Question

Use a graphing calculator to solve the equation 3tan1/3theta=8 in the interval 0 to 2pi round your answers to the nearest hundredth

A. 1.21,4.35
B. 3.64
C. 1.21, 2.26, 3.31, 4.35, 5.40
D. .404, 1452.5, 3.55, 4.59, 5.64

Answer 1

B. 3.64 to the nearest hundredth.

Explanation:

3tan1/3theta=8

tan1/3theta = 8/3

1/3 theta = 1.212 radians, 1.212 + π radians.

theta = 1.212 * 3 = 3.636 radians, 3(1.212 + π) radians.

The second value is greater than 2π radians.