Learn to solve your trigonometric equation with sine squared

The video tutorial demonstrates how to solve the trigonometric equation 4/4 sine squared of X = 1. The instructor begins by isolating the variable X and simplifying the equation using division and square roots. The unit circle is then used to find specific angle solutions where sine of X equals 1/2. The tutorial concludes by explaining how to find all possible solutions by considering coterminal angles and adding multiples of 2π.

What is the first step in solving the equation 4/4 sine squared of X = 1?

• Multiply both sides by 4

• Divide both sides by 4

• Subtract 4 from both sides

• Add 4 to both sides

After isolating sine of X, what is the next step to solve the equation?

• Square both sides

• Multiply by 2

• Add 1 to both sides

• Take the square root of both sides

Which angle in the first quadrant has a sine value of 1/2?

• π/2

• π/4

• π/3

• π/6

What is the angle in the second quadrant that also has a sine value of 1/2?

• π

• 5π/6

• 3π/4

• 2π/3

How can you find all possible solutions for the equation?

• By subtracting π from each solution

• By adding π to each solution

• By adding multiples of 2π to each solution

• By dividing each solution by 2