If θ is an acute angle and sin θ + cosec θ = 2, then the value of sin5θ + cosec5θ is:
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Correct answer: B
Explanation
The correct answer is Option 2 i.e. 2.
sin θ + cosec θ = 2
⇒ sinθ + 1/sinθ = 2
If we consider sinθ = 1 then
⇒ 1 + 1/1 = 2
The value of sin5θ + cosec5θ
On putting sinθ = 1
⇒ sin5θ + 1/sin5θ = 1 + 1/1 = 1 + 1 = 2
Hence,
⇒ sin5θ + cosec5θ = 2