Question

1. sino - cos40 = 1 - 2 cos²0​

Answer 1

Answer:

If

sin(α)cos(α) = 1/2

then,

2sin(α)cos(α) = 1

Now, sin(α) + cos(α) = X (let)

Squaring both sides,

{sin(α) + cos(α)}² = X²

I. e. sin^²(α) + cos^²(α) +2sin(α)cos(α) = X²

1 + 1 = (X)²

X = √2

or,

Sin(α) + Cos(α) = √2

If, Sin(α)Cos(α) = 1/2

Hope It Helps..

Step-by-step explanation: