117 The point Px y on the unit circle that corresponds to a

117% The point P(x, y) on the unit circle that corresponds to a real number t is given. Find the value of the indicated trigonometric function at t. 4) Find tan t. 4) B) C) Var: 8 O Type here to search 6 2

Solution

p ( 3/4 , sqrt 7/4 )

cos t = 3/4

sin t = sqrt 7/4

tan t = sin t /cos t

sqrt 7 / 4 / 3 / 4

= sqrt 7 / 3

option b is correct

2) z1 = 2 ( cos pi/3 + i sin pi/3 )

z2 = 5 ( cos pi/2 + i sin pi/2 )

z1 z2 = 10 ( cos 5pi/6 + i sin 5 pi/6 )

option d is correct