Trigonometric Functions and Angles

This lecture covers trigonometric functions for general angles, including sine, cosine, tangent, and their reciprocals. It explains how to calculate these functions using points on the terminal side of an angle and demonstrates with examples. The lecture also discusses coterminal angles, reference angles, and the signs of trig functions in different quadrants, providing a comprehensive understanding of trigonometry in various contexts.

What is the definition of sine in terms of coordinates and distance?

• a/r

• b/r

• r/a

• r/b

How do you calculate the hypotenuse using the Pythagorean theorem?

• r = sqrt(a^2 + b^2)

• r = a^2 - b^2

• r = a^2 + b^2

• r = a + b

What is the value of tangent if the point is (2, -2)?

• 0

• 1

• 2

• -1

What is the coterminal angle of 390 degrees?

• 60 degrees

• 90 degrees

• 120 degrees

• 30 degrees

How do you find a coterminal angle in radians?

• Add or subtract π

• Add or subtract 2π

• Add or subtract π/2

• Add or subtract 3π

In which quadrant is only the sine function positive?

• Quadrant I

• Quadrant II

• Quadrant III

• Quadrant IV

What is the reference angle for 300 degrees?

• 90 degrees

• 60 degrees

• 30 degrees

• 120 degrees

What is the cosine of 600 degrees?

• sqrt(3)/2

• -sqrt(3)/2

• -1/2

• 1/2

If sine of theta is -2/3 in the third quadrant, what is cosine?

• 2/3

• -2/3

• -sqrt(5)/3

• sqrt(5)/3