trigonometric functions

Question

A point on the terminal side of an angle A is (-3, 4)

Answer 1

Draw point in coordinate plane.

Using Pythagorean Theorem. Legs are of length 3 and 4. The hypotenuse (line drawn from origin to -3,4) is of length 5.

Angle is between hypotenuse and x axis

Since in Quadrant II, the sine is positive and the cosine is negative.

sine(angle) = opposite/hypotenuse = 4/5

cos(angle) = adjacent/hypotenuse = -3/5

tan(angle) = sine(angle)/cos(angle) = -4/3

cot(angle) = 1/tan(angle) = -3/4

csc(angle) = 1/sine(angle) = 5/4

sec(angle) = 1/cos(angle) = -5/3