SOHCAHTOA Homework

Last updated about 5 years ago
18 questions
Note from the author:
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.
1

Match the trig function with its corresponding ratio.

Draggable itemCorresponding Item
sine
\frac{opposite}{hypotenuse}
cosine
\frac{adjacent}{hypotenuse}
tangent
\frac{opposite}{adjacent}
1

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.
1

\sin48^{\circ}

1

\tan3^{\circ}

1

\cos88^{\circ}

Find the exact values (simplified and rationalized as needed) of each trigonometric function.
1

\cos(A)

1

\sin(B)

1

\tan(D)=

1

\cos(F)=

1

\sin(I)=

1

\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.)
1

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

1

\tan(J)=3

Find the measure of the angle given the following information. Make sure to round to three decimal places:
1

\tan(\theta)=.5

1

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

1

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

1

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

1

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