Solve Three Trig Funtions Fast

The video tutorial demonstrates how to solve trigonometric equations efficiently by focusing on key methods without over-explaining. It covers three examples: solving cosine, sine, and tangent equations using inverse operations, unit circle knowledge, and factoring. The tutorial emphasizes finding solutions on the interval 0 to 2π and extending them to all solutions using mathematical notation.

What is the first step in solving a trigonometric equation with one function?

• Use the unit circle

• Apply inverse operations

• Graph the function

• Use factoring

When solving a cosine equation, what does the cosine of an angle represent on the unit circle?

• The Y coordinate

• The radius

• The X coordinate

• The angle itself

How can you find all solutions for a cosine equation?

• Subtract multiples of π

• Subtract multiples of 2π

• Add multiples of π

• Add multiples of 2π

What is the Y coordinate on the unit circle for sine of π/3?

• 1/2

• √3/2

• 0

• -√3/2

What is a common mistake students make when finding all solutions for sine equations?

• Not simplifying the solutions

• Using inverse operations incorrectly

• Adding 2π to each solution

• Not using the unit circle

What is the simplified approach to find all solutions for sine equations?

• Subtract π from the smallest positive angle

• Subtract 2π from the smallest positive angle

• Add π to the smallest positive angle

• Add 2π to the smallest positive angle

What method is used to solve trigonometric equations with more than one function?

• Substitution

• Factoring

• Inverse operations

• Graphing

What property is used when a product of factors equals zero?

• Zero product property

• Zero sum property

• Zero equation property

• Zero factor property

What is the tangent of an angle on the unit circle?

• X/Y

• Y/X

• X coordinate

• Y coordinate

Which angles satisfy the equation tangent of Theta equals zero?

• 0 and π

• π/2 and 3π/2

• π/4 and 3π/4

• π/3 and 2π/3