Is sin((13pi)/2+x)=cos(x) ?

The answer to whether sin((13pi)/2+x)=cos(x) is True

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prove sin((13pi)/2+x)=cos(x)

prove

sin (\frac{13 π}{2} + x) = cos (x)

True

Solution steps

sin (\frac{13 π}{2} + x) = cos (x)

Manipulating left side

sin (\frac{13 π}{2} + x)

Rewrite using trig identities

= cos (x)

We showed that the two sides could take the same form

\Rightarrow True

tan^{2} (- θ) + 1 = sec^{2} (θ)

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

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

sin (θ - \frac{π}{2}) = cos (π + θ)

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

Is sin((13pi)/2+x)=cos(x) ?
The answer to whether sin((13pi)/2+x)=cos(x) is True