Solve the simultaneous equations sin x. cos y = 1/4 & 3 tan x = tan y.
Ans: x = -π/6 + (k + l)π ; k,l belong to Z
y = 2π/3 + (k - l)π ; k, l belong to Z
The approach to the problem is very direct. There is no difficulty in solving it. However, there seems to be a conflict with the given answer and my answer. Solving, I got two equations: x + y = kπ + (-1)^k * π/2
x - y = lπ - (-1)^l * π/6
Proceeding further, my answers dont match with the given solutions.
would you mind if you write your complete solution?
x = (k + l)π/2 + (-1)^k * π/4 - (-1)^l * π/12
y = from x
the previous post was in response to kalagota's request.
i was expecting the one before you came with x+y and x-y..
anyways, try to follow what colby wrote.. but take note of the last two steps..
+/-, forgot to put that in there, thanks kalagota(Clapping)
Originally Posted by kalagota