Solving trigonometric equations

The video tutorial explains how to solve a trigonometric equation involving cosecant and secant functions. It begins by moving variables to one side and factoring the equation. The tutorial then discusses why the cosecant of X equals zero has no solution and proceeds to solve the secant of X equals 2. The instructor identifies angles where cosine of X equals 1/2 and finds all solutions using coterminal angles.

What is the first step in solving the trigonometric equation involving cosecant and secant functions?

• Factor out the common function

• Convert to sine and cosine

• Move all variables to one side

• Combine all terms on one side

Why can't the terms involving cosecant and secant be combined initially?

• They are already factored

• They have the same coefficient

• They are different types of functions

• They are not on the same side

What is the result when attempting to solve for cosecant of X equals zero?

• A positive solution

• An undefined solution

• A valid solution

• A negative solution

When secant of X equals 2, what is the equivalent cosine value?

• 1/2

• 2

• -1/2

• 0

Which angles correspond to cosine of X being 1/2?

• π/4 and 3π/4

• π/2 and 3π/2

• π/6 and 5π/6

• π/3 and 5π/3