SOLUTION: Find the exact values of sin(θ/2), cos(θ/2), and tan(θ/2) for the given conditions.
sec θ = −
4
3
; 180° < θ < 270°
Algebra.Com
Question 1028915: Find the exact values of sin(θ/2), cos(θ/2), and tan(θ/2) for the given conditions.
sec θ = −
4
3
; 180° < θ < 270°
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find the exact values of sin(θ/2), cos(θ/2), and tan(θ/2) for the given conditions.
sec θ = −4/3 ;
Note:: cos(t) = -3/4
------------------------
x = -3, r = 4, y = -sqrt[4^2-3^2] = -sqrt(7)
-----
sin(t/2) = -sqrt[(1+3/4)/2] = -sqrt[7/8]
cos(t/2) = -sqrt[(1-(3/4)/2] = -sqrt[1/8]
tan(t/2) = -sqrt(7/8)/-sqrt(1/8) = sqrt[7]
180° < θ < 270°
--------
Cheers,
Stan H.
------------
RELATED QUESTIONS
Find the exact values of sin(θ/2), cos(θ/2), and tan(θ/2) for the given... (answered by Alan3354)
Find the exact values of sin(θ/2), cos(θ/2), and tan(θ/2) for the given... (answered by lwsshak3)
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 lwsshak3)
Find the exact values of sin 2θ, cos 2θ, and tan 2θ for the given value of (answered by brysca)
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 cosθ, and tanθ given sinθ=-(sqrt3)/2 and... (answered by stanbon)
If secθ= 4/3 and θ terminates in Quadrant IV, find the exact values for all six (answered by lwsshak3)
FInd the values of θ between 0° and 180° for which
a) secθ= cosecθ
b)... (answered by Theo)