SOLUTION: if tan0=8/3 in quadrant 3, what are cos20, sin0/2, cos0/2

Question 304682: if tan0=8/3 in quadrant 3, what are cos20, sin0/2, cos0/2
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
if tan0=8/3 in quadrant 3, what are cos20, sin0/2, cos0/2
-------------
Angle is th (theta)
Hypotenuse = sqrt(73)
sin(th) = -8/sqrt(73) = -8sqrt(73)/73
cos(th) = -3/sqrt(73) = -3sqrt(73)/73
-----------------------
cos(2th) = cos^2(th) - sin^2(th)
= 9/73 - 64/73 = -55/73
-----------------------------
cos(th/2) = sqrt((1+cos(th))/2)
=
--------------------------------
sin(th/2) = sqrt((1-cos(th))/2)
=

RELATED QUESTIONS
if sin0 = -3/5 and cos0<0, the 0 terminates in what... (answered by lwsshak3)

if sec0=3 and tan0=2sqr root 2 what are the values of cot0 sin0 cos^2... (answered by nabla)

if 5tan0 = 12 and 0 < 0 > 90 use a sketch to help find the value of sin0 cos0... (answered by Alan3354)

cos(0 + pi)= (a) -cos0 (b) -sin0 (c) cos0 (d) sin0 (e) cos20 (All of the 0 have... (answered by lwsshak3)

given sin0 is -1/sqrt2 and 0 lies in quadrant iv, find... (answered by lwsshak3)

How do you show that sin0 = cos0 tan0... (answered by stanbon)

find sin0 if cos0=4/5 (answered by ewatrrr)

tan=3/5, in the first quadrant a=sin20 and... (answered by Alan3354)

Express the complex number, 3+4i, in polar form. (Round decimals to the nearest tenth) (answered by ikleyn)