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.
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
1 answer