If tanA+sinA=m and tanA−sinA=n then m2−n22mn is equal to
4
3
16
9
Since,
tanA+sinA=mand tanA−sinA=n∴ m+n=2tanAand m−n=2sinAAlso, mn=(tanA+sinA)(tanA−sinA) =tan2A−sin2ANow, m2−n22mn=(m+n)2(m−n)2mn=(2tanA)2(2sinA)2tan2A−sin2A=16tan2Asin2Asin2Atan2A=16