Solving trigonometric equations with multiple angles

The video tutorial explains how to solve trigonometric equations by isolating the trigonometric function and solving for the variable. It covers the relationship between secant and cosine, using the unit circle to find angles where cosine equals 1/2, and extends solutions beyond the interval of 0 to 2π by adding coterminal angles. Finally, it demonstrates solving for X in multiple angle equations by dividing and finding general solutions.

What is the first step in solving a trigonometric equation involving secant?

• Convert secant to sine

• Isolate the trigonometric function

• Multiply by the variable

• Add a constant to both sides

How are secant and cosine related?

• They are equal

• Secant is the square of cosine

• Secant is the derivative of cosine

• They are reciprocals

At which angles does cosine equal 1/2 on the unit circle?

• π/4 and 3π/4

• π/2 and 3π/2

• π/3 and 5π/3

• π/6 and 5π/6

Why is it important to find coterminal angles when solving trigonometric equations?

• To simplify the equation

• To convert angles to radians

• To ensure all possible solutions are found

• To find solutions within a limited range

What is the general solution for X when solving the equation 4X = π/3 + 2πN?

• X = π/6 + πN

• X = π/12 + π/2N

• X = π/4 + π/3N

• X = π/3 + 2πN