SOLUTION: please help me find the exact value of
tan2u
given: sinu= -4/5 & pi < u < 3pi/2
Algebra.Com
Question 622024: please help me find the exact value of
tan2u
given: sinu= -4/5 & pi < u < 3pi/2
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
find the exact value of
tan2u
given: sinu= -4/5 & pi < u < 3pi/2
**
sinu=-4/5 in quadrants III and IV where sin<0
since quadrant IV is not in the domain,(π,3π/2), reference angle is in quadrant III
sinu=-4/5=opposite side/hypotenuse
adjacent side=3 since you are working with a 3-4-5 right triangle
tanu=opposite side/adjacent side=4/3 in quadrant III where tan>0
tan2u=2tanu/(1-tan^2u)=2*4/3/(1-(4/3)^2)=(8/3)/(1-16/9)=(8/3)/(-7/9)=-72/21
RELATED QUESTIONS
please help me find the exact values of:
tan2u
given sinu= -4/5 and pi< u <... (answered by jsmallt9)
please help me find the exact values of:
sin2u
given: sinu= -4/5 and pi < u... (answered by lwsshak3)
Please help me solve this equation
use a double angle formulas to find the exact value... (answered by lwsshak3)
Find the exact values of sin2u, cos2u, and tan2u. cotu=-6, 3pi/2 (answered by lwsshak3)
Use double-angle formula to find th exact value of cos2u when sinu=5/13, where pi/2 < u < (answered by solver91311)
Find the exact value of the trig function csc(u+v) given that sinu= 5/13 and cosu=... (answered by stanbon)
Find the exact value of the trig function cos (u+v) given that sinu= 5/13 and cosu=... (answered by stanbon)
find the exact value of the trigonometric function, cos(u+v), given that sinu=5/13 and... (answered by stanbon)
Please help me solve this question: Find the exact value of cos(u+v) given that... (answered by savvyhush23)