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butalik [34]
3 years ago
7

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

Mathematics
2 answers:
qwelly [4]3 years ago
7 0
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}
xz_007 [3.2K]3 years ago
3 0

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

Step-by-step explanation:

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