What is cos(2θ-pi/4) ?

The solution to cos(2θ-pi/4) is sin(pi/4+2θ)

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simplify cos(2θ-pi/4)

simplify

cos (2 θ - \frac{π}{4})

sin (\frac{π}{4} + 2 θ)

Solution steps

cos (2 θ - \frac{π}{4})

Rewrite using trig identities

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

Factor

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

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

Rewrite using trig identities

= sin (\frac{π}{4} + 2 θ)

a sin (- \frac{1}{2} ka)

2 sin (2 x - \frac{π}{6}) + 2

arctan (- \frac{1}{tan ( ω t )})

4 sin (3 i^{2} n^{4} - 4 + 5)

f (x) = 8.06 sin (x - 29.7 4^{\circ})