Practicing Success
If sin θ - cos θ = $\frac{7}{17}$, then find the value of sinθ + cos θ. |
$\frac{8}{17}$ $\frac{23}{13}$ $\frac{23}{17}$ $\frac{8}{13}$ |
$\frac{23}{17}$ |
Concept used :- If (a)sinθ - (b)cosθ = c then (a)sinθ + (b)cosθ = c Hence, a² + b² = c² + d² sin θ - cos θ = \(\frac{7}{17}\) a = 1 , b = 1 & c = \(\frac{7}{17}\) 1² + 1² = ( \(\frac{7}{17}\))² + d² on solving, d = \(\frac{23}{17}\) So, sinθ + cosθ = \(\frac{23}{17}\) |