Question

If csc theta= 8/7, which equation represents cot theta?

Answer 1

So CSC is 1/sin so if csc=8/7 that means sin=7/8
sin is opposite over hypotenuse so we have opposite is 7 and hypotenuse is 8

so
${7}^{2} + {x}^{2} = {8}^{2} \\ 49 + {x}^{2} = 64 \\ {x}^{2} = 15 \\ x = \sqrt{15}$
so we have an adjacent side of root 15 so cut is equal to cos/sin or 1/tan. so we get.
$\cot(x) = \frac{ \frac{ \sqrt{15} }{8} }{ \frac{7}{8} } = \frac{ \sqrt{15} }{7}$

Answer 2

Answer:the answer is cot theta = sqrt 15/7

Step-by-step explanation: