What is (5+cos(100t+pi/3))^2 ?

The solution to (5+cos(100t+pi/3))^2 is (5+1/2 cos(100t)-(sqrt(3))/2 sin(100t))^2

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simplify (5+cos(100t+pi/3))^2

simplify

(5 + cos (100 t + \frac{π}{3}))^{2}

(5 + \frac{1}{2} cos (100 t) - \frac{3}{2} sin (100 t))^{2}

Solution steps

(5 + cos (100 t + \frac{π}{3}))^{2}

Rewrite using trig identities

= (5 + \frac{1}{2} cos (100 t) - \frac{3}{2} sin (100 t))^{2}

cot^{2} (9 0^{\circ} - θ)

10 cos (t - \frac{π}{6})

\frac{cos ^{2} ( θ ) - 1}{sin ( x )}

\frac{1}{cos ( π x )}

3 sin (2 x - \frac{π}{4}) + 2

What is (5+cos(100t+pi/3))^2 ?
The solution to (5+cos(100t+pi/3))^2 is (5+1/2 cos(100t)-(sqrt(3))/2 sin(100t))^2