This is an introductory homework for SOHCAHTOA, including how to do inverses.
Make sure to, if needed, do work on an extra piece of paper, and then you can upload your work to MYGREENHILL.
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Question 1
1.
Match the trig function with its corresponding ratio.
Draggable item
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Corresponding Item
sine
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\frac{opposite}{hypotenuse}
cosine
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\frac{adjacent}{hypotenuse}
tangent
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\frac{opposite}{adjacent}
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Question 2
2.
Using the triangle below, match each trig function with its appropriate ratio.
\frac{3}{4}
\frac{3}{5}
\frac{4}{5}
\frac{4}{3}
\sin(C)=
\cos(C)=
\tan(C)=
\sin(A)
Make sure to go into "MODE" on your calculator and check that it is in "DEGREE" mode.
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Question 3
3.
\sin48^{\circ}
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Question 4
4.
\tan3^{\circ}
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Question 5
5.
\cos88^{\circ}
Find the exact values (simplified and rationalized as needed) of each trigonometric function.
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Question 6
6.
\cos(A)
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Question 7
7.
\sin(B)
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Question 8
8.
\tan(D)=
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Question 9
9.
\cos(F)=
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Question 10
10.
\sin(I)=
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Question 11
11.
\tan(G)=
Given one trigonometric ratio, find the values of the other two ratios. (Hint: Draw a triangle and use the pythagorean theorem to find any missing sides.)
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Question 12
12.
\sin(A)=\frac{2}{3}
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Question 13
13.
\tan(J)=3
Find the measure of the angle given the following information. Make sure to round to three decimal places:
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Question 14
14.
\tan(\theta)=.5
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Question 15
15.
\cos(\theta)=\frac{4}{7}
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Question 16
16.
Set up a ratio, put in calculator ready mode and then solve:
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Question 17
17.
Set up a ratio, put in calculator ready mode and then solve:
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Question 18
18.
Set up a ratio, put in calculator ready mode and then solve: