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:

$\frac{sin\theta}{cos\theta}$

Plug in your known values into the formula:

$\frac{\frac{8}{17}}{\frac{-15}{17}} = \frac{8}{17} \div \frac{-15}{17} = -\frac{8}{15}$

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