SSC CGL 2022 PYQ — Question 74

SSC CGL - 20 April 2022 - Shift 2 • Quantitative Aptitude • Q74

If tan B = 53\frac{5}{3}, what is the value of cossecB+sinBcosB−secB\frac{cossecB+sinB}{cosB-secB}?

Show answer & explanation

Correct answer: A

Explanation

 The correct answer is option 1 i.e.  -177125\frac{177}{125}

tan B = 5/3

⇒ P/B = 5/3

Now, H2 = 52 + 32

⇒ H = (34)½

Now, cossecB+sinBcosB−secB\frac{cossecB+sinB}{cosB-secB} = (34)½/5 + 5/(34)½ / 3/(34)½ - (34)½/3 = - 177/25