Question

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

Answer 1

Answer:

CotA=√15/7

Step-by-step 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: $Cot\theta =\frac{\sqrt{15} }{7}$

Step-by-step explanation:

Since, given $cosec\theta=\frac{8 }{7}$

And we know that $Cot\theta=\sqrt{cosec^2\theta-1}$

Therefore, $Cot\theta=\sqrt{cosec^2\theta-1} = \sqrt{(8/7)^2-1}= \sqrt{64/49-1}$

⇒$Cot\theta=\sqrt{64-49/49}=\sqrt{15/49}=\sqrt{15}/7$

Thus,  $Cot\theta =\frac{\sqrt{15} }{7}$