Is sin^2(θ)(cot^2(θ)+1)=1 ?

The answer to whether sin^2(θ)(cot^2(θ)+1)=1 is True

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prove sin^2(θ)(cot^2(θ)+1)=1

prove

sin^{2} (θ) (cot^{2} (θ) + 1) = 1

True

Solution steps

sin^{2} (θ) (cot^{2} (θ) + 1) = 1

Manipulating left side

sin^{2} (θ) (cot^{2} (θ) + 1)

Express with sin, cos

= cos^{2} (θ) + sin^{2} (θ)

Rewrite using trig identities

= 1

We showed that the two sides could take the same form

\Rightarrow True

sin (a - b) = sin (a) cos (b) - cos (a) sin (b)

\frac{sin ( θ ) + tan ( θ )}{cos ( θ ) + 1} = tan (θ)

2 + sec (A) cos (A) = 3

\frac{2}{cos ( x )} = 2 sec (x)

cos (x) = sin (x) tan^{2} (x) cot^{3} (x)

Is sin^2(θ)(cot^2(θ)+1)=1 ?
The answer to whether sin^2(θ)(cot^2(θ)+1)=1 is True