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Trigonometry || 30.04.2021

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Question 1

If (sin θ + cosec θ)2 + (cos θ + sec θ)2 = k + tan2 θ + cot2 θ, then the value of k is equal to:

Question 2

The value of  is:

Question 3

If tanθ + cotθ = 2 and θ is acute, then the value of tan100θ + cot100θ is equal to:

Question 4

If cos πx = x2 − x + 5/4; then the value of x can be 

Question 5

If x = a(sinθ+cosθ) and y = b (sinθ–cosθ) then (x2/a2 + y2/b2)= ?

Question 6

If xsin3θ + ycos3θ = sinθ.cosθ and xsinθ = ycosθ, then the value of x2 + y2 is:

Question 7

 is equal to:

Question 8

If tan2θ = 1−e2then the value of secθ + tan3θ.cosecθ is 

Question 9

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

Question 10

If A = 4(sin6θ + cos6θ) – 6(sin4θ + cos4θ) then the value of 5α such that sinα =  is:
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