Is cos(pi/6)=sin(pi/6+pi/2) ?

The answer to whether cos(pi/6)=sin(pi/6+pi/2) is True

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prove cos(pi/6)=sin(pi/6+pi/2)

prove

cos (\frac{π}{6}) = sin (\frac{π}{6} + \frac{π}{2})

True

Solution steps

cos (\frac{π}{6}) = sin (\frac{π}{6} + \frac{π}{2})

Manipulating left side

cos (\frac{π}{6})

Simplify

= \frac{3}{2}

Manipulating right side

sin (\frac{π}{6} + \frac{π}{2})

Rewrite using trig identities

= \frac{3}{2}

We showed that the two sides could take the same form

\Rightarrow True

cos^{4} (\frac{- 3 π}{4}) = cos^{4} (\frac{π}{4})

cos (6 x) + cos (2 x) = 2 cos (4 x) cos (2 x)

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

sin (\frac{π}{4}) + cos (\frac{π}{4}) = 2

cos (- θ) csc (- θ) tan (- θ) = 1

Is cos(pi/6)=sin(pi/6+pi/2) ?
The answer to whether cos(pi/6)=sin(pi/6+pi/2) is True