5.1 SOHCAHTOA: Trigonometric Functions and Representations (Bartels M3H)

Last updated about 1 year ago

14 questions

Instructions

SOHCAHTOA - Introduction

Example 1:

Example 2:

Example 3:

Example 4:

Example 5:

5.1 SOHCAHTOA: Trigonometric Functions and Representations (Bartels M3H)

Last updated about 1 year ago

14 questions

Instructions

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

What is SOHCAHTOA and what is it used for?

Example 1:

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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:

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:

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

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

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

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)

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)

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:

Round to 2 decimal places if possible

Round to 2 decimal places if possible
tan B = 0.6249

Round to 2 decimal places if possible

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

Example 5:

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!

5.1 SOHCAHTOA: Trigonometric Functions and Representations (Bartels M3H)

5.1 SOHCAHTOA: Trigonometric Functions and Representations (Bartels M3H)

What is SOHCAHTOA and what is it used for?

Try on your own!Find cot(θ) if sec(θ)=2Hint: make the 2 a fraction; for 2/1*you will have to rationalize the denominator for your final answer!

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

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

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

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)

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)

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)

Round to 2 decimal places if possible

Round to 2 decimal places if possibletan B = 0.6249

Round to 2 decimal places if possible

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

What is SOHCAHTOA and what is it used for?

Try on your own!Find cot(θ) if sec(θ)=2Hint: make the 2 a fraction; for 2/1*you will have to rationalize the denominator for your final answer!

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

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

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

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)

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)

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)

Round to 2 decimal places if possible

Round to 2 decimal places if possibletan B = 0.6249

Round to 2 decimal places if possible

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

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!

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

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

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

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)

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)

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)

Round to 2 decimal places if possible
tan B = 0.6249

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

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!

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

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

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

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)

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)

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)

Round to 2 decimal places if possible
tan B = 0.6249

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