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

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

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

prove

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

False

Solution steps

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

Show that the two sides are not equal

For

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

plug in

x = 1

\frac{1}{csc ( 1 )} = 0.84147 \dots

\frac{1}{csc ( 1 )}

Refine to a decimal form

= 0.84147 \dots

\frac{1}{sin ( 1 )} = 1.18839 \dots

\frac{1}{sin ( 1 )}

Refine to a decimal form

= 1.18839 \dots

The two sides are not equal

\Rightarrow False

sin (θ) - cos (θ) = 1

2 cos (x) - 2 cos^{3} (x) = sin (x) sin^{2} (x)

\frac{1}{1 + sin ( t )} = \frac{1 - sin ( t )}{cos ^{2} ( t )}

1 + tan^{2} (A) = sec^{3} (A) cos (A)

sec (0) - cos (0) = tan (0) sin (0)

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