Posted by **Sierra** on Thursday, July 12, 2012 at 10:49am.

Find all solutions in the interval [0,360) sin(4t)=3/2

- trig -
**Steve**, Thursday, July 12, 2012 at 11:45am
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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