Question

Find, correct to 1 decimal place, the two smallest positive values of θ which satisfy each of the following equations.
(a) sin θ° = 0.1
(b) sin θ° = -0.84
(c) sin θ° = -0.951

Answer 1

The first equation is easiest to work with, because the sine is positive. Ask yourself: "In which quadrants is the sine positive?
How is the sine definited? It's the ratio of the _____ to the ________ .

Answer 2

first and second

Answer 3

I have zero idea on how to solve these sorts of problems. All I know is the unit circle, x is cosine, y is sine, and tangent is cosine over sine.

Answer 4

I mean sine over cosine

Answer 5

How do you find the material to study this topic? Do you have a textbook? Are concepts explained on some web site to which you have access?

Definitions of the sine, cosine and tangent functions are of critical importance in trig.

I will use Equation Editor (below) to define them symbolically.
Note that "opp" means opposite side, and that I will draw a triangle to illustrate this.

Answer 6

"adj" means "adjacent side."
"hyp" stands for "hypotenuse".

Answer 7

\[\sin \theta = \frac{ opp }{ hyp}; \cos \theta = \frac{ adj }{ hyp }; \tan \theta=\frac{ opp }{ adj}\]

Answer 8

See these definitions before?