sin0cos0=1/2 then sin0+cos0=?
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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..
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..
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