Homework

Problem 1 · easy

Convert 150° to radians.

Problem 2 · easy

Convert 7π/4 to degrees.

Problem 3 · easy

Convert 240° to radians.

Problem 4 · easy

Find sin(π/3) and cos(π/3) from the unit circle.

Problem 5 · medium

Find sin(3π/4) using the unit circle.

Problem 6 · medium

Find cos(5π/6).

Problem 7 · easy

Find tan(π/4).

Problem 8 · easy

Find sin(-π/6).

Problem 9 · easy

Find cos(-π/3).

Problem 10 · easy

For y = 4*sin(x), state amplitude and period.

Problem 11 · easy

For y = sin(3x), state amplitude and period.

Problem 12 · medium

For y = -2*sin(πx), state amplitude and period.

Problem 13 · medium

For y = cos(x - π/2), describe the transformation.

Problem 14 · medium

For y = 3*sin(2x) - 1, state: amplitude, period, midline, and range.

Problem 15 · medium

Find the phase shift of y = sin(x + π/4).

Problem 16 · easy

Sketch the key points for y = cos(x) on [0, 2π].

Problem 17 · medium

For y = tan(x), identify all vertical asymptotes on [-2π, 2π].

Problem 18 · medium

Find sin(7π/6).

Problem 19 · medium

Find a coterminal angle for 15π/4 that is between 0 and 2π.

Problem 20 · easy

An arc on a circle of radius 8 has central angle π/3. Find the arc length.

Problem 21 · medium

Find the sector area for radius 6 and central angle 2π/3.

Problem 22 · medium

For y = 2*sin(4x + π), find the phase shift.

Problem 23 · medium

What is the period of y = tan(2x)?

Problem 24 · challenge

Write an equation of a sine curve with amplitude 5, period 4π, and midline y=2.

Problem 25 · challenge

A wheel of radius 2 ft rotates at π/3 radians per second. Find the speed of a point on the rim.