- #1

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## Homework Statement

(sin 20° / cos 380°) + tan 200°

## Homework Equations

tan = sin / cos

## The Attempt at a Solution

Ok so.. I know tan = sin / cos. How do I convert sin 20° / cos 380° into tan? What should I do with the numbers? Thanks

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- Thread starter CrossFit415
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- #1

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(sin 20° / cos 380°) + tan 200°

tan = sin / cos

Ok so.. I know tan = sin / cos. How do I convert sin 20° / cos 380° into tan? What should I do with the numbers? Thanks

- #2

tiny-tim

Science Advisor

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Trig tables only go up to 90°

… so they want you to convert all the angles to ≤ 90° !

- #3

HallsofIvy

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CrossFit415, what, exactly are you asked to do? If just find the value of that, why change anything, why not just put the numbers into a calculator? (Being sure it is in degree mode, of course.

(Yes, I see that 380= 360+ 20 but I don't see that that helps.)

- #4

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Yea but I can't use a calculator. I just wanted to know how to manually convert them. Thanks

- #5

eumyang

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OP: you were told in one of your other threads what to do with coterminal angles. From what HallsofIvy post, you can see that

[tex]\frac{\sin 20^{\circ}}{\cos 380^{\circ}} + \tan 200^{\circ}[/tex]

[tex]= \frac{\sin 20^{\circ}}{\cos 20^{\circ}} + \tan 200^{\circ}[/tex]

Also, what can you do with tan 200°? (Hint: it's not the same as what can be done with sine and cosine, because the period of tangent is different.)

- #6

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What is the reference angle for 380 degrees? Think how that relates to the sin of 20 degrees and tan.

The value for tan should pop out at you!

Edit: Then think about what the reference angle for 200 degrees is.

The value for tan should pop out at you!

Edit: Then think about what the reference angle for 200 degrees is.

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