Processing math: 77%
Home / Aptitude Tests / Mathematics / If cot \(\theta...
If cot θ = xy, find cosec\(\theta...

If cot θ = xy, find cosecθ

A.

1y(x2 + y2)

B.

xy

C.

1yx2+y2

D.

xyy

Correct answer is C

cotθ=xy

tanθ=yx

opp=y;adj=x

Using Pythagoras theorem, Hyp2=Opp2+Adj2

Hyp2=y2+x2

Hyp=y2+x2

sinθ=yy2+x2

= \frac{1}{y}(\sqrt{y^{2} + x^{2}})