Question

give right anser step-by-step

sin . cosec + sin 2 . cosec² + ____ + sin ⁹ . cosec⁹ = ?​

Answer 1

Step-by-step explanation:

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