Trigonometric Functions in Quadrants

The video tutorial explains how to determine the values of the six trigonometric functions for real numbers on the unit circle, based on the quadrant in which the angle lies. It details which trig functions are positive in each of the four quadrants and provides examples to determine the quadrant of a terminal point based on the signs of sine, cosine, tangent, and other trig functions.

What is the primary method to determine the values of trigonometric functions for real numbers?

• Using the unit circle and terminal points

• Using the Pythagorean theorem

• Using algebraic equations

• Using trigonometric identities

In which quadrant are all six trigonometric functions positive?

• Quadrant 1

• Quadrant 2

• Quadrant 3

• Quadrant 4

Which trigonometric functions are positive in Quadrant 2?

• All six functions

• Sine and Cosecant

• Cosine and Secant

• Tangent and Cotangent

Why are sine and cosecant positive in Quadrant 2?

• Because the x-coordinate is positive

• Because the y-coordinate is positive

• Because both x and y are negative

• Because the angle is less than 90 degrees

Which trigonometric functions are positive in Quadrant 3?

• Sine and Cosecant

• All six functions

• Cosine and Secant

• Tangent and Cotangent

Why are tangent and cotangent positive in Quadrant 3?

• Because the y-coordinate is positive

• Because the x-coordinate is positive

• Because both x and y are negative

• Because both x and y are positive

Which trigonometric functions are positive in Quadrant 4?

• Sine and Cosecant

• Cosine and Secant

• Tangent and Cotangent

• All six functions

Why are cosine and secant positive in Quadrant 4?

• Because the angle is less than 90 degrees

• Because both x and y are negative

• Because the y-coordinate is positive

• Because the x-coordinate is positive

If sine and cosine are both negative, in which quadrant does the terminal point lie?

• Quadrant 4

• Quadrant 1

• Quadrant 3

• Quadrant 2

In which quadrants is sine negative?

• Quadrants 1 and 2

• Quadrants 2 and 3

• Quadrants 1 and 4

• Quadrants 3 and 4