Use a right triangle to write csc(arccos(3*x/2)) as an expression of x that does not involve trig or inverse trig functions.

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter10: Exponential And Logarithmic Functions
Section10.1: Finding Composite And Inverse Functions
Problem 10.14TI: Verify the functions are inverse functions. f(x)=2x+6 and g(x)=x62.
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Use a right triangle to write csc(arccos(3*x/2)) as an expression of x that does not involve trig or inverse trig functions. 

Expert Solution
Step 1

Given:

The expression csc(arccos(3x/2))

Step 2

Let u=arcos(3x/2)

Then

Trigonometry homework question answer, step 2, image 1
Step 3

Sketch a right triangle with acute angle u

Trigonometry homework question answer, step 3, image 1
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