Is (1-sin^4(x))/(cos^4(x))=1+2tan(x) ?

The answer to whether (1-sin^4(x))/(cos^4(x))=1+2tan(x) is False

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prove (1-sin^4(x))/(cos^4(x))=1+2tan(x)

prove

\frac{1 - sin ^{4} ( x )}{cos ^{4} ( x )} = 1 + 2 tan (x)

False

Solution steps

\frac{1 - sin ^{4} ( x )}{cos ^{4} ( x )} = 1 + 2 tan (x)

Show that the two sides are not equal

For

\frac{1 - sin ^{4} ( x )}{cos ^{4} ( x )} = 1 + 2 tan (x)

plug in

x = 1

\frac{1 - sin ^{4} ( 1 )}{cos ^{4} ( 1 )} = 5.85103 \dots

\frac{1 - sin ^{4} ( 1 )}{cos ^{4} ( 1 )}

Refine to a decimal form

= 5.85103 \dots

1 + 2 tan (1) = 4.11481 \dots

1 + 2 tan (1)

Refine to a decimal form

= 4.11481 \dots

The two sides are not equal

\Rightarrow False

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Is (1-sin^4(x))/(cos^4(x))=1+2tan(x) ?
The answer to whether (1-sin^4(x))/(cos^4(x))=1+2tan(x) is False