Find Angle Given Trig Ratio Quadrants

Determine the measurement of the missing angle.

Hint: Use inverse trig functions + input ratio in calculator

• 90º

• 37°

• 36°

• 10º

In which two quadrants is inverse sine defined?

• Quadrant I

• Quadrant II

• Quadrant III

• Quadrant IV

Answer explanation

Remember, the range of inverse sine is restricted from -pi/2 to pi/2 (only Quadrants I and IV!)

In which two quadrants is inverse cosine defined?

• Quadrant I

• Quadrant II

• Quadrant III

• Quadrant IV

Answer explanation

Remember, the range of inverse cosine is restricted from [0, pi] (only Quadrants I and II!)

Choose the correct ratio.

• sin^-1(9/20)

• tan^-1(9/20)

• cos^-1(9/20)

• cos^-1(20/9)

The reference angle will be the same for both angles in the two quadrants. I need my other angle to be in quadrant 3 so when I draw that it looks like this.

For me to get a value in quadrant three, what should I do with that 54.068 reference angle?

• add 360

• subtract from 360

• add to 180

• subtract from 180

Q1. What is the total number of items?

• A) 210

• B) 190

• C) 200

• D) 215

In which quadrant would you find an angle measuring θ = -29π / 7

• 1

• 2

• 3

• 4

The terminal side of a 330° angle is in what Quadrant?

• Quadrant I

• Quadrant II

• Quadrant III

• Quadrant IV

In which quadrant would you find an angle measuring θ = -740°

• 1

• 2

• 3

• 4

If θ is an angle in standard position and r = √(x²+ y²), tan θ = __

• x/r

• y/r

• r/x

• y/x