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skelet666 [1.2K]
3 years ago
12

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

Mathematics
2 answers:
Marta_Voda [28]3 years ago
8 0
<span>tanΘ is given by the following equation:

</span>\frac{sin\theta}{cos\theta}
<span>
Plug in your known values into the formula:

</span>\frac{\frac{8}{17}}{\frac{-15}{17}} =  \frac{8}{17} \div \frac{-15}{17} = -\frac{8}{15}

tanΘ is equal to -8/15.
mixer [17]3 years ago
3 0
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
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