Is sin^2(x)*(1+cot^2(x))=1 ?

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

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prove sin^2(x)*(1+cot^2(x))=1

prove

sin^{2} (x) \cdot (1 + cot^{2} (x)) = 1

True

Solution steps

sin^{2} (x) (1 + cot^{2} (x)) = 1

Manipulating left side

sin^{2} (x) (1 + cot^{2} (x))

Express with sin, cos

= cos^{2} (x) + sin^{2} (x)

Rewrite using trig identities

= 1

We showed that the two sides could take the same form

\Rightarrow True

1 + tan^{2} (a) = \frac{1}{cos ^{2} ( a )}

2 cos^{2} (x) - 1 = cos^{2} (x) - sin^{2} (x)

\frac{1 + tan ( θ )}{1 + cot ( θ )} = tan (θ)

cos (x + 1) = cos (- x - 1)

cos (x) (tan (x) sec (x)) = sin (x) - 1

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