Is (csc(θ)sin(θ))/(cot(θ))=tan(θ) ?

The answer to whether (csc(θ)sin(θ))/(cot(θ))=tan(θ) is True

Popular >

prove (csc(θ)sin(θ))/(cot(θ))=tan(θ)

prove

\frac{csc ( θ ) sin ( θ )}{cot ( θ )} = tan (θ)

True

Solution steps

\frac{csc ( θ ) sin ( θ )}{cot ( θ )} = tan (θ)

Manipulating left side

\frac{csc ( θ ) sin ( θ )}{cot ( θ )}

Express with sin, cos

= \frac{sin ( θ )}{cos ( θ )}

Use the basic trigonometric identity:

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

= tan (θ)

We showed that the two sides could take the same form

\Rightarrow True

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

cot^{2} (A) - cos^{2} (A) = cot^{2} (A) cos^{2} (A)

cos^{2} (2 t) + sin^{2} (2 t) = 1

tan (α) + cot (2 α) = sec (2 α)

tan (x + \frac{π}{3}) = \frac{tan ( x ) + 3}{1 - 3 tan ( x )}

Is (csc(θ)sin(θ))/(cot(θ))=tan(θ) ?
The answer to whether (csc(θ)sin(θ))/(cot(θ))=tan(θ) is True