Functions & Applications (MCF3M) · Trigonometric Functions

Evaluate a sine function model

Evaluate a sine function h(x) = a*sin(x) + d0 at a given angle to model a real periodic scenario. Unlimited questions, five difficulty levels, and a full worked solution every time — free.

Practice this skill Curriculum: MCF3M-TF2, MCF3M-TF3

Try one

A wave machine at a pool models the height of the water surface above the resting level, in cm (negative means below the resting level), after the paddle has turned x degrees. Find the height when x = 330deg.

h(x) = 8·sin(x) + 2

Answer: -2

See one solved, step by step

A wave machine at a pool models the height of the water surface above the resting level, in cm (negative means below the resting level), after the paddle has turned x degrees. Find the height when x = 360deg.

h(x) = 6·sin(x) + 2
📘 Worked solution
1h(360) = 6·sin(360deg) + 2Substitute the given angle into the equation.
2sin(360deg) = 0Evaluate the sine ratio (calculator in degree mode).
3= 6 · 0 + 2 = 2Multiply, then add the vertical shift.
4Height: 2 cmThat's the water surface height at that point in the rotation.

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