Is 1/(cos^2(A))+1/(cot^2(A))=1 ?

The answer to whether 1/(cos^2(A))+1/(cot^2(A))=1 is False

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prove 1/(cos^2(A))+1/(cot^2(A))=1

prove

\frac{1}{cos ^{2} ( A )} + \frac{1}{cot ^{2} ( A )} = 1

False

Solution steps

\frac{1}{cos ^{2} ( A )} + \frac{1}{cot ^{2} ( A )} = 1

Show that the two sides are not equal

For

\frac{1}{cos ^{2} ( A )} + \frac{1}{cot ^{2} ( A )} = 1

plug in

A = 1

\frac{1}{cos ^{2} ( 1 )} + \frac{1}{cot ^{2} ( 1 )} = 5.85103 \dots

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

Refine to a decimal form

= 5.85103 \dots

The two sides are not equal

\Rightarrow False

csc (θ) - sin (θ) = cot (θ) csc (θ)

cos (8 θ) = cos^{2} (4 θ) - sin^{2} (4 θ)

2 sec (2 α) cos (2 α) = 2

\frac{1}{sec ( x )} + 1 = \frac{sec ( x ) + 1}{sec ( x )}

tan^{2} (θ) = sec (θ) csc (θ) tan (θ) - 1

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