Is 1+csc^2(x)=(1+sin^2(x))/(sin^2(x)) ?

The answer to whether 1+csc^2(x)=(1+sin^2(x))/(sin^2(x)) is True

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prove 1+csc^2(x)=(1+sin^2(x))/(sin^2(x))

prove

1 + csc^{2} (x) = \frac{1 + sin ^{2} ( x )}{sin ^{2} ( x )}

True

Solution steps

1 + csc^{2} (x) = \frac{1 + sin ^{2} ( x )}{sin ^{2} ( x )}

Manipulating left side

1 + csc^{2} (x)

Express with sin, cos

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

We showed that the two sides could take the same form

\Rightarrow True

sec (θ) = cos (θ) + cos (θ) tan^{2} (θ)

\frac{cot ( x ) + csc ( x ) cos ( x )}{cot ( x )} = 2

sec (θ) - cos (θ) = sin (θ) \cdot tan (θ)

(2 sin (x) + cos (x))^{2} + (2 cos (x) - sin (x))^{2} = 5

cos (a) (sec (a) - cos (a)) = sin^{2} (a)

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