It is given that x and y are acute angles such that sin(x-y) = 4/5 and sin x cos y = 9/10.
Show that
(ai)sin(x+y) = 1
(aii)tan x = 9 tan y
using the answers from part (a), find the value of
tan x.
I do not know how to find tan x. the above 2 questions are only meant to aid you in finding the correct answer for tan x.
Please help. thanks
Hi,
From (ai), you obtain cos x sin y = 1/10.
=> tan y = 1 / (10 cos x sin y) = 1 / (10 . (1/10)) = 1.
With (aii), you can find tan x.
Thanks!
Cheers,
Wen Shih