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Maths Assignment: Inverse Functions

Maths Assignment: Inverse Functions

(1) What are the following values? sin(Ï/3), cos(2Ï/3), tan(5Ï/4), sin(5Ï/3), cos(9Ï/4), tan(3Ï/2)
 (2) Explain why sin^2(x) + cos^2(x) = 1 for any x. 
 (3) What are the domain and range of sin(x), cos(x) and tan(x)?  
(4) What are the inverse functions of the following? f(x) = (2x-3)/(-x+2), f(x) = (4x-1)^3 + 2  
(5) What are the following values? 16^(3/4), 9^(-3/2)

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