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

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

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

prove

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

False

Solution steps

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

Show that the two sides are not equal

For

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

plug in

A = 1

\frac{1}{csc ^{2} ( 1 )} + \frac{1}{cot ^{2} ( 1 )} = 3.13359 \dots

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

Refine to a decimal form

= 3.13359 \dots

The two sides are not equal

\Rightarrow False

(cos (3 x) - cos (x)) = - 2 sin (2 x) sin (x)

sec (\frac{π}{2} - y) = csc (y)

cos (2 x - \frac{π}{2}) = cos (\frac{π}{2} - 2 x)

sin (\frac{π}{2} - x) cot (\frac{π}{2} + x) = - sin (x)

cos (x) \cdot csc (x) \cdot tan (x) = 1

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