Is csc(x)-cos^2(x)=sin(x) ?

The answer to whether csc(x)-cos^2(x)=sin(x) is False

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prove csc(x)-cos^2(x)=sin(x)

prove

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

False

Solution steps

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

Show that the two sides are not equal

For

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

plug in

x = 1

csc (1) - cos^{2} (1) = 0.89646 \dots

csc (1) - cos^{2} (1)

Refine to a decimal form

= 0.89646 \dots

sin (1) = 0.84147 \dots

sin (1)

Refine to a decimal form

= 0.84147 \dots

The two sides are not equal

\Rightarrow False

\frac{csc ( x ) + 1}{cot ( x ) + cos ( x )} = sec (x)

\frac{sin ( - x ) cot ( x )}{sin ( \frac{π}{2} - x )} = 1

csc^{2} (\frac{θ}{2}) = \frac{2}{1 - cos ( θ )}

sec (x) cos (x) + tan^{2} (x) = sec^{2} (x)

\frac{tan ^{2} ( θ ) + 1}{sec ( θ )} = sec (θ)

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