What is simplify-cos(pi/4+t) ?

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

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simplify-cos(pi/4+t)

simplify

- cos (\frac{π}{4} + t)

sin (- \frac{π}{4} + t)

Solution steps

- cos (\frac{π}{4} + t)

Rewrite using trig identities

= - \frac{2 cos ( t ) - 2 sin ( t )}{2}

Rewrite using trig identities

= - \frac{1 - tan ( t )}{sec ( t ) 2}

Factor

- \frac{1 - tan ( t )}{sec ( t ) 2} : - \frac{- 2 ( tan ( t ) - 1 )}{2 sec ( t )}

= - \frac{- ( - 1 + tan ( t ) ) 2}{2 sec ( t )}

Express with sin, cos

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

Rewrite using trig identities

= sin (- \frac{π}{4} + t)

sin (arccos (X))

6 - 12 sin^{2} (x)

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