Mathematics
8 Online
OpenStudy (anonymous):
If cosθ= -15/13 and sin θ< 0, what is tan θ??
a.12/5
b. 13/5
c. -12/5
d. sqrt 194/5
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OpenStudy (kc_kennylau):
Use \(\cos^2\theta+\sin^2\theta=1\) to find \(\sin\theta\) first
OpenStudy (anonymous):
in the first theta i put -15/13? and the second i put (theta)<0?
OpenStudy (kc_kennylau):
\(\cos\theta\) is NOT \(\cos\) times \(\theta\)
OpenStudy (kc_kennylau):
\(\cos\theta\) is one entity; \(\sin\theta\) is one entity
OpenStudy (anonymous):
i dont understand im sorry im trying
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OpenStudy (kc_kennylau):
Treat \(\cos\theta\) as one thing instead of two things
OpenStudy (kc_kennylau):
And bear in mind the notation: \(\cos^2\theta=(\cos\theta)^2\)
OpenStudy (kc_kennylau):
So the formula would be \((\cos\theta)^2+(\sin\theta)^2=1\)
OpenStudy (kc_kennylau):
Substitute \(\cos\theta=-\dfrac{15}{13}\) inside to find the value of \(\sin\theta\)
OpenStudy (anonymous):
i got no solution -.-
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OpenStudy (kc_kennylau):
Oh, sorry, I forgot to check the validity
OpenStudy (kc_kennylau):
\(\cos\theta\) and \(\sin\theta\) must be between -1 and 1
OpenStudy (kc_kennylau):
So no solution
OpenStudy (anonymous):
so noww what do i do to find tan(theta)
OpenStudy (kc_kennylau):
You can't; theta doesn't even exist
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OpenStudy (anonymous):
so then what would the answer be?
:0
OpenStudy (anonymous):
13/5?
OpenStudy (kc_kennylau):
An answer doesn't exist
OpenStudy (anonymous):
i found out it was 12/5 idk how
OpenStudy (kc_kennylau):
No it isn't; it doesn't even exist
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OpenStudy (kc_kennylau):
Or did you mistype the question?
OpenStudy (anonymous):
nope my school just dont make sence