How to solve a trig equation with square roots

The video tutorial explains how to solve a trigonometric equation involving cosine. It begins with isolating the trigonometric function and solving the equation by taking the square root, ensuring to consider both positive and negative solutions. The instructor then uses the unit circle to identify possible angle solutions and demonstrates how to simplify these solutions by recognizing coterminal angles. The tutorial emphasizes understanding the distance between angles and how to represent solutions efficiently.

What is the first step in isolating the trigonometric function in the equation 4cos²(X) = 1?

• Divide both sides by 4

• Multiply both sides by 4

• Add 1 to both sides

• Subtract 1 from both sides

When taking the square root of both sides of an equation, why is it important to consider both positive and negative solutions?

• Because the square root function is always positive

• To ensure all possible solutions are considered

• Because cosine is always positive

• To simplify the equation

How many coordinates are identified on the unit circle for the cosine value of ±1/2?

• One coordinate

• Four coordinates

• Three coordinates

• Two coordinates

What is the advantage of using coterminal angles when writing solutions to trigonometric equations?

• It provides more accurate solutions

• It increases the number of solutions

• It simplifies the representation of solutions

• It eliminates the need for a unit circle

How can you determine if you can write a single solution with a plus π notation?

• By checking if the angles are coterminal

• By ensuring all angles are positive

• By confirming the angles are more than 2π

• By verifying the angles are less than π