Since θ is in Quadrant IV, then cosθ>0 and sinθ<0, making tanθ<0
Because cosθ = adjacent/hypotenuse = 8/9, then:
tanθ = opposite/adjacent
= -√(92-82)/8
= -√(81-64)/8
= -√(17)/8
Hope this helped!
AJ L.
tutor
To get the opposite side, you’d use the Pythagorean Theorem. a=sqrt(c^2-b^2) where c is the hypotenuse and b is the adjacent side to get the opposite side a.
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07/19/23
Kennedy H.
Where did the denominator come from
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07/19/23
AJ L.
tutor
The adjacent side is 8 from the cosine formula
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07/19/23
AJ L.
tutor
If you need more assistance with this topic, I suggest you schedule an appointment with me!
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07/19/23
Kennedy H.
Are you available saturday at 11:15 this weekend ?
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07/20/23
AJ L.
tutor
I sure am! You can book an appointment through my profile.
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07/20/23
AJ L.
tutor
Oh which time zone btw?
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07/20/23
Susan D.
Hi Kennedy, Ask an Expert is a platform for academic questions. If you need any assistance connecting with a tutor, please visit our Help Center at https://support.wyzant.com/hc/en-us, and ask your question. Or let our Customer Support department help you! Contact us at [email protected] and we will follow up as soon as we can.
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07/21/23
Kennedy H.
What was the formula07/19/23