Solve the trigonometric equation with triple angle

The video tutorial explains how to solve a trigonometric equation involving sine and the unit circle. It begins by setting up the problem and finding solutions for 3X. The instructor then demonstrates dividing these solutions by three to solve for X. The video further explores extending these solutions within the range of 0 to 2π. Finally, the instructor concludes with a brief discussion on the next steps, including using half-angle formulas.

What should you do when there is a number in front of the sine function in a trigonometric equation?

• Divide the entire equation by the number

• Ignore the number and solve as usual

• Change the number to zero

• Multiply the entire equation by the number

When solving for X in the equation 3X = π/4, what is the first step?

• Add π/4 to both sides

• Multiply by 3

• Divide by 3

• Subtract π/4 from both sides

How do you express halfway around the unit circle in terms of twelfths?

• 6π/12

• 12π/12

• 18π/12

• 24π/12

What is the maximum value of π/12 you can reach while staying within 0 to 2π?

• 23π/12

• 24π/12

• 22π/12

• 25π/12

What is the next step after finding the initial solutions for X in terms of 3X?

• Add π to each solution

• Subtract π from each solution

• Multiply each solution by 3

• Continue adding until reaching 24π/12