Solve a trig equation: All solutions

The video tutorial explains how to use inverse operations to isolate trigonometric functions, specifically focusing on cosine. It covers the unit circle and reference angles, and how to find solutions for angles within specific intervals. The tutorial also discusses general solutions and how to simplify them for multiple-choice questions. Finally, it addresses student questions and explores creative solutions for different intervals.

What is the first step in isolating a trigonometric function using inverse operations?

• Divide by 4

• Multiply by 4

• Add 3

• Subtract 3

Which angle on the unit circle corresponds to a reference angle of π/6?

• π/3

• π/4

• π/6

• π/2

In the interval from 0 to π, which angles are solutions for cosine of Theta equals plus or minus sqrt(3)/2?

• π/6 and 5π/6

• π/2 and π

• π/3 and 2π/3

• π/4 and 3π/4

What is the complete set of solutions for cosine of Theta equals plus or minus sqrt(3)/2 on the unit circle?

• π/2, π, 3π/2, 2π

• π/4, 3π/4, 5π/4, 7π/4

• π/3, 2π/3, 4π/3, 5π/3

• π/6, 5π/6, 7π/6, 11π/6

How can you express all solutions for cosine of Theta equals plus or minus sqrt(3)/2?

• Theta = π/6 + 2πN

• Theta = π/3 + πN

• Theta = π/4 + 2πN

• Theta = π/6 + πN

What is the angle measure added to π/6 to find all solutions?

• 3π/2

• 2π

• π

• π/2

Which angles are equidistant from each other in the context of finding all solutions?

• π/3 and 5π/3

• 5π/6 and 11π/6

• π/4 and 7π/4

• π/6 and 7π/6