Sue Pemberton Solutions for Chapter: Trigonometry, Exercise 2: EXERCISE 5B

For each of the following diagrams, find the basic angle of $\theta$.

For each of the following diagrams, find the basic angle of $\theta$.

You are given the basic angle, $b$, the quadrant in which $\theta$ lies and the range in which $\theta$ lies. Find the value of $\theta$.

$b=55°, \text{second quadrant} 0°<\theta <360°$

You are given the basic angle, $b$, the quadrant in which $\theta$ lies and the range in which $\theta$ lies. Find the value of $\theta$.

$b=20°, \text{third quadrant} -180°<\theta <0°$

You are given the basic angle, $b$, the quadrant in which $\theta$ lies and the range in which $\theta$ lies. Find the value of $\theta$.

$b=32°, \text{fourth quadrant} 360°<\theta <720°$

You are given the basic angle, $b$, the quadrant in which $\theta$ lies and the range in which $\theta$ lies. Find the value of $\theta$.

$b=\frac{\mathrm{\pi }}{4}, \text{third quadrant} 0<\theta <2\mathrm{\pi }$

You are given the basic angle, $b$, the quadrant in which $\theta$ lies and the range in which $\theta$ lies. Find the value of $\theta$.

$b=\frac{\mathrm{\pi }}{3}, \text{second quadrant} 2\mathrm{\pi }<\theta <4\mathrm{\pi }$

You are given the basic angle, $b$, the quadrant in which $\theta$ lies and the range in which $\theta$ lies. Find the value of $\theta$.

$b=\frac{\mathrm{\pi }}{6}, \text{fourth quadrant} -4\mathrm{\pi }<\theta <-2\mathrm{\pi }$