Solve a trigonometric equation using the double angle formulas

The video tutorial explains how to solve a trigonometric equation involving sine functions. It begins by rearranging the equation to bring all terms to one side. The instructor then introduces the double angle formula to simplify the equation further. By factoring out common terms, the equation is solved using the zero product property. The solution is verified using the unit circle, identifying angles where sine and cosine values meet the criteria.

What is the first step suggested by the teacher to solve the equation sine of 2 Theta equals sine of Theta?

• Combine the terms directly

• Bring both functions to the same side of the equation

• Use the inverse operation

• Apply the Pythagorean identity

Which formula is used to rewrite sine of 2 Theta in the equation?

• Sum-to-product formula

• Pythagorean identity

• Double angle formula

• Half angle formula

After applying the double angle formula, what property is used to solve the equation?

• Commutative property

• Distributive property

• Zero product property

• Associative property

At which angles is sine of Theta equal to 0?

• π/6 and 5π/6

• π/4 and 3π/4

• π/2 and 3π/2

• 0 and π

For which angles is cosine of Theta equal to 1/2?

• π/3 and 5π/3

• π/4 and 7π/4

• π/2 and 3π/2

• π/6 and 11π/6