Practicing Success
If sinθ - cosθ = \(\frac{17}{53}\), find the value of sinθ + cosθ . |
\(\frac{73}{34}\) \(\frac{25}{53}\) \(\frac{53}{73}\) \(\frac{73}{53}\) |
\(\frac{73}{53}\) |
⇒ 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 = \(\frac{P}{H}\) + \(\frac{B}{H}\) = \(\frac{28}{53}\) + \(\frac{45}{53}\) = \(\frac{73}{53}\) |