Answer:
$156
Step-by-step explanation:
(9600 + 5376 )/ (8 * 12) = 156
Answer:
The exact value of cotФ is
Step-by-step explanation:
Given as:
The value of cosec Ф = ![\frac{-4}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B-4%7D%7B3%7D)
Let the value of cotФ = x
Now, According to question
∵ sinФ =
.....1
Put the value of cosec Ф =
in eq 1
i.e sinФ = ![\frac{1}{\frac{-4}{3} }](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B%5Cfrac%7B-4%7D%7B3%7D%20%7D)
Or, sinФ = ![\frac{-3}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B-3%7D%7B4%7D)
<u>Again</u>
∵ cosФ = ![\sqrt{1-sin^{2}\Theta }](https://tex.z-dn.net/?f=%5Csqrt%7B1-sin%5E%7B2%7D%5CTheta%20%7D)
So, cosФ = ![\sqrt{1-(\frac{-3}{4})^{2}}](https://tex.z-dn.net/?f=%5Csqrt%7B1-%28%5Cfrac%7B-3%7D%7B4%7D%29%5E%7B2%7D%7D)
Or, cosФ = ![\sqrt{1-(\frac{9}{16})}](https://tex.z-dn.net/?f=%5Csqrt%7B1-%28%5Cfrac%7B9%7D%7B16%7D%29%7D)
Or, cosФ = ![\sqrt{\frac{16 - 9}{16})}](https://tex.z-dn.net/?f=%5Csqrt%7B%5Cfrac%7B16%20-%209%7D%7B16%7D%29%7D)
∴ cosФ = ![\frac{\sqrt{7}}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B7%7D%7D%7B4%7D)
<u>Again</u>
we know that cotФ = ![\frac{cos\Theta }{sin\Theta }](https://tex.z-dn.net/?f=%5Cfrac%7Bcos%5CTheta%20%7D%7Bsin%5CTheta%20%7D)
So, cotФ = ![\frac{\frac{\sqrt{7}}{4}}{\frac{-3}{4}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cfrac%7B%5Csqrt%7B7%7D%7D%7B4%7D%7D%7B%5Cfrac%7B-3%7D%7B4%7D%7D)
Or, cotФ = ![\frac{-\sqrt{7}}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B-%5Csqrt%7B7%7D%7D%7B3%7D)
As according to question sinФ lies in third quadrant
So, cotФ = ![\frac{\sqrt{7}}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B7%7D%7D%7B3%7D)
Hence, The exact value of cotФ is
. Answer
Answer:
Infinite
Step-by-step explanation:
3(4x + 1) - 2
= 12x + 3 - 2 (Multiply the sum in the bracket by 3)
= 12x + 1 (Simplify)
This means that:
12x + 1 = 3(4x + 1) - 2
is the same as
12x + 1 = 12x + 1
Hence, anything that is used to substitute x is correct.
D. What must be true is the correct answer
Your answer would be 15 because 3 * 5 = 15 and 15 / 3 = 5. hope that helped