Solving a trigonometric equation by taking the square root of both sides

The video tutorial explains how to solve the equation sine squared of X = 1. It begins by isolating the variable and taking the square root to find sine of X equals plus or minus 1/2. The instructor then uses the unit circle to find specific angles where sine equals these values, identifying solutions between 0 and 2π. The tutorial also covers finding all possible solutions by adding π to the initial solutions, providing a comprehensive strategy for solving such trigonometric equations.

What is the first step in solving the equation sine squared of X = 1?

• Subtract 1 from both sides

• Divide both sides by 4

• Multiply both sides by 4

• Add 1 to both sides

Which angle corresponds to sine of X being 1/2 on the unit circle?

• π/3

• π/4

• π/2

• π/6

How many solutions are there between 0 and 2π for sine of X equals plus or minus 1/2?

• 2

• 3

• 5

• 4

What is the method used to find all solutions for sine of X equals plus or minus 1/2?

• Multiplying each solution by π

• Adding π to each solution

• Subtracting π from each solution

• Adding 2π to each solution

What is the general form for all solutions of sine of X equals plus or minus 1/2?

• π/4 + 2πR

• π/3 + πR

• π/6 + πR

• π/6 + 2πR