1. ## Trig Equation

A solution set of the equation 5 sin(theta)+ 3 = 3 contains all multiples of

(a) 45 degrees

(b) 90 degrees

(c) 135 degrees

(d) 180 degrees

2. Originally Posted by magentarita
A solution set of the equation 5 sin(theta)+ 3 = 3 contains all multiples of

(a) 45 degrees

(b) 90 degrees

(c) 135 degrees

(d) 180 degrees
Well, first we have to isolate the $\displaystyle \sin {\theta}$

$\displaystyle 5 \sin {\theta} +3 = 3$
subtract 3 from both sides to get

$\displaystyle 5 \sin {\theta)=0$
divide both sides by 5

$\displaystyle \sin {\theta} = 0$

Now, for what $\displaystyle \theta$ does $\displaystyle \sin {\theta} = 0$? That is true at all multiples of 180 degrees so d is your answer.

3. ## ok..........

Originally Posted by caelum
Well, first we have to isolate the $\displaystyle \sin {\theta}$

$\displaystyle 5 \sin {\theta} +3 = 3$
subtract 3 from both sides to get

$\displaystyle 5 \sin {\theta)=0$
divide both sides by 5

$\displaystyle \sin {\theta} = 0$

Now, for what $\displaystyle \theta$ does $\displaystyle \sin {\theta} = 0$? That is true at all multiples of 180 degrees so d is your answer.
I did not realize that this question is really easy.