Trigonometric Functions of Any Angle - Part 1

In which quadrant are both sine and cosine positive?

• Quadrant IV

• Quadrant III

• Quadrant II

• Quadrant I

What happens to the signs of x and y coordinates as you move around the unit circle?

• They are always zero.

• They can be either positive or negative.

• They remain negative.

• They remain positive.

How is the sine of an angle defined in terms of a right triangle?

• Adjacent over opposite

• Hypotenuse over opposite

• Adjacent over hypotenuse

• Opposite over hypotenuse

What is the cosine of an angle defined as in a right triangle?

• Opposite over hypotenuse

• Adjacent over hypotenuse

• Opposite over adjacent

• Hypotenuse over adjacent

What is the relationship between tangent and cotangent?

• Cotangent is the difference between tangent and cosine

• Cotangent is the reciprocal of tangent

• Cotangent is the sum of tangent and sine

• Cotangent is the square of tangent

Which trigonometric function is defined as the reciprocal of cosine?

• Sine

• Tangent

• Secant

• Cosecant

Which trigonometric function is defined as the reciprocal of sine?

• Secant

• Cotangent

• Cosecant

• Tangent

If a point on the unit circle is at (3, -4), what is the value of r?

• 5

• 3

• 4

• 6

How do you calculate the sine of an angle using a point on the unit circle?

• y-coordinate divided by r

• r divided by x-coordinate

• x-coordinate divided by r

• r divided by y-coordinate

What is the sine of an angle if the point on the unit circle is (3, -4) and r is 5?

• -3/5

• 4/5

• 3/5

• -4/5