SSC CGL > SSC CGL (Tier - 1) - Previous Year Papers (Topic Wise) > SSC CGL Previous Year Questions: Trigonometry - 5

Test Description

SSC CGL Previous Year Questions: Trigonometry - 5 for SSC CGL 2023 is part of SSC CGL (Tier - 1) - Previous Year Papers (Topic Wise) preparation. The SSC CGL Previous Year Questions: Trigonometry - 5 questions and answers have been
prepared according to the SSC CGL exam syllabus.The SSC CGL Previous Year Questions: Trigonometry - 5 MCQs are made for SSC CGL 2023 Exam. Find important
definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for SSC CGL Previous Year Questions: Trigonometry - 5 below.

Solutions of SSC CGL Previous Year Questions: Trigonometry - 5 questions in English are available as part of our SSC CGL (Tier - 1) - Previous Year Papers (Topic Wise) for SSC CGL & SSC CGL Previous Year Questions: Trigonometry - 5 solutions in
Hindi for SSC CGL (Tier - 1) - Previous Year Papers (Topic Wise) course. Download more important topics, notes, lectures and mock
test series for SSC CGL Exam by signing up for free. Attempt SSC CGL Previous Year Questions: Trigonometry - 5 | 41 questions in 41 minutes | Mock test for SSC CGL preparation | Free important questions MCQ to study SSC CGL (Tier - 1) - Previous Year Papers (Topic Wise) for SSC CGL Exam | Download free PDF with solutions

1 Crore+ students have signed up on EduRev. Have you? Download the App |

SSC CGL Previous Year Questions: Trigonometry - 5 - Question 1

The angles of elevation of the top of a tower standing on a horizontal plane from two points on a line passing through the foot of the tower at a distance 9 ft and 16 ft respectively are complementary angles. Then the height of the tower is (SSC CGL 2nd Sit. 2012)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 5 - Question 1

SSC CGL Previous Year Questions: Trigonometry - 5 - Question 2

is equal to (SSC CGL 2nd Sit. 2012)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 5 - Question 2

SSC CGL Previous Year Questions: Trigonometry - 5 - Question 3

then the value of is (SSC CGL 2nd Sit. 2012)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 5 - Question 3

SSC CGL Previous Year Questions: Trigonometry - 5 - Question 4

In a triangle ABC, AB = AC, BA is produced to D in such a manner that AC = AD. The circular measure of ∠BCD is (SSC CGL 2nd Sit. 2012)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 5 - Question 4

SSC CGL Previous Year Questions: Trigonometry - 5 - Question 5

The radian measure of 63°14'51" is (SSC CGL 2nd Sit. 2012)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 5 - Question 5

SSC CGL Previous Year Questions: Trigonometry - 5 - Question 6

If sec θ + tan θ = √3, then the positive value of sin θ is (SSC CGL 2nd Sit. 2012)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 5 - Question 6

SSC CGL Previous Year Questions: Trigonometry - 5 - Question 7

If 2y cos θ = x sin θ and 2x sec θ – y cosec θ = 3, then the relation between x and y is (SSC CGL 2nd Sit. 2012)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 5 - Question 7

SSC CGL Previous Year Questions: Trigonometry - 5 - Question 8

If sinθ + sin^{2}θ = 1, then the value of cos^{12}θ + 3cos^{10}θ + 3cos^{8}θ + cos^{6}θ – 1 is (SSC CGL 1st Sit. 2012)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 5 - Question 8

SSC CGL Previous Year Questions: Trigonometry - 5 - Question 9

When the angle of elevation of the sum increases from 30° to 60°, the shadow of a post is diminished by 5 metres. then the height of the post is (SSC CGL 1st Sit. 2012)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 5 - Question 9

SSC CGL Previous Year Questions: Trigonometry - 5 - Question 10

If 0 ≤ 2 ≤ π/2, 2y cosθ = x sin θ and 2x secθ – y cosecθ = 3, then the value of x^{2} + 4y^{2} is (SSC CGL 1st Sit. 2012)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 5 - Question 10

SSC CGL Previous Year Questions: Trigonometry - 5 - Question 11

If x = cosecθ – sinθ and y = secθ – cosθ, then the value of x^{2}y^{2 }(x^{2} + y^{2} + 3) is (SSC CGL 1st Sit. 2012)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 5 - Question 11

SSC CGL Previous Year Questions: Trigonometry - 5 - Question 12

If tan (x + y) tan (x – y) = 1, then the value of tan (2x/3) is (SSC CGL 1st Sit. 2012)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 5 - Question 12

SSC CGL Previous Year Questions: Trigonometry - 5 - Question 13

The least value of (4sec^{2}θ + 9 cosec^{2}θ) is (SSC CGL 1st Sit. 2012)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 5 - Question 13

SSC CGL Previous Year Questions: Trigonometry - 5 - Question 14

If 5 tanθ = 4, then the value of (SSC CGL 1st Sit. 2012)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 5 - Question 14

SSC CGL Previous Year Questions: Trigonometry - 5 - Question 15

If x, y are positive acute angles, x + y < 90° and sin (2x – 20°) = cos (2y + 20°), then the value of sec (x + y) is (SSC CGL 2nd Sit. 2012)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 5 - Question 15

SSC CGL Previous Year Questions: Trigonometry - 5 - Question 16

If α is a positive acute angle and 2sinα + 15cos^{2}α = 7, then the value of cotα is: (SSC CGL 2nd Sit. 2012)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 5 - Question 16

SSC CGL Previous Year Questions: Trigonometry - 5 - Question 17

If (a^{2} – b^{2}) sinθ + 2ab cosθ = a^{2} + b^{2}, then the value of tanθ is (SSC CGL 2nd Sit. 2012)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 5 - Question 17

SSC CGL Previous Year Questions: Trigonometry - 5 - Question 18

If tan θ – cot θ = a and cos θ – sin θ = b, then the value of (a^{2} + 4) (b^{2} – 1)^{2} is: (SSC CGL 2nd Sit. 2012)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 5 - Question 18

SSC CGL Previous Year Questions: Trigonometry - 5 - Question 19

If a^{3} – b^{3} = 56 and a – b = 2, then the value of (a^{2} + b^{2}) is: (SSC CGL 2nd Sit. 2012)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 5 - Question 19

SSC CGL Previous Year Questions: Trigonometry - 5 - Question 20

The simplified value of (SSC CGL 2nd Sit. 2012)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 5 - Question 20

SSC CGL Previous Year Questions: Trigonometry - 5 - Question 21

The least value of 4 cosec^{2}α + 9sin^{2}α is: (SSC CGL 2nd Sit. 2012)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 5 - Question 21

SSC CGL Previous Year Questions: Trigonometry - 5 - Question 22

If tan(x + y) tan (x – y) = 1, then the value of tan x is: (SSC CGL 2nd Sit. 2012)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 5 - Question 22

SSC CGL Previous Year Questions: Trigonometry - 5 - Question 23

A boy standing in the middle of a field, observes a flying bird in the north at an angle of elevation of 30° and after 2 minutes, he observes the same bird in the south at an angle of elevation of 60°. If the bird flies all along in a straight line at a height of 50√3 m, then its speed in km/h is: (SSC CGL 2nd Sit. 2012)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 5 - Question 23

SSC CGL Previous Year Questions: Trigonometry - 5 - Question 24

In a right-angled triangle ABC, ÐB is the right angle and AC = 2√5 cm. If AB – BC = 2 cm, then the value of (cos^{2}A – cos^{2}C) is: (SSC CGL 2nd Sit. 2012)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 5 - Question 24

SSC CGL Previous Year Questions: Trigonometry - 5 - Question 25

If cot A + cosec A = 3 and A is an acute angle, then the value of cos A is: (SSC CGL 2nd Sit. 2012)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 5 - Question 25

SSC CGL Previous Year Questions: Trigonometry - 5 - Question 26

If cos A + cos^{2} A = 1, then sin^{2} A + sin^{4} A is equal to (SSC CGL 1st Sit. 2012)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 5 - Question 26

SSC CGL Previous Year Questions: Trigonometry - 5 - Question 27

A tree is broken by the wind. If the top of the tree struck the ground at an angle of 30° and at a distance of 30 m from the root, then the height of the tree is (SSC CGL 1st Sit.2012)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 5 - Question 27

SSC CGL Previous Year Questions: Trigonometry - 5 - Question 28

sec^{4}θ – sec^{2}θ is equal to (SSC CGL 1st Sit. 2012)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 5 - Question 28

SSC CGL Previous Year Questions: Trigonometry - 5 - Question 29

If x sin^{3} θ + y cos^{3} θ = sin θ cos θ and x sin θ = y cos θ, sin θ ≠ 0, cos θ ≠ 0, then x^{2} + y^{2} is (SSC CGL 1st Sit. 2012)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 5 - Question 29

SSC CGL Previous Year Questions: Trigonometry - 5 - Question 30

If sin θ + cos θ = √2 cos (90° – θ), then cot θ is (SSC CGL 1st Sit. 2012)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 5 - Question 30

SSC CGL Previous Year Questions: Trigonometry - 5 - Question 31

If 2 – cos 2θ = 3 sin θ cos θ, sin θ ≠ cos θ then tan θ is (SSC CGL 1st Sit. 2012)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 5 - Question 31

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 5 - Question 32

SSC CGL Previous Year Questions: Trigonometry - 5 - Question 33

The least value of 2 sin^{2} θ + 3 cos^{2} θ is (SSC CGL 1st Sit. 2012)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 5 - Question 33

SSC CGL Previous Year Questions: Trigonometry - 5 - Question 34

If A and B are complementary angles, then the value of sin A cos B + cos A sin B – tan A tan B + sec^{2} A – cot^{2} B is (SSC CGL 1st Sit. 2012)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 5 - Question 34

SSC CGL Previous Year Questions: Trigonometry - 5 - Question 35

P and Q are two points observed from the top of a building 10√3 m high. If the angles of depression of the points are complementary and PQ = 20 m, then the distance of P from the building is (SSC CGL 1st Sit. 2012)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 5 - Question 35

SSC CGL Previous Year Questions: Trigonometry - 5 - Question 36

value of cos θ is: (SSC CHSL 2012)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 5 - Question 36

SSC CGL Previous Year Questions: Trigonometry - 5 - Question 37

then value of cot θ is: (SSC CHSL 2012)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 5 - Question 37

SSC CGL Previous Year Questions: Trigonometry - 5 - Question 38

then the value of sin 2θ_{1} + tan 3θ_{2} is equal to (Assume that 0 < θ_{1} - θ_{2} < θ_{1} + θ_{2} < 90°) (SSC Sub. Ins. 2012)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 5 - Question 38

SSC CGL Previous Year Questions: Trigonometry - 5 - Question 39

The value of (sec θ – cos θ) (cosec θ – sin θ) (tan θ + cot θ) is (SSC Sub. Ins. 2012)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 5 - Question 39

SSC CGL Previous Year Questions: Trigonometry - 5 - Question 40

tan 7° tan 23° tan 60° tan 67° tan 83° is equal to (SSC Sub. Ins. 2012)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 5 - Question 40

SSC CGL Previous Year Questions: Trigonometry - 5 - Question 41

A ladder is resting against a wall at height of 10m. If the ladder is inclined with the ground at an angle of 30°, then the distance of the foot of the ladder from the wall is (SSC Sub. Ins. 2012)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 5 - Question 41

Information about SSC CGL Previous Year Questions: Trigonometry - 5 Page

In this test you can find the Exam questions for SSC CGL Previous Year Questions: Trigonometry - 5 solved & explained in the simplest way possible.
Besides giving Questions and answers for SSC CGL Previous Year Questions: Trigonometry - 5, EduRev gives you an ample number of Online tests for practice

Download as PDF