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hotlop6elloyd
hotlop6elloyd hotlop6elloyd
  • 14-06-2016
  • Mathematics
Answered

If tan (theta) =5/4 and cos (theta) < 0 . Find the other trig. functions.

Could someone check my answers?

Verified Answer :

HomertheGenius
HomertheGenius HomertheGenius
  • 19-06-2016

tan(theta) = 5/4
sin(theta)/cos (theta)=5/4
cos(theta)=4sin(theta)/5
sin²(theta)+cos²(theta)=1
sin²(theta)+16sin²(iheta)/25=1  /*25
25 sin²(theta)+16 sin²(theta)=25
sin²(theta)=25/41    /√
sin(theta)=\(\frac{-5 \sqrt{41} }{41}\)
cos(theta)=\(\frac{-4 \sqrt{41} }{41}\)
cot(theta)=\(\frac{4}{5}\)
csc(theta)=1/sin(theta)=\(\frac{- \sqrt{41} }{5}\)
sec(theta)=1/cos(theta)=\(\frac{- \sqrt{41} }{4}\)

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