Question

2. a) If the sine of an angle in standard form with a terminal arm in quadrant two equals 5/13, what is the tangent of the angle? b) What is the reference angle? c) What is the size of another angle in standard form that will have an equal tangent?

Name: 2. a) If the sine of an angle in standard form with a terminal arm in quadrant two equals 5/13, what is the tangent of the angle? b) What is the reference angle? c) What is the size of another angle in standard form that will have an equal tangent?
Uploaded: 2022-04-18T21:21:00-08:00
Duration: 1 min 58 s
Channel: Teresa Fuston
Description: 2. a) If the sine of an angle in standard form with a terminal arm in quadrant two equals 5/13, what is the tangent of the angle? b) What is the reference angle? c) What is the size of another angle in standard form that will have an equal tangent?

          2. a) If the sine of an angle in standard form with a terminal arm in quadrant two equals 5/13, what is the tangent of the angle? b) What is the reference angle? c) What is the size of another angle in standard form that will have an equal tangent?

2. a) If the sine of an angle in standard form with a terminal arm in quadrant two equals 5/13, what is the tangent of the angle? b) What is the reference angle? c) What is the size of another angle in standard form that will have an equal tangent?

Added by Rachel B.

Precalculus with Limits

Ron Larson 2nd Edition

Instant Answer

Solved by Expert Teresa Fuston

04/18/2022

Step 1

Let's assume the opposite side is 3x and the hypotenuse is 5x. Using the Pythagorean theorem, we can find the adjacent side: \[ (3x)^2 + (adjacent)^2 = (5x)^2 \] \[ 9x^2 + (adjacent)^2 = 25x^2 \] \[ (adjacent)^2 = 16x^2 \] \[ adjacent = 4x \] ** Show more…

Show all steps

Thanks for your feedback!

a) If the sine of an angle in standard form with a terminal arm in quadrant two is equal to 3, what is the tangent of the angle? b) What is the reference angle? What is the size of another angle in standard form that will have an equal tangent?