Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.2: Trigonometric Functions Of Angles
Problem 4E
Related questions
Question
![15
Find the exact value of the trigonometric expression given that sin(u) = -
where 37/2 <u< 27, and cos(v) =
17
where 0 < v < T/2.
csc(u - v)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fef615d55-0aa8-495d-8e27-8400bcbbee1a%2Fec95c684-0443-4755-8a6c-ee409ef6ad1a%2Fccyjep_processed.png&w=3840&q=75)
Transcribed Image Text:15
Find the exact value of the trigonometric expression given that sin(u) = -
where 37/2 <u< 27, and cos(v) =
17
where 0 < v < T/2.
csc(u - v)
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
Step 1
given:
where
where
we have to find the exact value of the trigonometric expression csc(u-v)
Step 2
, therefore
as we know that:
therefore,
therefore,
perpendicular=3 and hypotenuse=5
Step 3
as we know that:
therefore,
now as we know that:
Step 4
therefore,
as , that implies u lies in fourth quadrant.
as we know that in fourth quadrant cosine and secant trigonometric functions have positive values and rest of the trigonometric functions have negative values.
therefore,
as we have therefore,
as u lies in fourth quadrant.
Step 5
now,
, therefore
as we know that:
therefore,
therefore,
base=15 and hypotenuse=17
Step by step
Solved in 9 steps
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