lisa1252 lisa1252
  • 07-06-2020
  • Mathematics
contestada

If tan a = 9/40
use trigonometric identities to find the values of sin a and cos a.​

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jimrgrant1 jimrgrant1
  • 07-06-2020

Answer:

see explanation

Step-by-step explanation:

Given

tan a = [tex]\frac{9}{40}[/tex] = [tex]\frac{opposite}{adjacent}[/tex]

We require the hypotenuse h

Using Pythagoras' identity

h² = 9² + 40² = 81 + 1600 = 1681 ( take square root of both sides )

h = [tex]\sqrt{1681}[/tex] = 41 , thus

sin a = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{9}{41}[/tex]

cos a = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{40}{41}[/tex]

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