REVIEW Reference angle.

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Presentation transcript:

REVIEW Reference angle

What is the value of theta based on the given point.

Page 2 16 SOH-CAH-TOA 15 x

Quadrantal angles: A quadrantal angle is any angle that separates the quadrants. A non-quadrantal angle is any angle that falls in a quadrant. Non-Quadrantal Quadrantal What are some other quadrantal angles?

Page 5 REMEMBER

S A T C Chart to remember the sign of the functions in each quadrant: What the letters stand for: A – All functions are positive in quadrant I S – Sin is only function positive in quadrant II T – Tan is only function positive in quadrant III C – Cos is only function positive in quadrant IV T C Students All Take Calculus

EXACT VALUE CHART Simplified Chart

Applications of reference angles: Express as a function of a positive acute angle: Step: Start by drawing the given angle Find the reference angle Rewrite the function using reference angle Determine SIGN of function in quadrant were it was drawn What is tan in quadrant II? S A T C

Applications of reference angles: Step: Start by drawing the given angle Find the reference angle Rewrite the function using reference angle Determine SIGN of function in quadrant where it was drawn Now find exact value using exact value chart Find the exact value of each expression: Reference angle Since cos is negative in quadrant II, then the exact value is negative as well Cos in quad II is negative

Reciprocal functions secant, cosecant, cotangent Secant is the reciprocal of cosine. Reciprocal means to flip the ratio. Cosecant is the reciprocal of sine. Reciprocal means to flip the ratio. Cotangent is the reciprocal of tangent. Reciprocal means to flip the ratio.

Find the exact value of each expression: