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CDS || Mathematics || Trigonometry || 16-04-2019

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Question 1

If sin θ = 20/29, then what is the value of sec θ?

Question 2

Consider the following statements:
1). is true for all
2). is true for θ = 45 ° only.
Which of the above statements is/are correct?

Question 3

What is the value of ?

Question 4

A person from the top of a hill observes a vehicle moving towards him at a uniform speed. It takes 10 minutes for the angle of depression to change from 45 ° to 60 °. After this the time required by the vehicle to reach the bottom of the hill is

Question 5

If θ is an acute angle and sinθcos θ = 2cos3 θ – 1.5cos θ, then what is sin θ equal to?

Question 6

If cotA = x, then the value of x is

Question 7

An aeroplane flying at a height of 3000 m passes vertically above another aeroplane at an instant when the angles of elevation of the two planes from some point on the ground are 60 ° and 45 ° respectively. Then the vertical distance between the two planes is

Question 8

Find the value of (2k-1) .

Question 9

If sec θ + tan θ = m (>1), then the value of sin θ is (0 ° < θ < 90 °)

Question 10

Two poles of heights 6 m and 11 m stand vertically upright on a place ground. If the distance between their feet is 12 m, what is the distance between their tops ?
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