Is prove-sin(x)=cos(pi/2+x) ?

The answer to whether prove-sin(x)=cos(pi/2+x) is True

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prove-sin(x)=cos(pi/2+x)

prove

- sin (x) = cos (\frac{π}{2} + x)

True

Solution steps

- sin (x) = cos (\frac{π}{2} + x)

Manipulating right side

cos (\frac{π}{2} + x)

Rewrite using trig identities

= - sin (x)

We showed that the two sides could take the same form

\Rightarrow True

sin (a + b) - sin (a - b) = 2 cos (a) sin (b)

1 + cot^{2} (θ) = \frac{1}{sin ^{2} ( θ )}

sin (2 π - x) = - sin (x)

csc (θ) - \frac{sin ( θ )}{1 + cos ( θ )} = cot (θ)

\frac{1}{sin ( x ) cos ( x )} - cot (x) = tan (x)

Is prove-sin(x)=cos(pi/2+x) ?
The answer to whether prove-sin(x)=cos(pi/2+x) is True