SOLUTION: use the given information to find the exact value of the expression:
sin theta = 24/25, theta lies in quadrant 2. Find tan 2theta
Algebra ->
Trigonometry-basics
-> SOLUTION: use the given information to find the exact value of the expression:
sin theta = 24/25, theta lies in quadrant 2. Find tan 2theta
Log On
Question 926743: use the given information to find the exact value of the expression:
sin theta = 24/25, theta lies in quadrant 2. Find tan 2theta Answer by lwsshak3(11628) (Show Source):
You can put this solution on YOUR website! use the given information to find the exact value of the expression:
sin theta = 24/25, theta lies in quadrant 2. Find tan 2theta
***
use x for theta
sinx=24/25
cosx=-√(1-sin^2(x))=-√(1-576/625)=-√(49/525)=-7/25
tanx=sinx/cosx=-24/7
..
check:
sinx=24/25
x≈106.26˚
tanx≈tan106.26≈-3.4286
exact value=-24/7≈-3.4286
(