SSC CGL > SSC CGL (Tier - 1) - Previous Year Papers (Topic Wise) > SSC CGL Previous Year Questions: Trigonometry - 3

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SSC CGL Previous Year Questions: Trigonometry - 3 - Question 1

A kite is flying at the height of 75 m from the ground. The string makes an angle q (where cot θ = 8/15) with the level ground. Assuming that there is no slack in the string, the length of the string is equal to: (SSC CGL 1st Sit. 2015)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 3 - Question 1

SSC CGL Previous Year Questions: Trigonometry - 3 - Question 2

If 5 sin θ = 3, the numerical value of (SSC CGL 1st Sit. 2015)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 3 - Question 2

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

If q be acute angle and tan (4θ – 50°) = cot (50° – θ), then the value of θ in degrees is: (SSC CGL 1st Sit. 2015)

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

SSC CGL Previous Year Questions: Trigonometry - 3 - Question 4

The value of sin^{2}22° + sin^{2}68° + cot^{2}30° is (SSC CGL 1st Sit. 2015)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 3 - Question 4

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

If the sum and difference of two angles are 22/9 radian and 36° respectively, then the value of smaller angle in degree taking the value of π as 22/ 7 is: (SSC CGL 1st Sit. 2015)

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

SSC CGL Previous Year Questions: Trigonometry - 3 - Question 6

The minimum value of 2 sin^{2} θ + 3 cos^{2} θ is (SSC CGL 1st Sit. 2015)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 3 - Question 6

SSC CGL Previous Year Questions: Trigonometry - 3 - Question 7

A 10 m long ladder is placed against a wall. It is inclined at an angle of 30° to the ground. The distance (in m) of the foot of the ladder from the wall is (Given √3 = 1.732) (SSC CGL 1st Sit. 2015)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 3 - Question 7

SSC CGL Previous Year Questions: Trigonometry - 3 - Question 8

If x cos θ – sin θ = 1, then x^{2} – (1 + x^{2}) sin θ equals (SSC CGL 1st Sit. 2015)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 3 - Question 8

SSC CGL Previous Year Questions: Trigonometry - 3 - Question 9

The numerical value of (SSC CGL 1st Sit. 2015)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 3 - Question 9

SSC CGL Previous Year Questions: Trigonometry - 3 - Question 10

Find the value of tan 4° tan 43° tan 47° tan 86° (SSC CGL 1st Sit. 2015)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 3 - Question 10

SSC CGL Previous Year Questions: Trigonometry - 3 - Question 11

The maximum value of sin^{4}θ + cos^{4}θ is (SSC CGL 1st Sit. 2015)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 3 - Question 11

SSC CGL Previous Year Questions: Trigonometry - 3 - Question 12

If α + β = 90° then the expression is equal to: (SSC CHSL 2015)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 3 - Question 12

SSC CGL Previous Year Questions: Trigonometry - 3 - Question 13

If sin 2θ = √3/2 then the value of sin 3θ is equal to: (take (0° ≤ θ ≤ 90°) (SSC CHSL 2015)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 3 - Question 13

SSC CGL Previous Year Questions: Trigonometry - 3 - Question 14

If then the value of sin^{2}θ is: (SSC CHSL 2015)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 3 - Question 14

SSC CGL Previous Year Questions: Trigonometry - 3 - Question 15

Value of the expression:

(SSC CHSL 2015)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 3 - Question 15

SSC CGL Previous Year Questions: Trigonometry - 3 - Question 16

The value of x in the equation

(SSC CHSL 2015)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 3 - Question 16

SSC CGL Previous Year Questions: Trigonometry - 3 - Question 17

From two points on the ground and lying on a straight line through the foot of a pillar, the two angles of elevation of the top of the pillar are complementary to each other. If the distances of the two points from the foot of the pillar are 12 metres and 27 metres and the two points lie on the same side of the pillar, then the height (in metres) of the pillar is: (SSC Sub. Ins. 2015)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 3 - Question 17

SSC CGL Previous Year Questions: Trigonometry - 3 - Question 18

If sin θ + sin^{2} θ =1, then the value of cos^{2} θ + cos^{4} θ is: (SSC Sub. Ins. 2015)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 3 - Question 18

SSC CGL Previous Year Questions: Trigonometry - 3 - Question 19

If α is an acute angle and 2sin α + 15cos^{2} α = 7, then the value of cot α is: (SSC Sub. Ins. 2015)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 3 - Question 19

SSC CGL Previous Year Questions: Trigonometry - 3 - Question 20

The shadow of a tower standing on a level plane is found to be 40m longer when the sun’s altitude is 45° than when it is 60°. The height of the tower is: (SSC Sub. Ins. 2015)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 3 - Question 20

SSC CGL Previous Year Questions: Trigonometry - 3 - Question 21

The length of the shadow of a vertical tower on level ground increases by 10 metres when the altitude of the sun changes from 45° to 30°. Then the height of the tower is (SSC CHSL 2014)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 3 - Question 21

SSC CGL Previous Year Questions: Trigonometry - 3 - Question 22

If sin θ + cos θ = √2 cos θ, then the value of cot θ is (SSC CGL 2014)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 3 - Question 22

SSC CGL Previous Year Questions: Trigonometry - 3 - Question 23

If cos α + sec α = √3, then the value of cos^{3} α + sec^{3} α is (SSC CGL 2014)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 3 - Question 23

SSC CGL Previous Year Questions: Trigonometry - 3 - Question 24

If θ is a positive acute angle and cosec θ + cot θ = √3, then the value of cosec θ is (SSC CGL 2014)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 3 - Question 24

SSC CGL Previous Year Questions: Trigonometry - 3 - Question 25

If sin 17° = x/y then sec 17° – sin 73° is equal to (SSC CGL 2014)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 3 - Question 25

SSC CGL Previous Year Questions: Trigonometry - 3 - Question 26

The shadow of a tower standing on a level plane is found to be 30 m longer when the Sun's altitude changes from 60° to 45°. The height of the tower is (SSC CGL 2014)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 3 - Question 26

SSC CGL Previous Year Questions: Trigonometry - 3 - Question 27

The value of is equal to (SSC CGL 2014)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 3 - Question 27

SSC CGL Previous Year Questions: Trigonometry - 3 - Question 28

The value of sin^{2}1° + sin^{2}2° + sin^{2}3° + .... + sin^{2}89° is (SSC CGL 2014)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 3 - Question 28

SSC CGL Previous Year Questions: Trigonometry - 3 - Question 29

If (r cosθ - √3)^{2} + (r sinθ – 1)^{2} = 0, then the value of is equal to (SSC CHSL 2014)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 3 - Question 29

SSC CGL Previous Year Questions: Trigonometry - 3 - Question 30

If θ is a positive acute angle and 4 cos^{2} θ – 4 cos θ + 1 = 0, then the value of tan (θ – 15°) is equal to (SSC CHSL 2014)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 3 - Question 30

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 3 - Question 31

SSC CGL Previous Year Questions: Trigonometry - 3 - Question 32

If x = a sin θ and y = b tan θ then prove that (SSC Sub. Ins. 2014)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 3 - Question 32

SSC CGL Previous Year Questions: Trigonometry - 3 - Question 33

From the top of a light-house at a height 20 metres above sea-level, the angle of depression of a ship is 30°. The distance of the ship from the foot of the light-house is (SSC Sub. Ins. 2014)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 3 - Question 33

SSC CGL Previous Year Questions: Trigonometry - 3 - Question 34

A kite is flying at a height of 50 metre. If the length of string is 100 metre then the inclination of string to the horizontal ground in degree measure is (SSC Sub. Ins. 2014)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 3 - Question 34

SSC CGL Previous Year Questions: Trigonometry - 3 - Question 35

The simplest value of sin^{2}x + 2 tan^{2}x – 2 sec^{2} x + cos^{2} x is (SSC Sub. Ins. 2014)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 3 - Question 35

SSC CGL Previous Year Questions: Trigonometry - 3 - Question 36

If 0 ≤ θ ≤ π/2 and sec^{2} θ + tan^{2} θ = 7, then θ is (SSC Sub. Ins. 2014)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 3 - Question 36

SSC CGL Previous Year Questions: Trigonometry - 3 - Question 37

The value of (sec^{2} A – cosec^{2} A) (SSC CGL 1st Sit. 2013)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 3 - Question 37

SSC CGL Previous Year Questions: Trigonometry - 3 - Question 38

sin^{2}θ – 3 sinθ + 2 = 0 will be true if (SSC CGL 1st Sit. 2013)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 3 - Question 38

SSC CGL Previous Year Questions: Trigonometry - 3 - Question 39

The eliminant of θ from x cos θ – y sin θ = 2 and x sin θ + y cos θ = 4 will give (SSC CGL 1st Sit. 2013)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 3 - Question 39

SSC CGL Previous Year Questions: Trigonometry - 3 - Question 40

If tan θ + cot θ = 2, then the value of tan^{2}θ + cot^{2}θ is (SSC CGL 1st Sit. 2013)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 3 - Question 40

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