What is cos(-3t+pi/5) ?

The solution to cos(-3t+pi/5) is ((sqrt(5)+1)cos(3t)+sqrt(2)sqrt(5-\sqrt{5)}sin(3t))/4

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simplify cos(-3t+pi/5)

simplify

cos (- 3 t + \frac{π}{5})

\frac{( 5 + 1 ) cos ( 3 t ) + 2 5 - 5 sin ( 3 t )}{4}

Solution steps

cos (- 3 t + \frac{π}{5})

Rewrite using trig identities

= \frac{( 5 + 1 ) cos ( 3 t ) + 2 5 - 5 sin ( 3 t )}{4}

sin (2 x + 5 π)

sin (2 nπ) - sin (nπ)

csc (arctan (\frac{x}{5}))

tan (5 π + a)

sin (arctan (x) + arccos (0))

What is cos(-3t+pi/5) ?
The solution to cos(-3t+pi/5) is ((sqrt(5)+1)cos(3t)+sqrt(2)sqrt(5-\sqrt{5)}sin(3t))/4