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Dkprincess Dkprincess
  • 29-03-2016
  • Mathematics
Answered

If sine of x equals square root of 2 over 2, what is cos(x) and tan(x)? Explain your steps in complete sentences.

Verified Answer :

slevo
slevo slevo
  • 29-03-2016

sin\(x\)=\(\frac{opposite}{hypotenuse}\) =\(\frac{ \sqrt{2} }{2}\)
     opposite=\(\sqrt{2}\)
     hypotenuse=2

\(Adjacent^{2}\)+\((\sqrt{2 })^{2 }\)= \(2 ^{2}\)
\(Adjacent^{2}\)+2=4
\(Adjacent^{2}\)=2 
Adjacent=\(\sqrt{2}\)

cos\(x\)=\(\frac{ajc}{hyp}= \frac{ \sqrt{2} }{2}\)
Tan\(x\)=\(\frac{opp}{adj} = \frac{ \sqrt{2} }{ \sqrt{2} }\)

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