Learn how to solve a trigonometric equation with cosine

The video tutorial covers trigonometric functions, focusing on isolating variables using inverse operations. It explains simplifying square roots and rationalizing denominators. The unit circle is used to find angles corresponding to specific cosine values, with a focus on π/4. The tutorial identifies all solutions for cosine values between 0 and 2π and concludes with a preview of further explanations using a computer.

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

• Multiply both sides by two

• Divide both sides by two

• Add one to both sides

• Subtract one from both sides

How can the square root of 1/2 be simplified algebraically?

• As 2/√2, then rationalize to √2

• As √1/2, then rationalize to 1/2

• As √2/2, then rationalize to 1/√2

• As 1/√2, then rationalize to √2/2

Which angle in the first quadrant corresponds to a cosine value of √2/2?

• π/3

• π/2

• π/4

• π/6

What is the reference angle for all solutions where cosine equals ±√2/2?

• π/6

• π/3

• π/4

• π/2

Which of the following is not a solution for cosine equals ±√2/2 between 0 and 2π?

• π/2

• 3π/4

• 7π/4

• 5π/4