What is 4cos(60pit-pi/4) ?

The solution to 4cos(60pit-pi/4) is 2(sqrt(2)cos(60pit)+sqrt(2)sin(60pit))

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simplify 4cos(60pit-pi/4)

simplify

4 cos (60 π t - \frac{π}{4})

2 (2 cos (60 π t) + 2 sin (60 π t))

Solution steps

4 cos (60 π t - \frac{π}{4})

Rewrite using trig identities

= 4 \cdot \frac{2 cos ( 60 π t ) + 2 sin ( 60 π t )}{2}

Simplify

4 \cdot \frac{2 cos ( 60 π t ) + 2 sin ( 60 π t )}{2} : 2 (2 cos (60 π t) + 2 sin (60 π t))

= 2 (2 cos (60 π t) + 2 sin (60 π t))

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

tan (4 5^{\circ} + \frac{θ}{2})

sin (- π^{2} a)

\frac{x \cdot π}{sin ( x )}

sin (θ) cos (tan (θ) + cot (θ))

What is 4cos(60pit-pi/4) ?
The solution to 4cos(60pit-pi/4) is 2(sqrt(2)cos(60pit)+sqrt(2)sin(60pit))