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Trigonometry Mix || 24.05.2021

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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 30o and 60o 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:
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