Question

Find the value of sin(cot^-1 x)​

Answer 1

Answer:

sin(cot^-1x)

sin(cosx/sinx)

cancel sinx and answer will be cosx

Answer 2

Good morning dear

Here is your answer

Let cot

−1

x=θ

cotθ=x

sinθ

cosθ

=x

sin

2

θ

cos

2

θ

=x

2

(1−sin

2

θ)=x

2

sin

2

θ

sin

2

θ=

1+x

2

1

sinθ=

1+x

2

±1

sinθ=

1+x

2

1

or sinθ=−

1+x

2

1

∴sin(cot

−1

x)=(1+x

2

)

−

2

1

or sin(cot

−1

x)=−(1+x

2

)

−

2

1

Please mark my answer brainliest

And follow me

Please dear