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Helen [10]
3 years ago
15

Cot y, if csc y =-10/3 and cos y< 0

Mathematics
1 answer:
fredd [130]3 years ago
7 0
\csc y=-\dfrac{10}3\implies\sin y=-\dfrac3{10}

\cos^2y=1-\sin^2y\implies \cos y=\pm\sqrt{1-\dfrac9{100}}=\pm\dfrac{\sqrt{91}}{10}

You're told that \cos y, so omit the positive root.

\cot y=\dfrac{\cos y}{\sin y}=\dfrac{-\frac{\sqrt{91}}{10}}{-\frac3{10}}=\dfrac{\sqrt{91}}3
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