Question

2. Determine the amplitude of:
y= cos x

3. Determine the domain of:
y= 4 sin x

4. Determine the range of:
y= - sin x

5. Determine the period of:
y= 3 sin ðx


6. Determine the phase shift of:
y= 3 cos (2x -1)

7. Solve the following equation for indicated value of x:
y= 4 sin x; for x = ð

8. Solve the following equation for the indicated value of x
y= - cos x ; for x= 4ð

Answer 1

Most of these questions can be answered by the definition of the general trigonometric functions:
y = a sin A(x-φ)
a is the amplitude
2π/A = period
φ = phase shift.

If you can transform the trigonometric functions into the above form and evaluate the values of a, A, and φ, the answers would become apparent.