1.4 - Trigonometric Functions of Any Angle. 2 Objectives Evaluate trigonometric functions of any angle. Use reference angles to evaluate trig functions.
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Slide 1
1.4 - Trigonometric Functions of Any Angle
Slide 2
2 Objectives Evaluate trigonometric functions of any angle. Use
reference angles to evaluate trig functions. Use trig identities to
evaluate trig functions Use trig models to solve real world
problems
Slide 3
3 Definitions of trigonometric functions Syr Cxr Tyx
Slide 4
Examples: 1) Let (-4, -3) be a point on the terminal side of .
Evaluate the six trigonometric functions of . 2) Let (-5, 12) be a
point on the terminal side of . Evaluate the six trigonometric
functions.
Slide 5
Example: Use the given point on the terminal side of an angle
in standard position. Evaluate the six trigonometric functions of .
1) (4, 5) 2)
Slide 6
6 Quadrant angles cos sin 0 /2 3/2 22 xy
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Quadrantal Angles Quadrantal angles- angles whose terminal side
of lies on an axis.
Slide 8
Quadrantal Angles (Continue)
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Examples: 1) Evaluate the six trigonometric functions of = 270.
2) Evaluate the six trigonometric functions of = 90.
Slide 10
10 Trigonometric function signs A ll S tudents T ake C alculus
Sin/csc Tan/cotCos/sec All 6 trig functions are positive in
quadrant 1