Trigonometric Angles and Quadrants

The video tutorial explains how to calculate base angles using trigonometric functions, specifically focusing on cosine and tangent. It guides students through identifying the correct quadrants based on the sign of the trigonometric function and calculating angles in those quadrants. The tutorial also covers the use of the Cartesian plane to understand angle positioning and provides practical examples using a calculator.

What is the base angle when cos x equals 1/√2?

• 45 degrees

• 90 degrees

• 30 degrees

• 60 degrees

In which quadrants is cos x negative?

• First and Second

• Second and Third

• First and Fourth

• Third and Fourth

How do you calculate the angle in the third quadrant using the base angle?

• 180 minus base angle

• 180 plus base angle

• 360 plus base angle

• 360 minus base angle

What is the base angle when tan x equals √3?

• 90 degrees

• 60 degrees

• 45 degrees

• 30 degrees

In which quadrants is tan x positive?

• Second and Third

• Third and Fourth

• First and Third

• First and Second

How do you calculate the angle in the fourth quadrant using the base angle?

• 360 minus base angle

• 180 plus base angle

• 360 plus base angle

• 180 minus base angle

What is the angle in the second quadrant if the base angle is 45 degrees?

• 315 degrees

• 225 degrees

• 45 degrees

• 135 degrees

What is the angle in the third quadrant if the base angle is 60 degrees?

• 240 degrees

• 120 degrees

• 300 degrees

• 60 degrees

What is the angle in the fourth quadrant if the base angle is 30 degrees?

• 330 degrees

• 210 degrees

• 30 degrees

• 150 degrees

What is the angle in the first quadrant if the base angle is 60 degrees?

• 240 degrees

• 120 degrees

• 300 degrees

• 60 degrees