Question

if tanx+sinx=m and tanx - sinx=n then prove that m^2-n^2=4sinxtanx​

Answer 1

Step-by-step explanation:

tanx+sinx=m

squaring both sides,

tan^2 x+sin^2 x +2tanxsinx=m^2

tan^2 x+sin^2 x -2tanxsinx=n^2

subtracting both..

2tanxsinx-(-2tanxsinx)=m^2-n^2

4tanxsinx=m^2-n^2

hense proved...