Question

find the value of csc theta if tan theta = 1/5 and cos theta 0

Answer 1

Answer:

$\sqrt{26}$

Step-by-step explanation:
To Find

cosec = $\frac{h}{p}$

Given,

tan= $\frac{p}{b}$ = 1/5

where

h = hypotenuse

p = perpendicular

b= base

using Pythagoras theorem,

$h^{2} = p^{2} + b^{2}\\ h = \sqrt{p^{2} + b^{2} } \\h = \sqrt{1^{2} + 5^{2} }$

h=$\sqrt{26}$

cosec = $\frac{\sqrt{26} }{1}$