You can put this solution on YOUR website! hat is the exact value of sin2x, cos2x and tan2x if tanx=1/2,pi
***
hypotenuse of working right triangle=√(1^2+2^2)=√5
sinx=1/√5
cosx=2/√5
..
sin2x=2sinxcosx=2*1/√5*2/√5=4/5
cos2x=cos^2x-sin^2x=4/5-1/5=3/5
tan2x=sin2x/cos2x=4/3
check:
tanx=1/2
x=26.565˚
2x=53.13˚
..
sin2x=sin53.13≈0.7999...
exact value=4/5=0.8000
..
cos2x=cos53.13≈0.6000
exact value=3/5=0.6000
..
tan2x=tan53.13≈1.3333...
exact value=4/3≈1.3333...
(