If hand written please do not write in cursive.
1. The formula for a function y=f(x) is f(x)=7x4, X is less than or equal to 0. Find the formula for f-1(x).
2. Evaluate the six trigonometric for each value of θ. Simplify your answers, including and radicals, Use intigers or fractions for any numbers in the expressions. Write N if the function is undefined. Do not use a calculator or tables.
Find sin θ, cos θ, tan θ, cot θ, sec θ, and csc θ for each of the following θ values: -π, -2π/3, 0, π/3, 3π/4
***detailed work on 2 would be very appreciated because I am at a loss how to do it without the aid of a calculator or table.***
3. Express the area and perimeter of an equilateral triangle as a function of the triangle's side length x. Use exact answers, using radicals as needed.
4. On a circle of radius 5km, how long is the arc that subtends a central angle of 30 degrees? Use an exact answer, using the pir symbol as needed.
5. Graph the following and determine from the graph if the function is one-to-one.
f(x)= 8 + x, when x is greater than or equal to 0
f(x)= 8, when x is less than 0
**It is supposed to be a single graph but I can't think of another way to type it up.**
6. Graph the function in the ts-plane (t-axis horizontal, s-axis vertical). What is the period of the function(use and exact answer, using π as needed)? What symmetry does the graph have?
s= -sec( (π)(t)/2 )
7. Graph y^2=x^2 and explain why the graph is not a function.
8. Determine the period and amplitude of the function y=sin 6x then graph it.