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Question 2 Simplify each expression below. Your answer should no longer contain any trigonometric or in- verse trigonometric functions. (a) sin(arccos(r1/3)) (b) cos (arcsin (1 - ¹)) Hint: cos(n + m) = cos n cos m - sin n sin m (c) sin(arctan(|c| − 1)) (d) cos (3 arcsin (2*))

Question 2 Simplify each expression below. Your answer should no longer contain any trigonometric or in- verse trigonometric functions. (a) sin(arccos(r1/3)) (b) cos (arcsin (1 - ¹)) Hint: cos(n + m) = cos n cos m - sin n sin m (c) sin(arctan(|c| − 1)) (d) cos (3 arcsin (2*))

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 35E
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Solution to question 2 please
Question 1 Sketch the graph of f(x); do not forget to keep some sense of a scale and to identify any asymp- totes. State the domain and range. f(x) = Let 1 x + 1 1 |x 1| 3 find f-¹(x) and the range of f(x). 1 x f(x) 3+2 , x≤ 0 , x = −1 , 0<x<3 5 , x = 3 Question 2 Simplify each expression below. Your answer should no longer contain any trigonometric or in- verse trigonometric functions. (a) sin(arccos(z1/3)) (b) cos (arcsin (1 - ¹)) Hint: cos(n + m) = cos n cos m - sin n sin m Question 3 3 < x <7 , x ≥ 7 (c) sin(arctan(|r| − 1)) (d) cos (3 arcsin (2)) √3x +5 1+√3x + 5¹
Transcribed Image Text:Question 1 Sketch the graph of f(x); do not forget to keep some sense of a scale and to identify any asymp- totes. State the domain and range. f(x) = Let 1 x + 1 1 |x 1| 3 find f-¹(x) and the range of f(x). 1 x f(x) 3+2 , x≤ 0 , x = −1 , 0<x<3 5 , x = 3 Question 2 Simplify each expression below. Your answer should no longer contain any trigonometric or in- verse trigonometric functions. (a) sin(arccos(z1/3)) (b) cos (arcsin (1 - ¹)) Hint: cos(n + m) = cos n cos m - sin n sin m Question 3 3 < x <7 , x ≥ 7 (c) sin(arctan(|r| − 1)) (d) cos (3 arcsin (2)) √3x +5 1+√3x + 5¹
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