SOLUTION: Evaluate the expression under the given conditions. sin(θ/2); tan θ = − 3/4 , θ in Quadrant IV (assume 0 < θ < 2π)
Algebra.Com
Question 957063: Evaluate the expression under the given conditions. sin(θ/2); tan θ = − 3/4 , θ in Quadrant IV (assume 0 < θ < 2π)
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
use x for θ
Evaluate the expression under the given conditions. sin(x/2); tan x = − 3/4 , x in Quadrant IV (assume 0 < x < 2π)
***
working with a (3-4-5) reference right triangle in quadrant IV where sin<0, cos>0
cos x=4/5 (In Q4)
..
Check: w/calculator
tanx=-3/4(In Q4)
x=323.13
x/2=161.57
sin(x/2)=sin(161.57)≈0.3162
Exact value=√10/10≈0.3162
RELATED QUESTIONS
Evaluate the expression under the given conditions
sin(θ − ϕ); tan... (answered by ikleyn)
Evaluate the expression under the given conditions.
sin(θ − ϕ); tan... (answered by ikleyn)
PLEASE HELP!
Evaluate the expression under the given conditions.
sin(θ −... (answered by ikleyn)
Someone PLEASE help !!!!!!
Evaluate the expression under the given conditions.... (answered by stanbon)
Someone PLEASE help !!!!!
Evaluate the expression under the given conditions.... (answered by ikleyn)
Evaluate the expression under the given conditions.
tan 2θ; cos θ = 3/5,... (answered by Alan3354)
Find the exact values of sin(θ/2), cos(θ/2), and tan(θ/2) for the given... (answered by stanbon)
Find the exact values of sin(θ/2), cos(θ/2), and tan(θ/2) for the given... (answered by Alan3354)
Determine the quadrant containing the terminal side of θ under the given conditions.
(answered by KMST)