SOLUTION: Please help me solve this equation use a double angle formulas to find the exact value of cos2u when sinu=3/5, where pi/2<u<pi

Algebra.Com
Question 690368: Please help me solve this equation
use a double angle formulas to find the exact value of cos2u when sinu=3/5, where pi/2

Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
use a double angle formulas to find the exact value of cos2u when sinu=3/5, where pi/2 ..
cos2u=1-2sin^u
=1-2*(3/5)^2
=1-18/25
=7/25
..
calculator check:
u=sin^-1(3/5)≈2.498 (in quadrant II)
2u≈4.9961 (in quadrant IV where cos>0)
cos2u=cos(4.9961)≈0.2799..
7/25=0.28

RELATED QUESTIONS

Use double-angle formula to find th exact value of cos2u when sinu=5/13, where pi/2 < u < (answered by solver91311)
Use a double-angle formula to find the exact value of cos(2u) when sin(u)=8/17, where... (answered by ewatrrr)
please help thank you. use a double angle identity to find the exact value 2... (answered by ikleyn)
please help me find the exact value of tan2u given: sinu= -4/5 & pi < u <... (answered by lwsshak3)
Please help me answer this problem. Use half anglel formulas to find the exact value of... (answered by lwsshak3)
please help me find the exact values of: sin2u given: sinu= -4/5 and pi < u... (answered by lwsshak3)
please help me find the exact values of: tan2u given sinu= -4/5 and pi< u <... (answered by jsmallt9)
A point (-2,-5) is on the terminal side of angle θ when drawn in standard position. (answered by Alan3354)
Find the exact values of sin 2u , Cos 2u, and tan 2u using double angle formulas. 1.... (answered by stanbon)