ISRO 2014 -Trigonometry [EE]

Question

If tan $\Theta$ = 8 / 15 and $\Theta$ is acute, then cosec $\Theta$
(A) 8 / 17

(B) 8 / 15

(C) 17 / 8

(D) 17 / 15

Answer 1

Option C is Correct.

Draw Acute angle Triangle and plot tan theta value as perpendicular / base i.e 8/15

Calculate hypotenuse using pythagorean theorem

and hypotenuse comes out to be 17.

so cosec is =1/sine theta = hypotenuse / perpendicular =17/8

Answer 2

Option c is right.