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

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

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simplify-cos(x-pi/4)

simplify

- cos (x - \frac{π}{4})

- sin (\frac{π}{4} + x)

Solution steps

- cos (x - \frac{π}{4})

Rewrite using trig identities

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

Rewrite using trig identities

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

Express with sin, cos

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

Rewrite using trig identities

= - sin (\frac{π}{4} + x)

sin (x + π) + cos (x + π)

cos (x - 13 5^{\circ})

sin (kn + \frac{π}{3}) + e^{- 0.3 n}

sin (a - 18 0^{\circ})

tan (arcsec (\frac{x}{7}))

What is simplify-cos(x-pi/4) ?
The solution to simplify-cos(x-pi/4) is -sin(pi/4+x)