Is sin^2(x)sec(x)csc(x)=tan(x) ?

The answer to whether sin^2(x)sec(x)csc(x)=tan(x) is True

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prove sin^2(x)sec(x)csc(x)=tan(x)

prove

sin^{2} (x) sec (x) csc (x) = tan (x)

True

Solution steps

sin^{2} (x) sec (x) csc (x) = tan (x)

Manipulating left side

sin^{2} (x) sec (x) csc (x)

Express with sin, cos

= \frac{sin ( x )}{cos ( x )}

Use the basic trigonometric identity:

\frac{sin ( x )}{cos ( x )} = tan (x)

= tan (x)

We showed that the two sides could take the same form

\Rightarrow True

4 sin (x) cos (x) + 1 = 2 sin (2 x) + 1

1 - \frac{tan ( θ ) cos ( θ )}{csc ( θ )} = cos^{2} (θ)

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

cot^{6} (x) = cot^{4} (x) csc^{2} (x) - cot^{4} (x)

tan^{2} (θ) (csc^{2} (θ) - 1) = 1

Is sin^2(x)sec(x)csc(x)=tan(x) ?
The answer to whether sin^2(x)sec(x)csc(x)=tan(x) is True