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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

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