What is cos((3pi)/4-x) ?

The solution to cos((3pi)/4-x) is sin(-pi/4+x)

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simplify cos((3pi)/4-x)

simplify

cos (\frac{3 π}{4} - x)

sin (- \frac{π}{4} + x)

Solution steps

cos (\frac{3 π}{4} - x)

Rewrite using trig identities

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

Factor

- cos (x) 2 + sin (x) 2 : 2 (- cos (x) + sin (x))

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

Rewrite using trig identities

= sin (- \frac{π}{4} + x)

sin (- \frac{π}{3} r a d)

3 sin (2 x - π) + 1

3 sin (2 x - π) + 3

cos (3 π t + 2 π)

sin (2 t - 4 π)