Is sin((17pi)/2+x)=cos(x) ?

The answer to whether sin((17pi)/2+x)=cos(x) is True

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prove sin((17pi)/2+x)=cos(x)

prove

sin (\frac{17 π}{2} + x) = cos (x)

True

Solution steps

sin (\frac{17 π}{2} + x) = cos (x)

Manipulating left side

sin (\frac{17 π}{2} + x)

Rewrite using trig identities

= cos (x)

We showed that the two sides could take the same form

\Rightarrow True

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

tan^{2} (x) + \frac{1}{sin ( x ) csc ( x )} = sec^{2} (x)

csc (- x) - sin (- x) = cos (- x) cot (- x)

(csc (x)) (tan (x)) = sec (x)

cot (\frac{x}{2}) = \frac{1 + cos ( x )}{sin ( x )}

Is sin((17pi)/2+x)=cos(x) ?
The answer to whether sin((17pi)/2+x)=cos(x) is True