Is tan(x)(tan(2x))=tan^2(2x) ?

The answer to whether tan(x)(tan(2x))=tan^2(2x) is False

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prove tan(x)(tan(2x))=tan^2(2x)

prove

tan (x) (tan (2 x)) = tan^{2} (2 x)

False

Solution steps

tan (x) tan (2 x) = tan^{2} (2 x)

Show that the two sides are not equal

For

tan (x) tan (2 x) = tan^{2} (2 x)

plug in

x = 1

tan (1) tan (2 \cdot 1) = - 3.40299 \dots

tan (1) tan (2 \cdot 1)

Refine to a decimal form

= - 3.40299 \dots

tan^{2} (2 \cdot 1) = 4.77439 \dots

tan^{2} (2 \cdot 1)

Refine to a decimal form

= 4.77439 \dots

The two sides are not equal

\Rightarrow False

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\frac{sin ( 6 x )}{cos ( 6 x )} = 6 sin (x)

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Is tan(x)(tan(2x))=tan^2(2x) ?
The answer to whether tan(x)(tan(2x))=tan^2(2x) is False