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Popular >

simplify cos(x-pi/4)

Solution

simplify

cos (x - \frac{π}{4})

Solution

sin (\frac{π}{4} + x)

Solution steps

cos (x - \frac{π}{4})

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)

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Frequently Asked Questions (FAQ)

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