Question

Given that cosΘ=8/17 and sinΘ=-15/17 what is the value of tanΘ?

Answer 1

tanΘ is given by the following equation:


`(sin\theta)/(cos\theta)`

Plug in your known values into the formula:


`((8)/(17))/((-15)/(17)) = (8)/(17) / (-15)/(17) = -(8)/(15)`

tanΘ is equal to -8/15.

Answer 2

The first thing you should know for this case is the definition of the tangent.
We have then:
tanΘ = (sine Θ) / (cosΘ)
Substituting the values we have:
tanΘ = (-15/17) / (8/17)
Canceling similar terms we have:
tanΘ = -15/8
Answer:
the value of tanΘ is:
tanΘ = -15/8