Answer:
I am pretty sure it is 300 (B)
btw nice Samsung laptop
Step-by-step explanation:
Answer:
33
Step-by-step explanation:
If you simplify what the question is saying, it's basically..
8 is 24% of <u>what number?</u>
To find out, you can simply set up an equation.
((24% = 0.24 as a decimal (move the decimal point two times to the left))
8 = 0.24 x N (N is just the 'whole')
To solve, you just need to divide 8 ÷ 0.24. So, N = 33.333 repeating.
The question says to round to the nearest whole number, so the answer would just be 33.
<u>ANSWER</u>
True
<u>EXPLANATION</u>
The given trigonometric equation is
![\tan^{2} (x) = \frac{1 - \cos(2x) }{1 + \cos(2x) }](https://tex.z-dn.net/?f=%20%5Ctan%5E%7B2%7D%20%28x%29%20%20%3D%20%20%5Cfrac%7B1%20-%20%20%5Ccos%282x%29%20%7D%7B1%20%2B%20%20%5Ccos%282x%29%20%7D%20)
Recall the double angle identity:
![\cos(2x) = \cos^{2} x - \sin^{2}x](https://tex.z-dn.net/?f=%20%5Ccos%282x%29%20%20%3D%20%20%5Ccos%5E%7B2%7D%20x%20-%20%20%20%5Csin%5E%7B2%7Dx)
We apply this identity to obtain:
![\tan^{2} (x) = \frac{1 - (\cos^{2} x - \sin^{2}x) }{1 + (\cos^{2} x - \sin^{2}x) }](https://tex.z-dn.net/?f=%5Ctan%5E%7B2%7D%20%28x%29%20%20%3D%20%20%5Cfrac%7B1%20-%20%28%5Ccos%5E%7B2%7D%20x%20-%20%20%20%5Csin%5E%7B2%7Dx%29%20%7D%7B1%20%2B%20%20%28%5Ccos%5E%7B2%7D%20x%20-%20%20%20%5Csin%5E%7B2%7Dx%29%20%7D%20)
We maintain the LHS and simplify the RHS to see whether they are equal.
Expand the parenthesis
![\tan^{2} (x) = \frac{1 - \cos^{2} x + \sin^{2}x }{1 + \cos^{2} x - \sin^{2}x}](https://tex.z-dn.net/?f=%5Ctan%5E%7B2%7D%20%28x%29%20%20%3D%20%20%5Cfrac%7B1%20-%20%5Ccos%5E%7B2%7D%20x%20%20%2B%20%20%5Csin%5E%7B2%7Dx%20%7D%7B1%20%2B%20%20%5Ccos%5E%7B2%7D%20x%20-%20%20%20%5Csin%5E%7B2%7Dx%7D%20)
![\implies\tan^{2} (x) = \frac{1 - \cos^{2} x + \sin^{2}x }{1 - \sin^{2}x + \cos^{2} x }](https://tex.z-dn.net/?f=%20%5Cimplies%5Ctan%5E%7B2%7D%20%28x%29%20%20%3D%20%20%5Cfrac%7B1%20-%20%5Ccos%5E%7B2%7D%20x%20%20%2B%20%20%5Csin%5E%7B2%7Dx%20%7D%7B1%20%20-%20%20%20%5Csin%5E%7B2%7Dx%20%20%2B%20%5Ccos%5E%7B2%7D%20x%20%7D%20)
Recall that:
![1 - \sin^{2}x = \cos^{2}x](https://tex.z-dn.net/?f=1%20%20-%20%20%20%5Csin%5E%7B2%7Dx%20%20%3D%20%20%5Ccos%5E%7B2%7Dx%20)
![1 - \cos^{2}x = \sin^{2}x](https://tex.z-dn.net/?f=1%20%20-%20%20%20%5Ccos%5E%7B2%7Dx%20%20%3D%20%20%5Csin%5E%7B2%7Dx)
We apply these identities to get:
![\implies\tan^{2} (x) = \frac{\sin^{2}x + \sin^{2}x }{\cos^{2} x + \cos^{2} x }](https://tex.z-dn.net/?f=%5Cimplies%5Ctan%5E%7B2%7D%20%28x%29%20%20%3D%20%20%5Cfrac%7B%5Csin%5E%7B2%7Dx%20%2B%20%20%5Csin%5E%7B2%7Dx%20%7D%7B%5Ccos%5E%7B2%7D%20x%20%2B%20%5Ccos%5E%7B2%7D%20x%20%7D%20)
![\implies\tan^{2} (x) = \frac{2\sin^{2}x }{ 2\cos^{2} x }](https://tex.z-dn.net/?f=%5Cimplies%5Ctan%5E%7B2%7D%20%28x%29%20%20%3D%20%20%5Cfrac%7B2%5Csin%5E%7B2%7Dx%20%7D%7B%202%5Ccos%5E%7B2%7D%20x%20%7D%20)
![\implies\tan^{2} (x) = \frac{\sin^{2}x }{ \cos^{2} x }](https://tex.z-dn.net/?f=%5Cimplies%5Ctan%5E%7B2%7D%20%28x%29%20%20%3D%20%20%5Cfrac%7B%5Csin%5E%7B2%7Dx%20%7D%7B%20%5Ccos%5E%7B2%7D%20x%20%7D%20)
![\implies \tan^{2} (x) =( \frac{\sin x }{ \cos x })^{2}](https://tex.z-dn.net/?f=%5Cimplies%20%5Ctan%5E%7B2%7D%20%28x%29%20%20%3D%28%20%20%5Cfrac%7B%5Csin%20x%20%7D%7B%20%5Ccos%20x%20%7D%29%5E%7B2%7D%20%20)
Also
![\frac{\sin x }{ \cos x } = \tan(x)](https://tex.z-dn.net/?f=%20%5Cfrac%7B%5Csin%20x%20%7D%7B%20%5Ccos%20x%20%7D%20%3D%20%20%5Ctan%28x%29%20)
![\implies \tan^{2} (x) =( \tan x )^{2}](https://tex.z-dn.net/?f=%5Cimplies%20%5Ctan%5E%7B2%7D%20%28x%29%20%20%3D%28%20%5Ctan%20x%20%29%5E%7B2%7D%20%20)
![\implies \tan^{2} (x) =\tan^{2} (x)](https://tex.z-dn.net/?f=%5Cimplies%20%5Ctan%5E%7B2%7D%20%28x%29%20%20%3D%5Ctan%5E%7B2%7D%20%28x%29%20)
Therefore the correct answer is True
Answer:
AC =29.86 units ; AB=30.91 units
Step-by-step explanation:
We are given with a right triangle ACB. Where <ACB is a right angle and <A is 15 degrees. Length of BC is 8.
Let's make triangle first then we can use trigonometric ratios to find AC and AB.
If you mean like a method to solve it fast here I have 1 solution I usually use;
3x2.7
3x.7=2.1
3x2=6
Then in the question there is 1 number behind the decimal point so the answer should have 1 number behind as well.
=8.1