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CDS || Mathematics || Trigonometry || 09-04-2019

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Question 1

For what value of , is (sin + cosec ) = 2.5 where 0 < 90?

Question 2

If cos = 4/5 and 0<<90, then the value of is:

Question 3

The value of (1 + tan2θ) (1 – Sin2θ) is

Question 4

Consider the following statements:
1) There is only value of x in the first quadrant that satisfies sinx + cosx = 2.
2) There is only one value of x in the first quadrant that satisfies sinx–cosx = 0
Which of the above is/are correct?

Question 5

Find the value of:

Question 6

The length of the shadow of a person s cm tall when the angle of elevation of the sun is is p cm. It is q cm when the angle of elevation of the sun is . Which one of the following is correct when = 3 ?

Question 7

If sec x = 13/12, Find the value of : cosec2x (1-tanx)(1+tanx) cos2x

Question 8

The angle of elevation of the tip of a tower from a point on the ground is 450 moving 21 m directly towards the base of the tower the angle of elevation changes to 600.what is the height of the tower to the nearest meter?

Question 9

If , then the value of is equal to

Question 10

If sin 7x = cos 11x, then the value of tan 9x + cot 9x is
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