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Trigonometry || 12.08.2022

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Question 1

If sin α + cos β = 2 (0 ° ≤ β < α ≤ 90 °) then sin

Question 2

If x = cosec θ – sin θ and y= sec θ – cos θ, then the value of x2y2 (x2 + y2 + 3) is:

Question 3

sin2 21° + sin2 69° is equal to

Question 4

Which one of the following is true for 0° < θ < 90°?

Question 5

In △ABC, ∠B = 90° and AB: BC = 2:1. The value of sin A + cot C is

Question 6

What is the minimum value of 25 tan2x + 36 cot2x?

Question 7

Two equal poles are standing opposite to each other on either side of a 50m wide road. From a point on the road, the angles of elevation of the top of two poles are 30° and 45°. Find the height of the two poles.

Question 8

If cosec x − cot x = 8, then find the value of sinx?

Question 9

The value of tan1 ° × tan2 ° × tan3 ° ×………..tan89 ° is

Question 10

One person flies a kite with a thread 150 metre long. If the thread of the kite makes an angle of 60 ° with the horizontal line then the height of the kite from the ground (assuming the thread to be in a straight line) is?
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