Math 3H Unit 6 Part I REVIEW

Front

What are co-terminal angles?

Back

Co-terminal angles are angles that share the same terminal side when drawn in standard position. They can be found by adding or subtracting multiples of 360°.

Front

How do you find co-terminal angles for a given angle?

Back

To find co-terminal angles, add or subtract 360° (or 2π radians) to/from the given angle.

Front

What is the terminal side of an angle?

Back

The terminal side of an angle is the position of the angle after it has been rotated from the initial side (the positive x-axis) in a counterclockwise direction.

Front

In which quadrant does an angle of 330° lie?

Back

An angle of 330° lies in Quadrant IV.

Front

How do you determine the quadrant of a negative angle?

Back

To determine the quadrant of a negative angle, add 360° until the angle is positive, then identify the quadrant based on the resulting angle.

Front

What is the cosine of an angle in the fourth quadrant?

Back

In the fourth quadrant, the cosine of an angle is positive.

Front

What is the sine of an angle in the fourth quadrant?

Back

In the fourth quadrant, the sine of an angle is negative.

Front

If cos(θ) = 3/4 and θ is in Quadrant IV, what is sin(θ)?

Back

Using the Pythagorean identity, sin(θ) = -√(1 - cos²(θ)) = -√(1 - (3/4)²) = -√(7)/4.

Front

What is the tangent of an angle in the fourth quadrant?

Back

In the fourth quadrant, the tangent of an angle is negative because sine is negative and cosine is positive.

Front

How do you calculate tan(θ) if you know cos(θ) and sin(θ)?

Back

tan(θ) = sin(θ) / cos(θ).