Question

Trigonometry question:
Solve the following equation for all radian solutions and if 0 ≤ t < 2π.
Give all answers as exact values in radians. (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.)
5 sin t + 8 = −3 sin t

*I think I'm doing it wrong.

How I tried to solve it:
-3 sin t = -8
sin t = 8/3

8/3 isn't in the trig unit circle.

Answer 1

Hmm I'm confused by your steps, the 5sin t disappeared somehow :o

Answer 2

So what you want to do is combine like terms (adding 3sin t to each side),\[\Large\rm 8\sin t+8=0\]Then isolate the sin t by doing a few algebra steps,

Answer 3

That makes a lot more sense.
(The video I watched to figure it out wasn't explained, just worked out.)
8 sin t + 8 = 0
8 sin t = -8
sin t = -8/8
So sin t = -1 and t = 3pi/2

Answer 4

yay good job \c:/

Answer 5

Thanks! :)