Find the exact value of the expressions cos(a + B), sin(a + B) and tan(a + B) under the following conditions: 40 15 B lies in quadrant II. sin(a) = a lies in quadrant I, and sin(B) : 41 17 a. cos(a + B) = (Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression.) b. sin(a + B) = (Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression.) c. tan(a + B) =O (Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression.)

Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter8: Complex Numbers And Polarcoordinates
Section8.4: Roots Of A Complex Number
Problem 42PS
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Find the exact value of the expressions
cos(a + B), sin(a + B) and tan(a + B) under the following conditions:
40
15
B lies in quadrant II.
sin(a) =
a lies in quadrant I, and sin(B) :
41
17
a. cos(a + B) =
(Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression.)
b. sin(a + B) =
(Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression.)
c. tan(a + B) =O
(Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression.)
Transcribed Image Text:Find the exact value of the expressions cos(a + B), sin(a + B) and tan(a + B) under the following conditions: 40 15 B lies in quadrant II. sin(a) = a lies in quadrant I, and sin(B) : 41 17 a. cos(a + B) = (Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression.) b. sin(a + B) = (Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression.) c. tan(a + B) =O (Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression.)
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