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CDS || Mathematics || Trigonometry || 05-02-2019

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Question 1

If 7sin2x + 3cos2x = 4, 0° ≤ x ≤ 90°, then the value of tanx is

Question 2

If θ is an acute angle and tanθ + cotθ = 2; then the value of tan5θ + cot5 θ is

Question 3

If Sec θ = 13/12, then Cot θ =?

Question 4

If (sin α + cosec α)2 + (cos α + sec α)2 = k + tan2 α + cot2 α, then the value of k is

Question 5

If and , then the value of
is

Question 6

Find the value of: cos2 5° + cos2 9° + cos2 13° + …… + cos2 81° + cos2 85°.

Question 7

If 2cosθ − sinθ = 1/√2 ; 0° < θ < 90°, the value of 2sinθ + cosθ is -

Question 8

The least value of (4sec2θ + 9cosec2θ) is:

Question 9

What is the value of tan 6° tan 36° tan 84° tan 54° tan 45°?

Question 10

If θ is positive acute angle and 3(sec2 θ + tan2 θ) = 5, then which one is true?
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