Verify the given identity. (Simplify your answers completely.) 2 tan (x)/1 + tam^2(x) = sin (2x)
Show that the left hand side of the equation is equivalent to the right hand side. 2 tan(x)/1 +
tan^1(x)
Solution
L.H.S = 2tan(x) / 1+tan^2 x
but tanx = sinx/cosx
= 2tanx / (1 +sin^2 x /cos^2x ) ----> Answer in 1st box
=2tanx /(sin^2 x +cos^2 x) /cos^2x
= 2tanx . cos^2x -------------> Answer in 2nd box
= 2 sinx/cosx. cos^2 x ----> Answer in third box
= 2sinx cosx ->4th box
= sin(2x)
L.H.S = R.H.S
so hence proved.
Verify the given identity. (Simplify your answers completely.) 2 tan.pdf
1. Verify the given identity. (Simplify your answers completely.) 2 tan (x)/1 + tam^2(x) = sin (2x)
Show that the left hand side of the equation is equivalent to the right hand side. 2 tan(x)/1 +
tan^1(x)
Solution
L.H.S = 2tan(x) / 1+tan^2 x
but tanx = sinx/cosx
= 2tanx / (1 +sin^2 x /cos^2x ) ----> Answer in 1st box
=2tanx /(sin^2 x +cos^2 x) /cos^2x
= 2tanx . cos^2x -------------> Answer in 2nd box
= 2 sinx/cosx. cos^2 x ----> Answer in third box
= 2sinx cosx ->4th box
= sin(2x)
L.H.S = R.H.S
so hence proved
