Solving for tangent of a multiple angle

The video tutorial explains how to solve a tangent equation without constraints. It highlights common mistakes students make, such as misunderstanding function operations. The instructor guides through solving the equation by evaluating the tangent function and finding angles where the tangent equals -1. The solution involves adding multiples of π to account for the lack of constraints, and the final answer is derived by multiplying through to solve for X.

What is the first step in solving the equation 3 * tan(x/2) + 3 = 0?

• Divide both sides by 3

• Multiply both sides by 2

• Add 3 to both sides

• Subtract 3 from both sides

Why can't you multiply by 2 to eliminate the division in tan(x/2)?

• Because 2 is inside the tangent function

• Because 2 is not a factor of tangent

• Because 2 is a constant

• Because 2 is an exponent

In the equation 3x^2 = 12, what should be done first?

• Divide by 3

• Subtract 12 from both sides

• Square root both sides

• Multiply by 3

What are the angles where tangent equals -1?

• π/2 and 3π/2

• 3π/4 and 7π/4

• 0 and π

• π/4 and 5π/4

What is the final solution for x in the equation 3 * tan(x/2) + 3 = 0?

• x = π/2 + 2πn

• x = π + 2πn

• x = 3π/2 + 2πn

• x = 2π + 2πn