Is cos(θ+pi/2)=-sin(θ) ?

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

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prove cos(θ+pi/2)=-sin(θ)

prove

cos (θ + \frac{π}{2}) = - sin (θ)

True

Solution steps

cos (θ + \frac{π}{2}) = - sin (θ)

Manipulating left side

cos (θ + \frac{π}{2})

Rewrite using trig identities

= - sin (θ)

We showed that the two sides could take the same form

\Rightarrow True

sin^{2} (a) + cos^{2} (a) = 1

csch^{2} (x) = coth^{2} (x) - 1

\frac{1}{sec ( x ) + tan ( x )} = sec (x) - tan (x)

\frac{tan ( y )}{csc ( y )} = \frac{1}{cos ( y )} - \frac{1}{sec ( y )}

\frac{1 + sin ( x )}{cos ( x )} = sec (x) + tan (x)