Is 1/(sin^2(x))= 1/(csc^2(x)) ?

The answer to whether 1/(sin^2(x))= 1/(csc^2(x)) is False

prove 1/(sin^2(x))= 1/(csc^2(x))

prove

\frac{1}{sin ^{2} ( x )} = \frac{1}{csc ^{2} ( x )}

False

Solution steps

\frac{1}{sin ^{2} ( x )} = \frac{1}{csc ^{2} ( x )}

Show that the two sides are not equal

For

\frac{1}{sin ^{2} ( x )} = \frac{1}{csc ^{2} ( x )}

plug in

x = 1

\frac{1}{sin ^{2} ( 1 )} = 1.41228 \dots

\frac{1}{sin ^{2} ( 1 )}

Refine to a decimal form

= 1.41228 \dots

\frac{1}{csc ^{2} ( 1 )} = 0.70807 \dots

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

Refine to a decimal form

= 0.70807 \dots

The two sides are not equal

\Rightarrow False

p ro v e sin (x) (1 + tan^{2} (x)) = sin (x) sec^{2} (x)

p ro v e \frac{tan ^{2} ( X )}{1 + cot ^{2} ( X )} = sin^{4} (X)

p ro v e sin (x) + cot (x) cos (x) = \frac{1}{sin ( x )}

p ro v e 1 + cos (6 x) = 2 cos^{2} (3 x)

p ro v e \frac{sec ( a )}{cot ( a ) + tan ( a )} = sin (a)

Is 1/(sin^2(x))= 1/(csc^2(x)) ?
The answer to whether 1/(sin^2(x))= 1/(csc^2(x)) is False