What is expand cos(t-pi/4) ?

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

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expand cos(t-pi/4)

expand

cos (t - \frac{π}{4})

sin (\frac{π}{4} + t)

Solution steps

cos (t - \frac{π}{4})

Rewrite using trig identities

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

Factor

cos (t) 2 + sin (t) 2 : 2 (cos (t) + sin (t))

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

Rewrite using trig identities

= sin (\frac{π}{4} + t)

\frac{6}{( s - 4 ) ( s + 1 )}

(a x + b - 3 - 4 x)^{2}

(e h - f g) (a d - b c)

\frac{4 ( x + 2 )}{x}

(2 x^{3} - x^{2} + 2 x - 8)^{\circ} (x + 2)