2. The coordinates of a point on the terminal arm of an angle are given. Determine exact expressions for the primary trigonometric ratios for these angles. a) E(2, 3) c) G(-2, –7) b) F(-3, 5) d) H(7, -4)

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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BLM 4-5
2. The coordinates of a point on the terminal arm of
an angle are given. Determine exact expressions for
the primary trigonometric ratios for these angles.
a) E(2, 3)
c) G(-2, –7)
b) F(-3, 5)
d) H(7, –4)
3. One of the primary trigonometric ratios for an
angle is given, as well as the quadrant in which
cach angle is located. Find the other two
trigonometric ratios of the angle.
a) sin A =2, first quadrant
b) cos B =
,second quadrant
3
c) tan C =
, third quadrant
11
5
fourth quadrant
d) tan D
4. Determine two other angles that have the same
trigonometric ratios as each given angle.
a) sin 60°
c) tan 200°
b) cos 230°
d) sin 150°
5. Determine any three positive angles that are
co-terminal with 150°.
6. An obtuse angle 0 has the point B(-x, y) on its
terminal arm.
a) Express the length of line segment OB in terms
of x and y.
b) Write expressions for the primary trigonometric
ratios for the angle.
12
7. Consider ZF such that cos F =
37
a) Which quadrants can ZF be in?
b) Find the coordinates of a point on the terminal
arm of the angle in each quadrant.
c) If you are also told that the sine of the angle is
negative, in which quadrant is ZF?
d) Write the other primary trigonometric ratios for
ZF in the quadrant identified in part c.
Transcribed Image Text:BLM 4-5 2. The coordinates of a point on the terminal arm of an angle are given. Determine exact expressions for the primary trigonometric ratios for these angles. a) E(2, 3) c) G(-2, –7) b) F(-3, 5) d) H(7, –4) 3. One of the primary trigonometric ratios for an angle is given, as well as the quadrant in which cach angle is located. Find the other two trigonometric ratios of the angle. a) sin A =2, first quadrant b) cos B = ,second quadrant 3 c) tan C = , third quadrant 11 5 fourth quadrant d) tan D 4. Determine two other angles that have the same trigonometric ratios as each given angle. a) sin 60° c) tan 200° b) cos 230° d) sin 150° 5. Determine any three positive angles that are co-terminal with 150°. 6. An obtuse angle 0 has the point B(-x, y) on its terminal arm. a) Express the length of line segment OB in terms of x and y. b) Write expressions for the primary trigonometric ratios for the angle. 12 7. Consider ZF such that cos F = 37 a) Which quadrants can ZF be in? b) Find the coordinates of a point on the terminal arm of the angle in each quadrant. c) If you are also told that the sine of the angle is negative, in which quadrant is ZF? d) Write the other primary trigonometric ratios for ZF in the quadrant identified in part c.
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