Question

If tan theta is equal to root 3, find the value of sintheta×costheta

Answer 1

HEY MATE_____>

tan^2 theta +1 = sec^2 theta 
3+1 =4 =1/cos^2 theta 
cos^2 theta=1/4 
sin^2 theta = 3/4 
sin theta cos theta = +/- sqrt[ 3/16]= +/- sqrt[3]/4 
-sqrt[3]/4 is extraneous so sqrt[3]/4 is only answer

I THINK IT HELPED YOU ^

Answer 2

Let theta = a
tan a =root 3
tan a = tan 60
a=60
Sin 60 *cos 60
=root 3/2 * 1/2
=root 3/4