Solving for all solutions of sine with a multiple angle

The video tutorial explains how to solve quadratic and trigonometric equations. It begins with an introduction to the concepts, followed by detailed steps to solve quadratic equations, emphasizing the importance of reversing operations. The tutorial then transitions to solving trigonometric equations, highlighting common mistakes and the use of inverse functions. The session concludes with final solutions and homework instructions.

What is the first step in solving the quadratic equation 2x^2 - sqrt(2) = 0?

• Add sqrt(2)

• Subtract sqrt(2)

• Multiply by 2

• Divide by 2

When solving a trigonometric equation, what should you do before dividing by a coefficient?

• Add the coefficient

• Multiply by the coefficient

• Subtract the coefficient

• Undo the trigonometric function

What is the inverse sine function used for in solving trigonometric equations?

• To find the cosine of an angle

• To determine the angle from a sine value

• To calculate the tangent of an angle

• To find the sine of an angle

Which angles correspond to sine values of sqrt(2)/2?

• π/2 and 3π/2

• π/6 and 5π/6

• π/4 and 3π/4

• π/3 and 2π/3

Why is it important to add multiples of 2π when solving trigonometric equations?

• To account for the periodic nature of trigonometric functions

• To simplify the equation

• To eliminate extraneous solutions

• To convert radians to degrees