Question

If tan x + sin x = m and tan x - sin x = n , prove m^2 - n^2 = (mm) ^1/2

Answer 1

Answer:

proved

Step-by-step explanation:

tan x + sin x = m and tan x - sin x = n , prove m^2 - n^2 = (mm) ^1/2

m² - n² = 4 tanx sinx = 4 sin²xsecx

4√mn = 4√(tanx² - sinx²) = 4√sin^4 sec²x = 4sin²x secx

m² - n² = 4√mn