If sinθ - cosθ = \(\frac{17}{25}\), find the value of sinθ + cosθ
Answer & explanation
Correct answer: option 3
⇒ 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 = \(\frac{P}{H}\) + \(\frac{B}{H}\) = \(\frac{24}{25}\) + \(\frac{7}{25}\) = \(\frac{31}{25}\)