Is (5sin(2θ))/(2sin(θ))=5cos(θ) ?

The answer to whether (5sin(2θ))/(2sin(θ))=5cos(θ) is True

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prove (5sin(2θ))/(2sin(θ))=5cos(θ)

prove

\frac{5 sin ( 2 θ )}{2 sin ( θ )} = 5 cos (θ)

True

Solution steps

\frac{5 sin ( 2 θ )}{2 sin ( θ )} = 5 cos (θ)

Manipulating left side

\frac{5 sin ( 2 θ )}{2 sin ( θ )}

Rewrite using trig identities

= 5 cos (θ)

We showed that the two sides could take the same form

\Rightarrow True

(1 - cos (x))^{2} = 1 + cos^{2} (x)

\frac{tan ( a ) + cot ( a )}{tan ( a )} = csc^{2} (a)

sin (2 u) = 2 sin (u) cos (u)

- 2 cos (θ) = 2 sin (θ)

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

Is (5sin(2θ))/(2sin(θ))=5cos(θ) ?
The answer to whether (5sin(2θ))/(2sin(θ))=5cos(θ) is True