Prove that 2 cosec 2Θ tanΘ= sec^2(Θ)
Hence: solve the equation 2 cosec 2Θ tanΘ = 5 for 0 < Θ < π

Which function is odd check all that apply a. y=sin x b. y=csc x c. y=cot x d. y=sec x

Which translation maps the vertex of the graph of the function f(x) = x2 onto the vertex of the function g(x) = x2 – 10x +2?

The table below represents the displacement of a fish from its reef as a function of time: time (hours) x displacement from reef (feet) y 0 4 1 64 2 124 3 184 4 244 part a: what is the y-intercept of the function, and what does this tell you about the fish? (4 points) part b: calculate the average rate of change of the function represented by the table between x = 1 to x = 3 hours, and tell what the average rate represents. (4 points) part c: what would be the domain of the function if the fish continued to swim at this rate until it traveled 724 feet from the reef? (2 points)