Trigonometric Functions and Quadrants

The video tutorial covers solving trigonometric equations for sine, cosine, and tangent. It explains how to find solutions using exact values and calculators, and how to determine the correct quadrants for positive and negative values. The tutorial also demonstrates graphical methods for visualizing solutions and emphasizes the periodic nature of trigonometric functions.

What is the first solution for sine x = √3/2?

• 30 degrees

• 45 degrees

• 60 degrees

• 90 degrees

In which quadrant is sine positive?

• First and Second

• First and Fourth

• Third and Fourth

• Second and Third

What is the second solution for sine x = √3/2 in the second quadrant?

• 210 degrees

• 150 degrees

• 120 degrees

• 240 degrees

What is the basic angle for cosine when cos x is negative?

• 60 degrees

• 120 degrees

• 90 degrees

• 30 degrees

Which quadrants are relevant for negative cosine values?

• Third and Fourth

• Second and Third

• First and Fourth

• First and Second

What is the solution for cos x = -√3/2 in the second quadrant?

• 210 degrees

• 180 degrees

• 150 degrees

• 120 degrees

What is the basic angle for tangent when tan x = -1?

• 30 degrees

• 45 degrees

• 90 degrees

• 60 degrees

In which quadrants is tangent negative?

• First and Third

• Second and Fourth

• First and Second

• Third and Fourth

What is the solution for tan x = -1 in the second quadrant?

• 315 degrees

• 225 degrees

• 405 degrees

• 135 degrees

What is the periodicity of the tangent function?

• 90 degrees

• 180 degrees

• 270 degrees

• 360 degrees