Is tan(x)=(1-cos(2x))/(sin(x)) ?

The answer to whether tan(x)=(1-cos(2x))/(sin(x)) is False

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prove tan(x)=(1-cos(2x))/(sin(x))

prove

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

False

Solution steps

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

Show that the two sides are not equal

For

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

plug in

x = 1

tan (1) = 1.55740 \dots

tan (1)

Refine to a decimal form

= 1.55740 \dots

\frac{1 - cos ( 2 \cdot 1 )}{sin ( 1 )} = 1.68294 \dots

\frac{1 - cos ( 2 \cdot 1 )}{sin ( 1 )}

Refine to a decimal form

= 1.68294 \dots

The two sides are not equal

\Rightarrow False

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1 + tan^{2} (θ) = \frac{1}{cos ( θ )}

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sin (x) + 5 \cdot cos (x) = 1

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Is tan(x)=(1-cos(2x))/(sin(x)) ?
The answer to whether tan(x)=(1-cos(2x))/(sin(x)) is False