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SOHCAHTOA Homework

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Last updated over 5 years ago
18 questions
Note from the author:
This is an introductory homework for SOHCAHTOA, including how to do inverses.
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Make sure to, if needed, do work on an extra piece of paper, and then you can upload your work to MYGREENHILL.
Question 1
1.

Match the trig function with its corresponding ratio.

Draggable itemarrow_right_altCorresponding Item
cosine
arrow_right_alt
\frac{opposite}{hypotenuse}
tangent
arrow_right_alt
\frac{adjacent}{hypotenuse}
sine
arrow_right_alt
\frac{opposite}{adjacent}
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.
Question 3
3.

\sin48^{\circ}

Question 4
4.

\tan3^{\circ}

Question 5
5.

\cos88^{\circ}

Find the exact values (simplified and rationalized as needed) of each trigonometric function.
Question 6
6.

\cos(A)

Question 7
7.

\sin(B)

Question 8
8.

\tan(D)=

Question 9
9.

\cos(F)=

Question 10
10.

\sin(I)=

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.)
Question 12
12.

\sin(A)=\frac{2}{3}

Question 13
13.

\tan(J)=3

Find the measure of the angle given the following information. Make sure to round to three decimal places:
Question 14
14.

\tan(\theta)=.5

Question 15
15.

\cos(\theta)=\frac{4}{7}

Question 16
16.

Set up a ratio, put in calculator ready mode and then solve:

Question 17
17.

Set up a ratio, put in calculator ready mode and then solve:

Question 18
18.

Set up a ratio, put in calculator ready mode and then solve: