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5.1 SOHCAHTOA: Trigonometric Functions and Representations (Bartels M3H)

Last updated 10 months ago
14 questions
Please grab a packet at the front of the classroom. Fill in the notes for 5.1 and work through this lesson for 5.1. If you get stuck feel free to ask your peers for help. This will be put in the grade book for participation in today's lesson.

Objective(s):
• I can use basic right triangle trigonometry to find missing lengths and angles.
SOHCAHTOA - Introduction
1

What is SOHCAHTOA and what is it used for?

Example 1:
Click play to watch me walk through the problem, or just fast forward to the end if you'd like to see it all together!
6
Try on your own!

Find all 6 trigonometric ratios for ∠θ an in each of the triangles below. Write each answer as a reduced and rationalized fraction.
sin(θ)=_______
cos(θ)=_______
tan(θ)=_______
csc(θ)=_______
sec(θ)=_______
cot(θ)=_______
Example 2:
1

Try on your own!

Find cot(θ) if sec(θ)=2

Hint: make the 2 a fraction; for 2/1
*you will have to rationalize the denominator for your final answer!

Example 3:
1

ROUND TO 4 DECIMAL PLACES!
sin(15\degree)=

1

ROUND TO 4 DECIMAL PLACES!
cos(40\degree)=

1

ROUND TO 4 DECIMAL PLACES!
tan(50\degree)=

1

ROUND TO 4 DECIMAL PLACES!
csc(20\degree)=

This is not in the calculator; you have to use the reciprocal and do 1/sin(20)

1

ROUND TO 4 DECIMAL PLACES!
sec(60\degree)=

This is not in the calculator; you have to use the reciprocal and do 1/cos(60)

1

ROUND TO 4 DECIMAL PLACES!
cot(80\degree)=

This is not in the calculator; you have to use the reciprocal and do 1/tan(80)

Example 4:
1

Round to 2 decimal places if possible

1

Round to 2 decimal places if possible
tan B = 0.6249

1

Round to 2 decimal places if possible

1

round to 2 decimal places, if possible:
cot C = 0.1405

Example 5:
3
Solve for triangle ABC



AC=_______
* hint use pythagorean theorem; keep as a square root

m\angle{A}=_______
*hint use tan^{-1} ; and round to 2 decimal places

m\angle{C}=_______
*hint a triangle adds to 180\degree; and round to 2 decimal places
If you have any questions I can answer them tomorrow! Completed notes are in my calendar! HAVE A GREAT WEEKEND!