What is 10cos(2t+pi/4) ?

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

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simplify 10cos(2t+pi/4)

simplify

10 cos (2 t + \frac{π}{4})

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

Solution steps

10 cos (2 t + \frac{π}{4})

Rewrite using trig identities

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

Simplify

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

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

\frac{sin ( π + x ) - sin ( π )}{x}

cot^{2} (2 sec^{2} (t) - 2)

\frac{1}{sin ( x - \frac{π}{3} )}

tan (arcsin (2 x))

cos (arctan (x yz))

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