How to solve a trigonometric equation with sine and cosine

The video tutorial revisits solving linear and quadratic equations, emphasizing the use of inverse operations and factoring. It then transitions to solving trigonometric equations, highlighting the challenges of dealing with sine and cosine functions. The instructor explains the use of Pythagorean identities and factoring techniques, including handling negatives. The session concludes with finding solutions to trigonometric equations, using the unit circle and understanding the domain of inverse functions.

What is the primary method used to solve quadratic equations as discussed in the video?

• Factoring and setting the equation to zero

• Using the quadratic formula

• Graphing the equation

• Completing the square

Why can't we directly solve for sine or cosine in trigonometric equations?

• Because they are undefined

• Because they are not real numbers

• Because they are always positive

• Because they involve other trigonometric functions in the answer

What identity is suggested to use when encountering a squared trigonometric function?

• Reciprocal identities

• Pythagorean identities

• Even-odd identities

• Quotient identities

What is the teacher's preferred method when dealing with negative factors in equations?

• Factor out the negative

• Use a calculator

• Ignore the negative

• Multiply by a positive number

What is the domain of the inverse sine function?

• Between -2 and 2

• Between -1 and 1

• Between 0 and π

• Between -π and π

What are the solutions for sine of X equals 1/2 on the unit circle?

• π/2 and 3π/2

• π/6 and 5π/6

• π/4 and 3π/4

• π/3 and 2π/3

How can you find all solutions for a trigonometric equation within a given interval?

• By subtracting 2π from each solution

• By subtracting π from each solution

• By adding π to each solution

• By adding 2π to each solution