Is 1/(cos(θ))*sin(θ)=tan(θ) ?

The answer to whether 1/(cos(θ))*sin(θ)=tan(θ) is True

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prove 1/(cos(θ))*sin(θ)=tan(θ)

prove

\frac{1}{cos ( θ )} \cdot sin (θ) = tan (θ)

True

Solution steps

\frac{1}{cos ( θ )} sin (θ) = tan (θ)

Manipulating left side

\frac{1}{cos ( θ )} sin (θ)

Simplify

= \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

sin (4 x) - cos (4 x) = cos (x)

cos (2 x) - sin^{2} (x) = cos^{2} (x) + 3 cos (x)

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

cos (33 0^{\circ}) = 1 - 2 sin^{2} (16 5^{\circ})

tan^{4} (x) = sec^{4} (x) - sec^{2} (x)

Is 1/(cos(θ))*sin(θ)=tan(θ) ?
The answer to whether 1/(cos(θ))*sin(θ)=tan(θ) is True