3.5

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1. Find the exact value of each expression. (Enter your answer in radians.)
(a) Arcsin(sqrt(3)/2)
(b) Arccos(sqrt(2)/2)
2. Find the exact value of each expression. (Enter your answer in radians.)
(a) Arctan(1)
(b) Arcsec(sqrt(2))
3. Find the exact value of each expression. (Enter your answer in radians.)
(a) Arctan(sqrt(3))
(b) Arcsin(1)
4. Find the exact value of each expression. (Enter your answer in radians.)
(a) Tan(arctan(4))
(b) Arcsin(sin(8pi/3))
5. Find the exact value of each expression. (Enter your answer in radians.)
(a) Tan(arcsec(6))
(b) Sin(2arcsin(5/13))
6. Simplify the expression. Tan(arcsin(x))
7. Simplify the expression. Sin(arctan(x))
8. Simplify the expression. Cos(2arctan(x))
9. Find the derivative of the function simplify where possible. Y = (arctan(2x))^2
10. Find the derivative of the function simplify where possible. Y = arcsin(6x + 1)
11. Find the derivative of the function simplify where possible. Y = 3arctan(x –sqrt(1+x^2))
12. Find the derivative of the function simplify where possible. G(x) = sqrt(1-289x^2) arcos 17x
13. Find the derivative of the function simplify where possible. F(theta) = arcsin sqrt(sin(9theta))
14. Find the limit. (if an answer does not exist, enter DNE.) lim x  infinify arctan(e^x)