littlemisshelper
littlemisshelper littlemisshelper
  • 22-12-2018
  • Mathematics
contestada

Given sin(−θ)= −1/4 and tanθ= 15√15 .

What is the value of cosθ ?

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legomyego180
legomyego180 legomyego180
  • 22-12-2018

[tex] \sin = \frac{y}{r} \\ \\ \tan = \frac{y}{x} \\ \\ \cos = \frac{x}{r} \\ \\ {x}^{2} + {y}^{2} = {r}^{2} [/tex]

[tex] - \sin = \frac{ - 1 \: = \: y}{4 \: = \: r} [/tex]
[tex]15 \sqrt{15} = \frac{1}{x} \\ \\ x = .017[/tex]
[tex] \cos = \frac{.017}{4} = .0043[/tex]
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