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

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

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

prove

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

False

Solution steps

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

Show that the two sides are not equal

For

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

plug in

x = 1

\frac{2}{cos ^{2} ( 1 ) - tan ^{2} ( 1 )} = - 0.93738 \dots

\frac{2}{cos ^{2} ( 1 ) - tan ^{2} ( 1 )}

Refine to a decimal form

= - 0.93738 \dots

2 + tan^{2} (1) = 4.42551 \dots

2 + tan^{2} (1)

Refine to a decimal form

= 4.42551 \dots

The two sides are not equal

\Rightarrow False

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