Is prove-cot(2x)+csc(2x)=tan(x) ?

The answer to whether prove-cot(2x)+csc(2x)=tan(x) is True

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prove-cot(2x)+csc(2x)=tan(x)

prove

- cot (2 x) + csc (2 x) = tan (x)

True

Solution steps

- cot (2 x) + csc (2 x) = tan (x)

Manipulating left side

- cot (2 x) + csc (2 x)

Express with sin, cos

= \frac{1 - cos ( 2 x )}{sin ( 2 x )}

Rewrite using trig identities

= \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

sin (π + 0) = - sin (0)

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

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

1 = csc^{2} (z) - cot^{2} (z)

sin (- x) + cos (- x) = cos (x) - sin (x)

Is prove-cot(2x)+csc(2x)=tan(x) ?
The answer to whether prove-cot(2x)+csc(2x)=tan(x) is True