Solve a Trig Equation Fast

The video tutorial explains how to isolate and solve a trigonometric equation involving sine squared of Theta. It demonstrates using inverse operations, dividing both sides, and rationalizing the denominator to find the solution. The final equation is graphed, and solutions are identified on the unit circle at specific angles.

What is the first step in isolating the trigonometric function in the given equation?

• Use inverse operations

• Subtract a constant from both sides

• Multiply both sides by a constant

• Add a constant to both sides

After dividing both sides by two, what does the equation become?

• sine of Theta equals 1

• sine squared of Theta equals 1

• sine of Theta squared equals 1/2

• sine squared of Theta equals 2

How can the square root be rationalized in the equation?

• By dividing by sqrt 2

• By adding sqrt 2 to both sides

• By multiplying by sqrt 2 / 2

• By subtracting sqrt 2 from both sides

What is the final equation for sine of Theta after simplification?

• sine of Theta equals ± sqrt 2

• sine of Theta equals ± 1/2

• sine of Theta equals ± sqrt 2 / 2

• sine of Theta equals ± 1

Which angles on the unit circle correspond to the solutions of the equation?

• π / 2, π, 3π / 2, 2π

• π / 4, 3π / 4, 5π / 4, 7π / 4

• π / 6, π / 3, 2π / 3, 5π / 6

• π / 8, 3π / 8, 5π / 8, 7π / 8