CUET General Test 2024 - If A = 45, then (3 - A) (2 + A) = | PYQs + Solutions

CUET General Test 2024

Geometry

Trigonometry

Medium

If $\sin A = \frac45$ , then $(3 - \tan A) (2 + \cos A) =$

\frac{12}{5}

\frac{13}{5}

\frac{11}{5}

3

✅ Correct Option: Drop

To present the solution in basic KaTeX format:

\sin A = \frac{4}{5}

\tan A = \frac{4}{3}

(3 - \tan A)(2 + \cos A) = \left(3 - \frac{4}{3}\right)\left(2 + \frac{3}{5}\right) = \frac{13}{3}

However, NTA didn't provide the correct answer in the option... and the question was dropped!