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:

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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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