If sinθ - cosθ = \(\frac{31}{41}\), find the value of sinθ + cosθ
Answer & explanation
Correct answer: option 4
⇒ sinθ - cosθ = \(\frac{31}{41}\)
⇒ \(\frac{P}{H}\) - \(\frac{B}{H}\) = \(\frac{31}{41}\)
⇒ \(\frac{P - B}{H}\) = \(\frac{31}{41}\)
Use triplets, (9, 40, 41)
P = 40, B = 9, H = 41
⇒ sinθ + cosθ = \(\frac{P}{H}\) + \(\frac{B}{H}\) = \(\frac{40}{41}\) + \(\frac{9}{41}\) = \(\frac{49}{41}\)