lerminal side of angle 180°-0 lies in the second quadrant. (b) What is the reference angle for the angle 180-67 (c) Use Steps (a) and (b) to conclude that sin(180° sin 0. A) = sin 0 is valid in the 62. Check that the identity sin(180° three cases 03D0°, 0% 390°, and 0 =180° Note: This exercise completes the verification of the iden- tity sin(180°- 0) = sin 0 for all 0 from 0° to 180e For Exercises 63 and 64, refer to the following figure B. 63. Express the area of AABP as a function of A 64. (a) Express the slope of PB as a function of 8. (b) Express the slope of PA as a function of 0. (c) Using the expressions obtained in parts (a) and (b), compute the product of the two slopes. (d) What can you conclude from your answer in part (c) As background for Exer logarithms in Sections 5.3 and 5.4. cises 65-70, you need to have studie 65. (a) Choose (at random) an angle 0 such that 0° < 0 < Then with this value of 0, use your calculator to ve that log10(sin² 0) = 2 log10(sin ). (b) For which values of 0 in the interval 0°
lerminal side of angle 180°-0 lies in the second quadrant. (b) What is the reference angle for the angle 180-67 (c) Use Steps (a) and (b) to conclude that sin(180° sin 0. A) = sin 0 is valid in the 62. Check that the identity sin(180° three cases 03D0°, 0% 390°, and 0 =180° Note: This exercise completes the verification of the iden- tity sin(180°- 0) = sin 0 for all 0 from 0° to 180e For Exercises 63 and 64, refer to the following figure B. 63. Express the area of AABP as a function of A 64. (a) Express the slope of PB as a function of 8. (b) Express the slope of PA as a function of 0. (c) Using the expressions obtained in parts (a) and (b), compute the product of the two slopes. (d) What can you conclude from your answer in part (c) As background for Exer logarithms in Sections 5.3 and 5.4. cises 65-70, you need to have studie 65. (a) Choose (at random) an angle 0 such that 0° < 0 < Then with this value of 0, use your calculator to ve that log10(sin² 0) = 2 log10(sin ). (b) For which values of 0 in the interval 0°
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Chapter6: Equations
Section6.1: Solving Trigonometric Equations
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Question
Number 63
Transcribed Image Text:lerminal side of
angle 180°-0 lies in the second quadrant.
(b) What is the reference angle for the angle 180-67
(c) Use Steps (a) and (b) to conclude that
sin(180°
sin 0.
A) = sin 0 is valid in the
62. Check that the identity sin(180°
three cases 03D0°, 0%
390°, and 0 =180°
Note: This exercise completes the verification of the iden-
tity sin(180°- 0) = sin 0 for all 0 from 0° to 180e
For Exercises 63 and 64, refer to the following figure
B.
Transcribed Image Text:63. Express the area of AABP as a function of A
64. (a) Express the slope of PB as a function of 8.
(b) Express the slope of PA as a function of 0.
(c) Using the expressions obtained in parts (a) and (b),
compute the product of the two slopes.
(d) What can you conclude from your answer in part (c)
As background for Exer
logarithms in Sections 5.3 and 5.4.
cises 65-70, you need to have studie
65. (a) Choose (at random) an angle 0 such that 0° < 0 <
Then with this value of 0, use your calculator to ve
that log10(sin² 0) = 2 log10(sin ).
(b) For which values of 0 in the interval 0° <o <18&
(n) yalid?
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