Find the solutions given a trig equations and half angle

The video tutorial explains solving trigonometric equations involving multiple angles. It starts with setting up the problem and identifying common elements. The instructor applies the product property and simplifies expressions, focusing on treating X/2 as X. Solutions are found by solving equations and checking constraints. The tutorial concludes with final adjustments to the solution set, emphasizing the importance of not altering numbers until the end.

What is the primary focus when initially solving trigonometric equations?

• Graphing the function

• Calculating the derivative

• Identifying common elements and applying properties

• Finding the exact value of X

When solving the equation, what should you treat X/2 as?

• As X

• As a constant

• As zero

• As a separate variable

What is the solution for X when the cosine of X/2 equals 1/2?

• π/3 and 5π/3

• π/4 and 3π/4

• π/6 and 5π/6

• π/2 and 3π/2

What should be done after finding the initial solutions for X?

• Multiply by two on both sides

• Divide by two on both sides

• Add π to both sides

• Subtract π from both sides

Which of the following is a valid solution within the constraints of 0 to 2π?

• 10π/3

• 4π

• 2π/3

• 5π