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16felixk
16felixk 16felixk
  • 18-07-2016
  • Mathematics
Answered

If tan theta= 12/5 and cos = -5/13, then what is sin theta?

Verified Answer :

dalendrk
dalendrk dalendrk
  • 18-07-2016

\(\tan\theta=\dfrac{12}{5}\\\\\cos\theta=-\dfrac{5}{13}\\\\\tan x=\dfrac{\sin x}{\cos x}\\\\\tan x\cdot\cos x=\dfrac{\sin x}{\cos x}\cdot\cos x=\sin x\\\\\sin\theta=\dfrac{12}{5}\cdot\left(-\dfrac{5}{13}\right)=-\dfrac{12}{13}\)

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monkeyjadejn monkeyjadejn
  • 15-12-2021

Answer:

-12/13

Step-by-step explanation:

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