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Target 45+ in SSC CGL Maths (Series): Trigonometry Quiz

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Question 1

What is the value of:

Question 2

If the value of sinθ + cosθ =

then the value of sinθ.cosθ is :

Question 3

(tan3θ−tan2θ−tanθ) is equal to:

Question 4

The value of

is:

Question 5

If cos 11π/6 = x, then the value of x is

Question 6

Find the square root of the following summation.
152(sin 30° + 2cos² 45° + 3sin 30° + 4cos² 45° +........................+ 17sin 30° + 18cos² 45°)

Question 7

If cot(A/2) = x ; then the value of x is

Question 8

The angles of elevation of the top of a building from the top and bottom of a tree are 30^o and 60^o respectively. If the height of the tree is 50 m, then what is the height of the building?

Question 9

If the length of the shadow of a vertical pole be √3 times the height of the pole, the angle of elevation of the sun is:

Question 10

If and _; then the value of (2cot²x−3sec²x) is:

Question 11

If sec x.(sin x + cos x) = √2, find

Question 12

If θ is an acute angle and it is given that 5sinθ + 12cosθ = 13, then what is the value of tanθ?

Question 13

If secθ + tanθ = p, (p > 1) then

Question 14

The value of

is equal to :

Question 15

Find the value of:

Question 16

If cos θ = 4/5; then the value of

is:

Question 17

The value of (1+cotθ–cosecθ)(1+cosθ+sinθ)secθ = ?

Question 18

If cos(A/2) = x; then the value of x is:

Question 19

A boat is sailing towards a lighthouse of height 20√3 m at a certain speed. The angle of elevation of the top of the lighthouse changes from 30° to 60° in 10 seconds. What is the time taken (in seconds) by the boat to reach the lighthouse from its initial position?

Question 20

If 3 sinθ + 4 cos θ = 5 (0 < θ < 90^°); then the value of sinθ is:

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Oct 4SSC & Railway