Is cos^4((-3pi)/4)=cos^4(pi/4) ?

The answer to whether cos^4((-3pi)/4)=cos^4(pi/4) is True

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prove cos^4((-3pi)/4)=cos^4(pi/4)

prove

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

True

Solution steps

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

Manipulating left side

cos^{4} (\frac{- 3 π}{4})

Simplify

cos^{4} (\frac{- 3 π}{4}) : \frac{1}{4}

= \frac{1}{4}

Manipulating right side

cos^{4} (\frac{π}{4})

Simplify

cos^{4} (\frac{π}{4}) : \frac{1}{4}

= \frac{1}{4}

We showed that the two sides could take the same form

\Rightarrow True

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

sec (x) - 2 tan (x) = 0

Is cos^4((-3pi)/4)=cos^4(pi/4) ?
The answer to whether cos^4((-3pi)/4)=cos^4(pi/4) is True