What is 100sin(80t+15) ?

The solution to 100sin(80t+15) is 100((sqrt(6)+sqrt(2))/4 sin(80t)+(sqrt(6)-sqrt(2))/4 cos(80t))

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simplify 100sin(80t+15)

simplify

100 sin (80 t + 1 5^{\circ})

100 (\frac{6 + 2}{4} sin (80 t) + \frac{6 - 2}{4} cos (80 t))

Solution steps

100 sin (80 t + 1 5^{\circ})

Rewrite using trig identities

= 100 (\frac{6 + 2}{4} sin (80 t) + \frac{6 - 2}{4} cos (80 t))

sin (\frac{75 π}{2} - x)

tan (- s e^{45})

cos (- A)

- cos (πn) + cos (- πn)

cos (3 0^{\circ} - x)

What is 100sin(80t+15) ?
The solution to 100sin(80t+15) is 100((sqrt(6)+sqrt(2))/4 sin(80t)+(sqrt(6)-sqrt(2))/4 cos(80t))