Question

If sino + cosec0 = 2 then sin’0+ cosec’0 = ?
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Answer 1

If sin θ + cosec θ = 2, t...

MATHS

If sinθ + cosecθ = 2, thenfind the value of sin

2

θ + cosec

2

θ.

EASY

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ANSWER

Given sinθ+cosecθ=2

⟹sinθ+

sinθ

1

=2

squaring on both sides

(sinθ+

sinθ

1

)

2

=4

⟹sin

2

θ+

sin

2

θ

1

+2(sinθ)(

sinθ

1

)=4

⟹sin

2

θ+

sin

2

θ

1

+2=4

⟹sin

2

θ+

sin

2

θ

1

=2

⟹sin

2

θ+cosec

2

θ=2