gregjlewis562
gregjlewis562 gregjlewis562
  • 11-07-2022
  • Mathematics
contestada

cos theta=8/17. Find tan theta

A. 15/8
B. 15/17
C. 17/15
D. 8/15​

cos theta817 Find tan thetaA 158B 1517C 1715D 815 class=

Respuesta :

fph3957
fph3957 fph3957
  • 11-07-2022

Answer:

A) [tex]\frac{15}{8}[/tex]

Step-by-step explanation:

remember Soh Cah Toa!!

[tex]sin=\frac{opposite}{hypotenuse}\\ cos=\frac{adjacent}{hypotenuse} \\tan=\frac{opposite}{adjacent} \\\\cos=\frac{8}{17}\\\\a^2+b^2=c^2\\8^2+b^2=17^2\\64+b^2=289\\b^2=225\\\sqrt{b^2} =\sqrt{225}\\b=15=opposite\\\\tan=\frac{15}{8}[/tex]

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