If sinθ - cosθ = \(\frac{17}{25}\), find the value of sinθ + cosθ

\(\frac{31}{25}\)

⇒ sinθ - cosθ = \(\frac{17}{25}\)

⇒ \(\frac{P}{H}\) - \(\frac{B}{H}\) = \(\frac{17}{25}\)

⇒ \(\frac{P - B}{H}\) = \(\frac{17}{25}\)

Use triplets, (7, 24, 25)

P = 24, B = 7, H = 25

⇒ sinθ + cosθ = \(\frac{P}{H}\) + \(\frac{B}{H}\) = \(\frac{24}{25}\) + \(\frac{7}{25}\) = \(\frac{31}{25}\)