If tan(t) = 3over7 , t is an acute angle, then what is the…

If tan(t) = $3\over7$ , t is an acute angle, then what is the value of cosec(t)?

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. $\sqrt{58}\over3$ .

We know,

tan A = Perpendicular/Base

cosec A = Hypotenuse/perpendicular

Now,

tan (t) = 3/7

Using the Pythagorean theorem,

Hypotenuse² = Base² + Perpendicular²

⇒ Hypotenuse² = 7² + 3² = 58

⇒ Hypotenuse = √58

Cosec (t) = Hypotenuse/perpendicular = √58/3

SSC CHSL 2024 PYQ — Question 64