Question

Solve the trigonometric equation for t.

2 sin t-5=-4, for 0≤t≤2π

a) π/6, 5π/6
b) π/3, 2π/6
c) π/4, 3π/4
d) π/6, 7π/6

Please & thank you :)

Answer 1

Where are you running into trouble?

Answer 2

I have no idea where to start. This is an AP Calculus summer assignment but I don't remember this from precalc.

Answer 3

Basically all you're doing here is algebra. Do the opposite of each thing until you get to your variable on one side. The opposite of sine is arcsine.

Answer 4

2sint = 5-4

2sint = 1

sint = 1/2

For what values of t between 0 to 2pi, we have 1/2..

First value is 30 or pi/6

So, your answer is either A or D..

Now can you tell me what is the other value of t so that sint = 1/2???

Answer 5

I can't tell if that's a sin(t-5) or a sin(t)-5 though.

Answer 6

Yeah that's what I can't tell either. On the paper it says 2sin t - 5 = -4..

Answer 7

sin of 5Ï€/6 = 1/2 @waterineyes

Answer 8

Yes dear you are right sin150 or sin5pi/6 = 1/2...

Answer 9

So I chose A, correct?

Answer 10

Thanks to everyone who helped btw! :)

Answer 11

Welcome buddy...