Consider the following formulas. a sin Be + b cos Be=a2 + b2 sin(Be + C), where C = arctan(b/a) and a > 0 a sin Be + b cos Be = √2 + b2 cos(Be - C), where C = arctan(a/b) and b > 0 Use the formulas given above to write the trigonometric expression in the following forms. 8 sin 70 + 8 cos 70 (a) Va2 + b2 sin(Be + C) (b) √²+ b2 cos(B8 - C)
Consider the following formulas. a sin Be + b cos Be=a2 + b2 sin(Be + C), where C = arctan(b/a) and a > 0 a sin Be + b cos Be = √2 + b2 cos(Be - C), where C = arctan(a/b) and b > 0 Use the formulas given above to write the trigonometric expression in the following forms. 8 sin 70 + 8 cos 70 (a) Va2 + b2 sin(Be + C) (b) √²+ b2 cos(B8 - C)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.3: Trigonometric Functions Of Real Numbers
Problem 33E
Related questions
Question
![Consider
the following formulas.
a sin Be + b cos Be = √2 + b2 sin(Be + C), where C = arctan(b/a) and a > 0
a sin Be + b cos Be = √ a² + b² cos(B8 - C), where C = arctan(a/b) and b > 0
V
Use the formulas given above to write the trigonometric expression in the following forms.
8 sin 70 + 8 cos 70
(a)
√2 + b2 sin(Be + C)
(b)
√² + b2 cos(Be - C)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff2367e66-1ae4-4371-aa7b-db391deab840%2F2536cd43-e91e-4e47-ad29-439e7231f7ce%2F5dqd6cg_processed.png&w=3840&q=75)
Transcribed Image Text:Consider
the following formulas.
a sin Be + b cos Be = √2 + b2 sin(Be + C), where C = arctan(b/a) and a > 0
a sin Be + b cos Be = √ a² + b² cos(B8 - C), where C = arctan(a/b) and b > 0
V
Use the formulas given above to write the trigonometric expression in the following forms.
8 sin 70 + 8 cos 70
(a)
√2 + b2 sin(Be + C)
(b)
√² + b2 cos(Be - C)
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