What is expand cos(pi/4-θ) ?

The solution to expand cos(pi/4-θ) is sin(pi/4+θ)

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expand cos(pi/4-θ)

expand

cos (\frac{π}{4} - θ)

sin (\frac{π}{4} + θ)

Solution steps

cos (\frac{π}{4} - θ)

Rewrite using trig identities

= \frac{2 cos ( θ ) + 2 sin ( θ )}{2}

Factor

cos (θ) 2 + sin (θ) 2 : 2 (cos (θ) + sin (θ))

= \frac{( cos ( θ ) + sin ( θ ) ) 2}{2}

Rewrite using trig identities

= sin (\frac{π}{4} + θ)

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