Assessment: Trigonometric Functions and Their Graphs

Find sin(π/2).

Find cos(π).

Find tan(π/4).

Find the amplitude of y = 7sin(3x).

Find sec(π/3).

Find the minimum value of y = −cos(x) + 3.

An engineer knows the sine of an unknown angle from a triangle's side ratios and needs the actual angle itself. Which function do they need?

A navigator knows the ratio of a ship's northward and eastward speed components and needs the actual heading angle. Which inverse function is most directly useful here?

Find f'(π/2) for f(x)=sinx+cosx.

Find the derivative of f(x)=cot(x) at x=π/2.