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

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

Popular >

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

prove

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

True

Solution steps

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

Manipulating left side

csc (2 x) - cot (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^{2} (x) (cot^{2} (x) + 1) = 1

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

cos (x + \frac{π}{6}) + sin (x - \frac{π}{3}) = 0

tanh^{2} (x) + sech^{2} (x) = 1

\frac{cos ( θ ) sec ( θ )}{cot ( θ )} = tan (θ)

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