What is 10cos(5t+pi/4) ?

The solution to 10cos(5t+pi/4) is 5(sqrt(2)cos(5t)-sqrt(2)sin(5t))

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simplify 10cos(5t+pi/4)

simplify

10 cos (5 t + \frac{π}{4})

5 (2 cos (5 t) - 2 sin (5 t))

Solution steps

10 cos (5 t + \frac{π}{4})

Rewrite using trig identities

= 10 \cdot \frac{2 cos ( 5 t ) - 2 sin ( 5 t )}{2}

Simplify

10 \cdot \frac{2 cos ( 5 t ) - 2 sin ( 5 t )}{2} : 5 (2 cos (5 t) - 2 sin (5 t))

= 5 (2 cos (5 t) - 2 sin (5 t))

f (x) = ln (arccos (x))

tan (arccos (c x))

cos (θ + 3 θ)

sec (225 0^{\circ} - x)

cos (4 5^{\circ} + x)

What is 10cos(5t+pi/4) ?
The solution to 10cos(5t+pi/4) is 5(sqrt(2)cos(5t)-sqrt(2)sin(5t))