If sinθ - cosθ = \(\frac{7}{13}\), find the value of sinθ + cosθ
Answer & explanation
Correct answer: option 4
⇒ sinθ - cosθ = \(\frac{7}{13}\)
⇒ \(\frac{P}{H}\) - \(\frac{B}{H}\) = \(\frac{7}{13}\)
⇒ \(\frac{P - B}{H}\) = \(\frac{7}{13}\)
Use triplets, (5, 12, 13)
P = 12, B = 5, H = 13
⇒ sinθ + cosθ = \(\frac{P}{H}\) + \(\frac{B}{H}\) = \(\frac{12}{13}\) + \(\frac{5}{13}\) = \(\frac{17}{13}\)