# trig

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Find all solutions in the interval [0,360) sin(4t)=ã3/2

• trig -

sin 4t = √3/2

you know sin 60° = √3/2, so 4t=60° or 120°

t=15° or t=30°

Now, to get all solutions in [0,360), add multiples of 2pi/4 = 90°:

t = 15° + 90n° = 15,105,195,285
t = 30° + 90n° = 30,120,210,300

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