Matt Wolf
|Learning Goals: |At the completion of the lesson, you will be able to… |
| |Rationalize a fraction with a square root in the denominator |
| |Use SOHCAHTOA to evaluate the six trigonometric functions |
| |Evaluate six trig. functions of common angles (30°, 45°, 60°) |
| |Draw right triangles corresponding to given initial conditions |
| |Apply reciprocal identities to evaluate six trig. functions |
[pic]
a) Calculate the value of x: x = __________ (Pythagorean Theorem)
b) Find the values of the six trigonometric functions (SOHCAHTOA):
Reciprocal Identities:
[pic]_____ [pic]_____ [pic] [pic]
[pic]_____ [pic]_____ [pic] [pic]
[pic]_____ [pic]_____ [pic] [pic]
(rationalize denominator)
c) Find the value of θ: θ = _____ (inverse trigonometry)
Inverse Trigonometric Functions: [pic] OR [pic]
[pic] OR [pic]
[pic] OR [pic]
Example:
-----------------------
Strategies
Pythagorean Theorem
SOHCAHTOA
Trigonometric Identities
Inverse Trigonometry
Knowledge/Skills
Rationalize Denominators
Simplifying Square Roots
30°, 45°, 60° Trick Table
Trigonometric Identities
| |30° |45° |60° |
|[pic] | | | |
|[pic] | | | |
|[pic] | | | |
Quotient Identities: [pic] [pic]
[pic]
d) Calculate the value of x: x = __________
e) Find the values of the six trigonometric functions.
f) Find the value of θ: θ = _____
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