If sinθ - cosθ = \(\frac{17}{53}\), find the value of sinθ + cosθ .
Answer & explanation
Correct answer: option 4
⇒ sinθ - cosθ = \(\frac{17}{53}\)
⇒ \(\frac{P}{H}\) - \(\frac{B}{H}\) = \(\frac{17}{53}\)
⇒ \(\frac{P - B}{H}\) = \(\frac{17}{53}\)
Use triplets, (28, 45 , 53)
P = 28, B = 45 , H = 53
⇒ sinθ + cosθ = \(\frac{P}{H}\) + \(\frac{B}{H}\) = \(\frac{28}{53}\) + \(\frac{45}{53}\) = \(\frac{73}{53}\)