Answer:
107.5
Step-by-step explanation:
The correct answer would be c
Recall that
![\cos^2\theta+\sin^2\theta=1\implies\cos\theta=\pm\sqrt{1-\sin^2\theta}](https://tex.z-dn.net/?f=%5Ccos%5E2%5Ctheta%2B%5Csin%5E2%5Ctheta%3D1%5Cimplies%5Ccos%5Ctheta%3D%5Cpm%5Csqrt%7B1-%5Csin%5E2%5Ctheta%7D)
But we're specifically told that cosine is negative, so we take the negative root above, and then
![\cos\theta=-\sqrt{1-\left(\dfrac34\right)^2}=-\dfrac{\sqrt7}4](https://tex.z-dn.net/?f=%5Ccos%5Ctheta%3D-%5Csqrt%7B1-%5Cleft%28%5Cdfrac34%5Cright%29%5E2%7D%3D-%5Cdfrac%7B%5Csqrt7%7D4)
Now,
![\csc\theta=\dfrac1{\sin\theta}=\dfrac43](https://tex.z-dn.net/?f=%5Ccsc%5Ctheta%3D%5Cdfrac1%7B%5Csin%5Ctheta%7D%3D%5Cdfrac43)
![\cot\theta=\dfrac{\cos\theta}{\sin\theta}=-\dfrac{\sqrt7}3](https://tex.z-dn.net/?f=%5Ccot%5Ctheta%3D%5Cdfrac%7B%5Ccos%5Ctheta%7D%7B%5Csin%5Ctheta%7D%3D-%5Cdfrac%7B%5Csqrt7%7D3)
Answer:
p=-36
Step-by-step explanation:
-18=p/2
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Multiply both sides by 2
-18(2)= p/2 (2)
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-36 = p
switch the sides of the equation
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p=-36
Ans: Option (1) <span>
Discontinuity at (1, 7), zero at ( negative four thirds , 0) </span>
Explanation:Given function:
![f(x) = \frac{3x^2 + x - 4}{x-1}](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%20%5Cfrac%7B3x%5E2%20%2B%20x%20-%204%7D%7Bx-1%7D%20)
Now if we plug in the x = 1, we would have discontinuity as function goes to infinity.
Now for f(1):