Question

If csc 0=8÷7 which equation represents cot 0

Answer 1

CotA=√15/7

Explanation:

cosecA=8/7=hypotenuse/perpendicular

We have to find cotA

We do this by right angled triangle

We use pythagoras theorem to find the base

Base²+Perpendicular²=hypotenuse²

Base²+7²=8²

Base²=15

Base=√15

cotA=Base/Perpendicular

= √15/7

Answer 2

Answer:
`Cot\theta =(√(15) )/(7)`

Explanation:

Since, given
`cosec\theta=(8 )/(7)`

And we know that
`Cot\theta=√(cosec^2\theta-1)`

Therefore,
`Cot\theta=√(cosec^2\theta-1) = √((8/7)^2-1)= √(64/49-1)`

⇒
`Cot\theta=√(64-49/49)=√(15/49)=√(15)/7`

Thus,
`Cot\theta =(√(15) )/(7)`