If sinθ - cosθ = \(\frac{7}{17}\), find the value of sinθ + cosθ

\(\frac{23}{17}\)

⇒ sinθ - cosθ = \(\frac{7}{17}\)

⇒ \(\frac{P}{H}\) - \(\frac{B}{H}\) = \(\frac{7}{17}\)

⇒ \(\frac{P - B}{H}\) = \(\frac{7}{17}\)

Use triplets, (8, 15, 17)

P = 15, B = 8, H = 17

⇒ sinθ + cosθ = \(\frac{P}{H}\) + \(\frac{B}{H}\) = \(\frac{15}{17}\) + \(\frac{8}{17}\) = \(\frac{23}{17}\)