SSC CGL > SSC CGL (Tier - 1) - Previous Year Papers (Topic Wise) > SSC CGL Previous Year Questions: Trigonometry - 4

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SSC CGL Previous Year Questions: Trigonometry - 4 - Question 1

(3π/5) radians is equal to (SSC CGL 1st Sit. 2013)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 4 - Question 1

SSC CGL Previous Year Questions: Trigonometry - 4 - Question 2

Evaluate: 3 cos 80° cosec 10° + 2 cos 59° cosec 31° (SSC CGL 1st Sit. 2013)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 4 - Question 2

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

If the angles of elevation of a balloon from two consecutive kilometre–stones along a road are 30° and 60° respectively, then the height of the balloon above the ground will be (SSC CGL 1st Sit. 2013)

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

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

From 125 metre high towers, the angle of depression of a car is 45°. Then how far the car is from the tower? (SSC CGL 1st Sit. 2013)

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

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

If tan α + cot α = 2, then the value of tan 7α + cot7α is (SSC CGL 1st Sit. 2013)

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

SSC CGL Previous Year Questions: Trigonometry - 4 - Question 6

If x = a cos θ – b sin θ, y = b cos θ + a sin θ, then find the value of x^{2} + y^{2}. (SSC CGL 1st Sit. 2013)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 4 - Question 6

SSC CGL Previous Year Questions: Trigonometry - 4 - Question 7

In a triangle, the angles are in the ratio 2 : 5 : 3. What is the value of the least angle in the radian? (SSC CGL 1st Sit. 2013)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 4 - Question 7

SSC CGL Previous Year Questions: Trigonometry - 4 - Question 8

The value of (SSC CGL 1st Sit. 2013)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 4 - Question 8

SSC CGL Previous Year Questions: Trigonometry - 4 - Question 9

The value of (SSC CGL 1st Sit. 2013)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 4 - Question 9

SSC CGL Previous Year Questions: Trigonometry - 4 - Question 10

The value of (SSC CGL 1st Sit. 2013)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 4 - Question 10

SSC CGL Previous Year Questions: Trigonometry - 4 - Question 11

If cos^{4}θ – sin^{4}θ = 2/3, then the value of 1 – 2 sin^{2}θ is (SSC CGL 1st Sit. 2013)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 4 - Question 11

SSC CGL Previous Year Questions: Trigonometry - 4 - Question 12

If cosθ + sinθ = √2 cos θ, then cosθ – sinθ is (SSC CGL 1st Sit. 2013)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 4 - Question 12

SSC CGL Previous Year Questions: Trigonometry - 4 - Question 13

The value of (SSC CGL 1st Sit. 2013)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 4 - Question 13

SSC CGL Previous Year Questions: Trigonometry - 4 - Question 14

If tan α = n tan β, and sin α = m sin β, then cos^{2} α is (SSC CGL 1st Sit. 2013)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 4 - Question 14

SSC CGL Previous Year Questions: Trigonometry - 4 - Question 15

The tops of two poles of height 24 m and 36 m are connected by a wire. If the wire makes an angle of 60° with the horizontal, then the length of the wire is (SSC CGL 1st Sit. 2013)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 4 - Question 15

SSC CGL Previous Year Questions: Trigonometry - 4 - Question 16

The value of (SSC CGL 1st Sit. 2013)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 4 - Question 16

SSC CGL Previous Year Questions: Trigonometry - 4 - Question 17

If tan θ = 3/4 and θ is acute, then cosec θ (SSC CGL 1st Sit. 2013)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 4 - Question 17

SSC CGL Previous Year Questions: Trigonometry - 4 - Question 18

One of the four an gles of a rhombus is 60°. If the length of each side of the rhombus is, 8 cm, then the length of the longer diagonal is (SSC CGL 2nd Sit. 2013)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 4 - Question 18

SSC CGL Previous Year Questions: Trigonometry - 4 - Question 19

If (1 + sinα) (1 + sinβ) (1 + sinγ) = (1 – sinα) (1 – sinβ) (1 – sinγ), then each side is equal to (SSC CGL 2nd Sit. 2013)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 4 - Question 19

SSC CGL Previous Year Questions: Trigonometry - 4 - Question 20

The value of 152 (sin 30° + 2 cos^{2} 45° + 3 sin 30° + 4 cos^{2} 45° +...+17 sin 30° + 18 cos^{2 }45°) is (SSC CGL 2nd Sit. 2013)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 4 - Question 20

SSC CGL Previous Year Questions: Trigonometry - 4 - Question 21

Maximum value of (2 sin θ + 3 cos θ) is (SSC CGL 2nd Sit. 2013)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 4 - Question 21

SSC CGL Previous Year Questions: Trigonometry - 4 - Question 22

If sin ( A – B ) = 1/2 and cos (A + B) = 1/2 where A > B > 0 and A + B is an acute angle, then the value B is (SSC CGL 2nd Sit. 2013)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 4 - Question 22

SSC CGL Previous Year Questions: Trigonometry - 4 - Question 23

Evaluate : tan 1° tan 2° tan 3° ........... tan 89°. (SSC CGL 1st Sit. 2013)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 4 - Question 23

SSC CGL Previous Year Questions: Trigonometry - 4 - Question 24

If secθ + tanθ = 2 + √5, then the value of sinθ + cosθ is? (SSC CGL 1st Sit. 2013)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 4 - Question 24

SSC CGL Previous Year Questions: Trigonometry - 4 - Question 25

If sinθ + cosecθ = 2, then sin^{9}θ + cosec^{9}θ is equal to ______. (SSC CGL 1st Sit. 2013)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 4 - Question 25

SSC CGL Previous Year Questions: Trigonometry - 4 - Question 26

The degree measure of 1 radian (taking π = (22 / 7)) is

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 4 - Question 26

SSC CGL Previous Year Questions: Trigonometry - 4 - Question 27

The value of (sin^{2} 25° + sin^{2} 65°) is: (SSC CGL 1st Sit. 2013)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 4 - Question 27

SSC CGL Previous Year Questions: Trigonometry - 4 - Question 28

The value of cos 1° cos 2° cos 3°............ cos 177° cos 178° cos 179° is: (SSC CGL 1st Sit. 2013)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 4 - Question 28

SSC CGL Previous Year Questions: Trigonometry - 4 - Question 29

The angle of elevation of a tower from a distance 100 m from its foot is 30°. Height of the tower is: (SSC CGL 1st Sit. 2013)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 4 - Question 29

SSC CGL Previous Year Questions: Trigonometry - 4 - Question 30

If 2(cos^{2}θ - sin^{2}θ) = 1, (θ is positive acute angle), then cotθ is equal to? (SSC CHSL 2013)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 4 - Question 30

SSC CGL Previous Year Questions: Trigonometry - 4 - Question 31

If x sin θ + y cos θ = and then the correct relation is (SSC CHSL 2013)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 4 - Question 31

SSC CGL Previous Year Questions: Trigonometry - 4 - Question 32

If 5 tan θ = 4, then (SSC CHSL 2013)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 4 - Question 32

SSC CGL Previous Year Questions: Trigonometry - 4 - Question 33

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 2013)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 4 - Question 33

SSC CGL Previous Year Questions: Trigonometry - 4 - Question 34

2 cosec^{2} 23° cot ^{2} 67° – sin^{2} 23° – sin^{2} 67°– cot^{2} 67° is equal to (SSC CHSL 2013)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 4 - Question 34

SSC CGL Previous Year Questions: Trigonometry - 4 - Question 35

If cosec θ – cot θ = 7/2, the value of cosec θ is: (SSC Sub. Ins. 2013)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 4 - Question 35

SSC CGL Previous Year Questions: Trigonometry - 4 - Question 36

If sin θ – cos θ = 1/2 the value of sin θ + cos θ is: (SSC Sub. Ins. 2013)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 4 - Question 36

SSC CGL Previous Year Questions: Trigonometry - 4 - Question 37

The minimum value of 4 tan^{2}θ + 9 cot^{2}θ is equal to (SSC Sub. Ins. 2013)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 4 - Question 37

SSC CGL Previous Year Questions: Trigonometry - 4 - Question 38

The value of tan 1° tan 2° tan 3° ... tan 89° is: (SSC Sub. Ins. 2013)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 4 - Question 38

SSC CGL Previous Year Questions: Trigonometry - 4 - Question 39

The simplified value of (1 + tan θ + sec θ) (1 + cot θ – cosec θ) is (SSC CGL 2nd Sit. 2012)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 4 - Question 39

SSC CGL Previous Year Questions: Trigonometry - 4 - Question 40

If sin^{2}α = cos^{3}α, then the value of (cot^{6}α – cot^{2}α) is (SSC CGL 2nd Sit. 2012)

Detailed Solution for SSC CGL Previous Year Questions: Trigonometry - 4 - Question 40

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