Enroll in one of our FREE online STEM bootcamps. Join today and start acing your classes!View Bootcamps

University of California, Berkeley

Problem 1
Problem 2
Problem 3
Problem 4
Problem 5
Problem 6
Problem 7
Problem 8
Problem 9
Problem 10
Problem 11
Problem 12
Problem 13
Problem 14
Problem 15
Problem 16
Problem 17
Problem 18
Problem 19
Problem 20
Problem 21
Problem 22
Problem 23
Problem 24
Problem 25
Problem 26
Problem 27
Problem 28
Problem 29
Problem 30
Problem 31
Problem 32
Problem 33
Problem 34
Problem 35
Problem 36
Problem 37
Problem 38
Problem 39
Problem 40
Problem 41
Problem 42
Problem 43
Problem 44
Problem 45
Problem 46
Problem 47
Problem 48
Problem 49
Problem 50
Problem 51
Problem 52
Problem 53
Problem 54
Problem 55
Problem 56
Problem 57
Problem 58
Problem 59
Problem 60
Problem 61
Problem 62
Problem 63
Problem 64
Problem 65
Problem 66
Problem 67
Problem 68
Problem 69
Problem 70
Problem 71
Problem 72
Problem 73
Problem 74
Problem 75
Problem 76
Problem 77
Problem 78
Problem 79
Problem 80

Problem 33

Solving a Trigonometric Equation In Exercises $31-34$ , find two solutions of each equation. Give your answers in radians $(0 \leq \theta \leq 2 \pi) .$ Do not use a calculator.

$$\begin{array}{l}{\text { (a) } \tan \theta=1} \\ {\text { (b) } \cot \theta=-\sqrt{3}}\end{array}$$

Answer

(a) $\theta=\frac{\pi}{4}$ or $\frac{5 \pi}{4}$

(b) $\theta=\frac{5 \pi}{6}$ or $\frac{11 \pi}{6}$

You must be logged in to like a video.

You must be logged in to bookmark a video.

## Discussion

## Video Transcript

okay, So far apart they were given the tangent of data is equal to one. Well, that means our opposite. It and our Jason sides are equal. Well, when is this positive brought up? When the variable for opposites and our case, insides are both one or when they're both negative. So then we either have It's being pyre before or five. I owe for now for part B. When it's Cho attended a beta equal to square root of three. Well, Coach, hand innovator is equal to one over tendency potato, which is equal tube and all right adjacent over opposite side being equal to the square root of three. But I mean, that tended Evita because the opposite over adjacent, which is equal to one over and they look square would agree The one of the, um well, that means there are opposite side could be positive. Just give us, and then our distance. I would have to be negative, so that would give me negative adjacent side and then positive opposite side. That would give me Let's see, however, six mm. By firing six. Yeah, that would give me five every six. Or that would mean that our opposite side is negative and in our days, inside is positive. So what we've been quoted for, which would give me a love and pie over six.