#026 Solving Multiple Angle Trig Equations

What is the first step to solve 2sin(2x) = 1?

• Take the inverse sine

• Divide both sides by 2

• Multiply both sides by 2

• Square both sides

How should we treat the angle such as 2x?

• As individual terms

• As a group or chunk

• By separating the coefficient and variable

• By ignoring it completely

 In which quadrants of the unit circle does sine equal ½?

•  First and third

• First and fourth

• First and second

• Second and fourth

Why do we add 2πn in the general solution?

• To account for negative angles

• To represent all possible solutions as the function repeats

• To convert from degrees to radians

• To simplify the equation

What is the final step to solve for x in this equation?

• Multiply both sides by 2

• Divide both sides by 2

• Take the square root of both sides

• Add π to both sides