In ΔABC, if ∠B = 90&

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Home Questions U7A238FHPU

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

In ΔABC, if ∠B = 90°, AB = 21, BC = 20 cm. Find \(\frac{1 + SinA - 2}{1 + SinA + 2}\).

Options:

\(\frac{-2}{27}\)

\(\frac{2}{27}\)

\(\frac{3}{29}\)

\(\frac{4}{27}\)

Correct Answer:

\(\frac{-2}{27}\)

Explanation:

(Triplet → 20, 21, 29)

⇒ \(\frac{1 + sinA -2}{1 + sinA + 2}\) = \(\frac{1 + \frac{21}{29} - 2}{1 + \frac{21}{29} + 2}\)

⇒ \(\frac{\frac{50 - 58}{29}}{\frac{50 + 58}{29}}\) = \(\frac{-8}{108}\) = \(\frac{-2}{27}\)