How to use factoring to solve a trigonometric equation

The video tutorial covers factoring perfect square trinomials, using substitution with tangent to simplify expressions, and solving trigonometric equations. It explains how to find solutions for tangent equations within specific intervals and discusses graphing techniques to identify solutions. The tutorial emphasizes recognizing patterns and applying algebraic methods to solve problems efficiently.

What is a perfect square trinomial?

• A trinomial with only one variable

• A trinomial that can be factored into a binomial squared

• A trinomial with three different terms

• A trinomial that cannot be factored

When substituting tangent of X into an equation, what is the first step?

• Add tangent of X to both sides

• Divide the equation by tangent of X

• Multiply the equation by tangent of X

• Replace all X's with tangent of X

Why is it unnecessary to consider plus or minus when taking the square root of zero?

• Zero is always negative

• Zero cannot be square rooted

• Zero is always positive

• Zero is neither positive nor negative

At which angles is tangent of X equal to 1 within the interval 0 to 2π?

• π and 2π

• π/4 and 5π/4

• π/2 and 3π/2

• 0 and π

Why is there no solution for tangent equations in the fourth quadrant?

• The tangent function is zero in the fourth quadrant

• The tangent function does not exist in the fourth quadrant

• The tangent function is negative in the fourth quadrant

• The tangent function is undefined in the fourth quadrant