13.3 Trig Values of General Angles Warm Up: Clock angle...
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A2 13.3 Notes.notebook 1 May 10, 2013 May 63:12 PM 13.3 Trig Values of General Angles Warm Up: Clock angle worksheet May 712:00 PM
Transcript of 13.3 Trig Values of General Angles Warm Up: Clock angle...
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13.3 Trig Values of General Angles
Warm Up: Clock angle worksheet
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(4, 3)
Finding trig values when given a point on the terminal side
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Finding trig values given a point on the terminal sideExample: Find the value of the six trig ratios of Θ if (8, 15) lies on the terminal side .
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Find the value of the six trig ratios for = 90
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Back to special right triangles
45
45
* These can be used to find exact values of the trig ratios
sin = _________________ 45
cos = _________________45
tan = _________________ 45
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30
60
The other special right triangle
sin = ______________ 30
cos = ______________30
tan = ______________ 30
Warm Up
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Common Angle Radian Equivalent 304560
sin θ cos θ tan θ
Summary of "Special" Angles
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Assignment (Day 1): Part I Find the exact values for sin, cos, and tan of 60
Part II Page 782 # 14 18
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To find the trig ratios of ANY angle: We use a reference angle.
Example: Find sin 390
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Reference Angles
* The trig ratios of θ are the same as the values for the reference angle (θ'), except for possibly positive/negative.
* The reference angle is usually 30, 45, or 60 .
* The reference angle for θ is denoted θ'.
* The reference angle is always the acute angle formed by the terminal side and the x axis.
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Trig values by quadrantRecallsin =
cos =
tan =
y
x
r
y
xr
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Find the exact value of tan 135
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Find the exact value of sec 7π3
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Assignment: Page 782 #2225* Draw angle (or a coterminal angle)
* Find the reference angle
* Find the trig value of that angle
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Quadrantal Angles
(x, y)r
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Suppose Θ is an angle in standard position. The terminal side is in Quadrant III and csc Θ = .53Find the remaining 5 trig ratios of Θ.
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