Is sec(x^2)+csc^2(x)=sec^2(x)csc^2(x) ?

The answer to whether sec(x^2)+csc^2(x)=sec^2(x)csc^2(x) is False

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prove sec(x^2)+csc^2(x)=sec^2(x)csc^2(x)

prove

sec (x^{2}) + csc^{2} (x) = sec^{2} (x) csc^{2} (x)

False

Solution steps

sec (x^{2}) + csc^{2} (x) = sec^{2} (x) csc^{2} (x)

Show that the two sides are not equal

For

sec (x^{2}) + csc^{2} (x) = sec^{2} (x) csc^{2} (x)

plug in

x = 1

sec (1^{2}) + csc^{2} (1) = 3.26309 \dots

sec (1^{2}) + csc^{2} (1)

Refine to a decimal form

= 3.26309 \dots

sec^{2} (1) csc^{2} (1) = 4.83780 \dots

sec^{2} (1) csc^{2} (1)

Refine to a decimal form

= 4.83780 \dots

The two sides are not equal

\Rightarrow False

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

cos (x - y) = cos (y - x)

tan^{2} (a) = \frac{sin ^{2} ( a )}{1 - sin ^{2} ( a )}

\frac{sec ^{2} ( x )}{csc ^{2} ( x )} = tan^{2} (x)

cos (4 π + x) = cos (x)

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