Trigonometric Functions and 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 positivity or negativity of sine, cosine, and tangent functions. The lesson also introduces the reciprocals of these functions and provides a simple chart to help remember which functions are positive in each quadrant. Additionally, it clarifies the meaning of inequalities like 'greater than zero' and 'less than zero' in the context of trigonometric functions.

In which quadrant is the sine function positive and the cosine function negative?

• Quadrant IV

• Quadrant III

• Quadrant II

• Quadrant I

What is the reciprocal of the sine function?

• Secant

• Cosecant

• Tangent

• Cotangent

Which function is the reciprocal of cosine?

• Tangent

• Cotangent

• Cosecant

• Secant

In which quadrant are both x and y negative?

• Quadrant IV

• Quadrant III

• Quadrant II

• Quadrant I

In which quadrant is the tangent function positive?

• Quadrant I and III

• Quadrant II and IV

• Quadrant I and II

• Quadrant III and IV

Which trigonometric function is positive in the first quadrant?

• Cosine

• Sine

• All of the above

• Tangent

What is the easy way to remember which trig functions are positive in each quadrant?

• Using a calculator

• Memorizing a chart

• Drawing a circle

• Using a mnemonic

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

• Theta is undefined

• Theta is zero

• Theta is positive

• Theta is negative

If cosine is negative, in which quadrants could theta be?

• Quadrant I and II

• Quadrant II and III

• Quadrant III and IV

• Quadrant I and IV

What does 'less than zero' mean in terms of trigonometric functions?

• Undefined

• Positive

• Negative

• Zero