Question

heya brainlians!
HELP PLEASE
QUESTION:-
if cosec theta+sin theta =4 find the value of (sin²theta+cosec²theta)

please help ASAP​

Answer 1

Answer:

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Answer 2

sinθ+cosecθ=2

⟹sinθ+ (1/ sinθ) = 2

squaring on both sides

(sinθ+ 1/sinθ )²=4

⟹sin²θ+ 1/sin²θ+2(sinθ)(1/sinθ)=4

⟹sin²θ+1/sin²θ+2=4

⟹sin²θ+ 1/sin²θ =2

⟹sin²θ+cosec² θ=2

..hence proved..

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