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

## Answer This Question

## Related Questions

- MathsSs triG - Consider sin(x-360)sin(90-x)tan(-x)/cos(90+x) 1.A.SIMPLIFY sin(x-...
- trig - find all solutions of 2sinx=1-cosx in the interval from 0 to 360
- trig - Find all the solutions of 2 sinx=1-cosx in the interval from 0 ≤x&...
- trig - Find all solutions in the interval [0,2pi]. sin 2x + sin x = 0
- Trig - Solve each equation for exact solutions over the interval [0,360)where ...
- Math Trig - Find all solutions on the interval [0,2pi] for the following: 2sin^2...
- solving trig. equations - tan(3x) + 1 = sec(3x) Thanks, pretend 3x equals x so ...
- trig - i nead to find to the nearest degree all values of theta in the interval ...
- Math - We can find the solutions of sin x = 0.6 algebraically. (Round your ...
- Trig - Find all solutions w between 0 and 360, inclusive: (a) cosw = cos(−...

More Related Questions