If $5 \cos \theta - 12 \sin \theta = 0$, then what is the value of $\frac{1 + \sin \theta + \cos \theta}{1 - \sin \theta + \cos \theta}$
Answer & explanation
Correct answer: option 2
5cosθ - 12 sinθ = 0
tanθ = \(\frac{5}{12}\)
By using pythagoras theorem ,
P² + B² = H²
5² + 12² = H²
H = 13
Now,
\(\frac{1 + sinθ + cosθ}{1 - sinθ + cosθ}\)
= \(\frac{1 + P/H + B/H}{1 - P/H + B/H}\)
= \(\frac{13 + 5 + 12}{13 - 5 + 12}\)
= \(\frac{30}{20}\)
= \(\frac{3}{2}\)