Is sec^2(x)= 2/((1+cos^2(x))) ?

The answer to whether sec^2(x)= 2/((1+cos^2(x))) is False

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prove sec^2(x)= 2/((1+cos^2(x)))

prove

sec^{2} (x) = \frac{2}{( 1 + cos ^{2} ( x ) )}

False

Solution steps

sec^{2} (x) = \frac{2}{1 + cos ^{2} ( x )}

Show that the two sides are not equal

For

sec^{2} (x) = \frac{2}{1 + cos ^{2} ( x )}

plug in

x = 1

sec^{2} (1) = 3.42551 \dots

sec^{2} (1)

Refine to a decimal form

= 3.42551 \dots

\frac{2}{1 + cos ^{2} ( 1 )} = 1.54807 \dots

\frac{2}{1 + cos ^{2} ( 1 )}

Refine to a decimal form

= 1.54807 \dots

The two sides are not equal

\Rightarrow False

Is sec^2(x)= 2/((1+cos^2(x))) ?
The answer to whether sec^2(x)= 2/((1+cos^2(x))) is False