Pre-Calculus - Solve an Equation Using the Double Angle Formula of Sine

The video tutorial reviews solving trigonometric equations with multiple angles, focusing on using double angle formulas. The instructor demonstrates how to rewrite equations using these formulas, factor them, and apply the zero product property to find solutions within a specified interval. The tutorial emphasizes understanding the relationship between sine and cosine functions and their solutions.

What is the main challenge when solving equations with different trigonometric functions?

• Applying the zero product property without multiplication

• Isolating one function and ignoring the other

• Using the same formula for both functions

• Finding the exact value of the angle

Which formula is used to rewrite the sine of 2X in the equation?

• Pythagorean identity

• Sum and difference formula

• Double angle formula

• Half angle formula

What is the purpose of factoring out common terms in the equation?

• To eliminate one of the trigonometric functions

• To apply the Pythagorean identity

• To convert the equation into a quadratic form

• To simplify the equation for easier solving

At which angles does cosine of X equal zero within the interval 0 to 2π?

• π/4 and 3π/4

• 0 and π

• π/2 and 3π/2

• π and 2π

How are the solutions for the equation expressed in terms of π?

• X = π/4 + πN

• X = π/2 + πM

• X = π/3 + 2πN

• X = π + 2πM