Given the points P( -15, 8)

Question

Sketch the angle in standard position, determine the value of the principal angle to the nearest degree and determine the exact value for all six trigonometric ratio(in simplest form).

Answer 1

(-15, 8) is in the 2nd quadrant

hypotenuse = square root of 15^2 + 8^2 = sqr(225+64) = sqr(289) = 17

sinx=8/17 cosx = -15/17

cscx= 17/8 secx =-17/15

tanx = -8/15 cotx = - 15/8

angle = 180-28.072 = 151.928 degres

angle = 152 degrees = 152/180 pi = 0.844 pi radians

Answer 2