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This is an exam for math 115 course, which covers various topics in mathematics including logarithms, trigonometry, and inverse trigonometric functions. The exam consists of 8 questions and is worth 50 points.
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2 4 x
y
(b) (4pts) Find a function D(t) that models the number of daylight hours t days after January 1.
arccos
(√ 16 − x 2 4
(a) (4pts) Using a right triangle, simplify the function f (x).
(b) (3pts) State the domain of f.
(b) (2pts) Find all real solutions to this equation.
(d) (4pts) Define an inverse function for the tangent function.
(e) (2pts) Evaluate arctan √3.