Understanding the Signs of Trigonometric Functions in Quadrants

This lesson covers the signs of trigonometric functions in different quadrants of the coordinate plane. It explains how the signs of x and y coordinates affect the signs of sine, cosine, and tangent, as well as their reciprocals. The lesson also introduces a simple trig chart to help remember which functions are positive in each quadrant. Additionally, it clarifies how to interpret statements about the positivity or negativity of trig functions, using quadrant II as an example.

In which quadrant are both x and y positive?

• First quadrant

• Fourth quadrant

• Third quadrant

• Second quadrant

What is the reciprocal of the sine function?

• Secant

• Cosecant

• Cotangent

• Tangent

Which trigonometric function is positive in the second quadrant?

• Sine

• Secant

• Tangent

• Cosine

If the sine of theta is positive and the cosine of theta is negative, in which quadrant is theta?

• First quadrant

• Second quadrant

• Third quadrant

• Fourth quadrant

What does it mean if the sine of theta is greater than zero?

• Theta is in a quadrant where y is positive

• Theta is in a quadrant where x is positive

• Theta is in the fourth quadrant

• Theta is in the third quadrant