🎉 The Study-to-Win Winning Ticket number has been announced! Go to your Tickets dashboard to see if you won! 🎉View Winning Ticket

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 21

Evaluating Trigonometric Functions In Exerrises $21-24$ , evaluate the sine, cosine, and tangent of each angle. Do not use a calculator.

$$\begin{array}{lll}{\text { (a) } 60^{\circ}} & {\text { (b) } 120^{\circ}} & {\text { (c) } \frac{\pi}{4}} & {\text { (d) } \frac{5 \pi}{4}}\end{array}$$

Answer

See Solution

You must be logged in to bookmark a video.

...and 1,000,000 more!

OR

Join 5 million HS and College students

## Discussion

## Video Transcript

Okay, so we're giving 60 degrees gate drawing that out. Actually, there were 60 degrees. That means that our side are opposite side large it and are our Jason side. So this is gonna be clear and this will be one, and it's still based on that. Hey, toad and sign of data. First sign of 60 degrees is equal to opposite. Over. Coastline of 60 is equal to a Jason, which is one over two attendants of 60 is equal to opposite over descent Which one? Now, For part B, you have sign of 1 20 degrees, which is equal to square with a three over chip co sign of 1 20 degrees which is equal to native one over two tangents of 1 20 degrees that is equal to sign of 1 20 overcoats. Enter 1 20 which gives me where would it be? Over to overwhelm negative one over two, which is equal Teenagers crudity support. See, we have pyre report full power before that's 45 degrees. So I opposite and encased inside that safe. And I had bought me this girl with a chip The sign of data No people one over square root of two coastline data is equal to one over square root of two. That's what they date with fire before and tangent of data, is it? Look what? Okay. And now we have five pi over four. Well, 55 before we know four pies in quadrant one and five pie. That's almost six pi over four, which is three partridges. That's near record in three. We're just before quadrants. Four. Yeah. So we have five pi over four. We know that our opposite and our addition and with their things Mr Over four. So this is negative one. And this is a good one. Are my partner is a square with a chip. Okay, so sign of data opposite over my partner coast. I know. Data opposite or adjacent. Over. Hi, Panis and tangents. Bit up, which is upset over. I do that. Give me one

## Recommended Questions

Evaluating Trigonometric Functions In Exerrises $21-24$ , evaluate the sine, cosine, and tangent of each angle. Do not use a calculator.

$$\begin{array}{lll}{(a)-30^{\circ}} & {\text { (b) } 150^{\circ}} & {\text { (c) }-\frac{\pi}{6}} & {\text { (d) } \frac{\pi}{2}}\end{array}$$

Evaluating Trigonometric Functions In Exerrises $21-24$ , evaluate the sine, cosine, and tangent of each angle. Do not use a calculator.

$$\begin{array}{ll}{\text { (a) } 750^{\circ}} & {\text { (b) } 510^{\circ}} & {\text { (c) } \frac{10 \pi}{3}} & {\text { (d) } \frac{17 \pi}{3}}\end{array}$$

Evaluating Trigonometric Functions In Exerrises $21-24$ , evaluate the sine, cosine, and tangent of each angle. Do not use a calculator.

$$\begin{array}{ll}{\text { (a) } 225^{\circ}} & {\text { (b) }-225^{\circ}} & {\text { (c) } \frac{5 \pi}{3}} & {\text { (d) } \frac{11 \pi}{6}}\end{array}$$

Use properties of the trigonometric functions to find the exact value of each expression. Do not use a calculator.

$$\cot 20^{\circ}-\frac{\cos 20^{\circ}}{\sin 20^{\circ}}$$

Use properties of the trigonometric functions to find the exact value of each expression. Do not use a calculator.

$$\tan 200^{\circ} \cdot \cot 20^{\circ}$$

Evaluate the sine, cosine, and tangent of the angle without using a calculator.

$$-20 \pi / 3$$

Evaluate each trigonometric function without the use of a calculator.

$$\sin \left(\arccos \left(\frac{12}{13}\right)\right)$$

Evaluate each trigonometric function without the use of a calculator.

$$\cos \left(\arcsin \left(-\frac{12}{13}\right)\right)$$

Find the exact value of the expression. Use a graphing utility to verify your result. (Hint: Make a sketch of a right triangle.)

$\cos \left(\text { arcsin } \frac{24}{25}\right)$

First write each of the following as a trigonometric function of a single angle. Then evaluate.

$$\frac{\tan 20^{\circ}+\tan 32^{\circ}}{1-\tan 20^{\circ} \tan 32^{\circ}}$$