SSC CHSL 2023 PYQ — Question 64

SSC CHSL - 09 Aug 2023 - Shift 3 • Quantitative Aptitude • Q64

tanθ=34tanθ={3\over4} , find the value of expression 1+sinθ1−sinθ{1+sinθ }\over {1-sinθ}:

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 4.

Given, tanθ=34tanθ={3\over4}

⇒ P/B = 3/4

Now, H2 = P2 + B2

⇒ H2 = 9 + 16

⇒ H = 5

Now, 1+sinθ1−sinθ{1+sinθ }\over {1-sinθ}

⇒ 1+PH1−PH{1+{P\over H} }\over {1-{P \over H}}

⇒ 1+351−35{1+{3\over 5} }\over {1-{3 \over 5}} 

⇒ 8/2 = 4