If sin α - cos α = m and sin 2 α = n - m 2 , where - 2 ≤ m ≤ 2 , then ' n ' is equal to

Step-by-step solution

Given that sin α - cos α = m and sin 2 α = n - m 2 , where - 2 ≤ m ≤ 2 , We know that, sin 2 α = 2 sin α cos α ⇒ 2 sin α cos α = n - sin α - cos α 2 ⇒ 2 sin α cos α = n - sin 2 α - cos 2 α + 2 sin α cos α ⇒ n = sin 2 α + cos 2 α Now, We know that, sin 2 α + cos 2 α = 1 ⇒ n = 1