Question

If sin + coseco = 2, then the value of sin' e + cosec e is
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Answer 1

Answer:

2

Step-by-step explanation:

sinθ+cosecθ=2

⇒sinθ+1sinθ=2

⇒1+sin2θ−2sinθ=0

⇒(1−sinθ)2=0

⇒sinθ=1

So, cosecθ=1sinθ=1.

So, sin20θ+cosec20θ=120+120=1+1=2