3.02 Graphing Trigonometric Functions

What is the value of cos (sin^-1(-0.732))

0.681

What is the value of cos(sin^−1(−0.435))?

0.900

What is the value of cos^−1(−1/2)?

2π/3

What is the value of cos^−1(-√3/2)?

5π/6

What are the key characteristics of the graph of f(x)=cotx? Select all correct statements.

Asymptotes occurs every π, beginning at x = 0. The x-intercepts occur every π, with one x-intercept at (π/2,0)

How is the domain of a trigonometric function restricted so that its inverse function is defined? Drag a phrase or interval into each box to correctly complete the statements. The graph of f(x)=tanx passes the ________. Therefore, a domain restriction must be placed on the function for the inverse function to be defined. The domain restriction placed on f(x)=tanx is _________ so that its inverse function is defined.

Is not one to one (-π/2, π/2)

How is the domain of a trigonometric function restricted so that its inverse function is defined? Drag a phrase or interval into each box to correctly complete the statements. The graph of f(x)=sinx _______. Therefore, a domain restriction must be placed on the function for the inverse function to be defined. The domain restriction placed on f(x)=sinx is_______so that its inverse function is defined.

Is not one to one [ - π/2, π/2]

What are the key characteristics of the graph of f(x)=secx? Select all correct statements.

The range of the function is (−∞, −1]∪[1, ∞). The y-intercept is (0,1).

Are the trigonometric functions odd, even, or neither odd nor even? Select answers from the drop-down menus to correctly complete the statements. The function f(x)=cosx is _______. The function f(x)=cscx is _________.

cos x is EVEN csc x is ODD

Which graph shows the function f(x)=cotx?

separate curvy lines going through -π/2 π/2 3π/2 5π/2

Are the trigonometric functions odd, even, or neither odd nor even? Select answers from the drop-down menus to correctly complete the statements. The function f(x)=tanx is ________. The function f(x)=secx is _______.

tan x is ODD sec x is EVEN

Which graph shows the function f(x)=cosx?

the graph with the on of the highest points going through ( 0, -1)