Find the exact value of the expressions cos(a + ẞ), sin(a + ẞ) and tan(a + ẞ) under the following conditions: 12 4 sin(x)=13, a lies in quadrant I, and sin(B) = 5. ẞ lies in quadrant II. 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(x+ẞ) = ☐ (Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression.) c. tan(x+3)= (Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 68E
icon
Related questions
Question
Find the exact value of the expressions cos(a +ẞ), sin(a + ẞ) and tan(x+ẞ) under the following conditions:
sin(x)=
12
13'
4
a lies in quadrant I, and sin(ẞ) = 5. ẞ lies in quadrant II.
a. cos(x+B)=
(Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression.)
b. sin(x+B)=
(Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression.)
c. tan(x+ẞ) =
(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 +ẞ), sin(a + ẞ) and tan(x+ẞ) under the following conditions: sin(x)= 12 13' 4 a lies in quadrant I, and sin(ẞ) = 5. ẞ lies in quadrant II. a. cos(x+B)= (Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression.) b. sin(x+B)= (Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression.) c. tan(x+ẞ) = (Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression.)
Expert Solution
steps

Step by step

Solved in 6 steps with 6 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning