Alg2 lesson 13-3
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This document contains examples of calculating trigonometric functions based on the position of points and angles. It discusses finding trig functions given a point (x,y), reference angles, the quadrants where trig functions are positive, and examples of calculating specific trig functions like sin, cos, and tan.
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Alg2 lesson 13-3
- 1. Find the exact values of the six trigonometricfunctions of if the terminal side of contains the point (8, –15).8-15r(8, -15)Example 3-1a
- 2. 8-1517
- 3. xyr(x, y)
- 4. (-3, 4)Find the exact values of the six trigonometricfunctions of if the terminal side of contains the point (–3, 4).54-3x = -3y = 4r = 5= 543Example 3-1b
- 5. Sketch 330. Then find its reference angle.330 = 180 + 150 = 180 + 90 + 60The reference angle is 360 –330 or 30.Example 3-3a
- 6. Sketch . Then find its reference angle.The reference angle is Example 3-3a
- 7. In which quadrants is each trig function positive?sinsinposALLcostanpos(pos, pos)(neg, pos)pos(pos, neg)(neg, neg)costanposposnegposnegr is always positive
- 8. Find the exact value of .135 = 90 + 45ASTCExample 3-4a
- 9. Find the exact value of .135 = 90 + 45posposExample 3-4a
- 10. Find the exact value of AS=TCExample 3-4a
- 11. Suppose is an angle in standard position whoseterminal side is in Quadrant III and Find the exact values of the remaining five Trigonometric functions of .hypopp-4-35Example 3-5a