tanyal226 tanyal226
  • 15-08-2020
  • Mathematics
contestada

Find the exact value of tan A in simplest radical form.

Find the exact value of tan A in simplest radical form class=

Respuesta :

akposevictor
akposevictor akposevictor
  • 20-08-2020

Answer:

[tex]tan(A) = \frac{2\sqrt{15}}{11}[/tex]

Step-by-step explanation:

Given:

Right ∆ABC

AB = 61

BC = 60

AC = 11

Required:

Value of tan A in radical form

SOLUTION:

[tex] tan(A) = \frac{opposite}{adjacent} [/tex]

Opposite = 60

Adjacent = 11

[tex] tan(A) = \frac{60}{11} [/tex]

[tex] tan(A) = \frac{\sqrt{4*15}}{11} [/tex]

[tex]tan(A) = \frac{2\sqrt{15}}{11}[/tex]

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