Question

Solve the equation sin theta = 0.3 to the nearest tenth. Use the restrictions 90degrees < theta < 180degrees.

Answer 1

Basic angle = 14.46*

Sine is positive in first and second quadrant.
Hence,

Angle 1: Angle 2:
14.46 180-14.46

Answer 2

A)\[\theta=107.5\]

B)\[\theta=162.5\]

C)\[\theta=197.5\]

D)\[\theta=17.5\]

Answer 3

it must be b.
And it should be 165.5?

Answer 4

I dont know. The paper says 162.5

Answer 5

Oh right.
I did a typo.

Basic angle = 17.46*

Sine is positive in first and second quadrant.
Hence,

Angle 1: Angle 2:
17.46 180-17.46

Answer 6

And since the range is given, we will only consider angle 2.