zpotato78 zpotato78
  • 16-05-2018
  • Mathematics
contestada

tanθ=sinθ/cosθ

True or False

Respuesta :

jushmk
jushmk jushmk
  • 25-05-2018
If;
A = Adjacent
O = Opposite
H = Hypotenuse

Then,
Sin Ф = O/H
Cos Ф = A/H
Therefore,
(Sin Ф)/Cos Ф) = (O/H)/(A/H) = (O/H)*(H/A) = O/A

Now,
tan Ф = O/A ----

Therefore, it is true that
tan Ф = SinФ/CosФ
Answer Link
CastleRook
CastleRook CastleRook
  • 25-05-2018
Take a right angled triangle  with side lengths x, y, and z, where x is the hypotenuse.
sin θ=z/x
cos θ=y/x
sinθ/cosθ=(z/x)/(y/x)=z/y=tan θ
the statement is true.

Answer Link

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