Using half angles to solve trigonometric equations

The video tutorial covers solving trigonometric equations by isolating variables and using inverse operations or factoring. It explains how to apply trigonometric identities to simplify equations and solve them. The instructor demonstrates solving a quadratic trigonometric equation by factoring and using the unit circle to find solutions. Key concepts include inverse operations, trigonometric identities, and the zero product property.

What are the two basic methods discussed for solving equations?

• Graphing and substitution

• Isolating variables and using the zero product property

• Using matrices and determinants

• Completing the square and using quadratic formula

What is the first step in solving an equation with a square root?

• Add a constant to both sides

• Multiply both sides by a fraction

• Isolate the square root

• Use the quadratic formula

How do you eliminate a square root in an equation?

• Add a constant to both sides

• Square both sides of the equation

• Multiply by the reciprocal

• Use logarithms

Which trigonometric identity is used to rewrite sine squared in terms of cosine?

• Half angle formulas

• Double angle formulas

• Sum and difference formulas

• Pythagorean identity

What is the next step after factoring an equation?

• Use the quadratic formula

• Apply the zero product property

• Graph the equation

• Use substitution

When does the cosine of X equal -1/2 on the unit circle?

• At 2π/3 and 4π/3

• At π/2 and 3π/2

• At π/3 and 5π/3

• At π and 2π

What is the solution for cosine of X equals 1?

• π/2

• π

• 2π

• 0