Question

If sec θ + tan θ = m and sec θ – tan θ = n, find the value of .rootmn

Answer 1

♦Heya ♦

Sec² x - Tan² x =

( Sec x + Tan x ) × ( Sec x - Tan x )

Sec² x - Tan² x = m × n

Sec² x - Tan² x = mn

1 + Tan² x - Tan² x = mn

1 = mn

Taking Square root on both sides we have:)

√(mn) = √(1)

√(mn) = 1

NOTE:-

1) 1 + Tan² x = Sec² x

2) (a + b) × (a - b) = (a² - b² )

3) x = Theta:))