The y-intercept of a line is where the line goes across the y line.
Does that answer your question?
Hello,
Please, see the detailed answer in the attached files.
Thanks.
Answer:
D. 1
Step-by-step explanation:
We have the expression, ![\frac{\csc^{2}x\sec^{2}x}{\sec^{2}x+\csc^{2}x}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ccsc%5E%7B2%7Dx%5Csec%5E%7B2%7Dx%7D%7B%5Csec%5E%7B2%7Dx%2B%5Ccsc%5E%7B2%7Dx%7D)
We get, eliminating the cosecant function,
![\frac{\sec^{2}x}{\frac{\sec^{2}x}{\csc^{2}x}+1}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csec%5E%7B2%7Dx%7D%7B%5Cfrac%7B%5Csec%5E%7B2%7Dx%7D%7B%5Ccsc%5E%7B2%7Dx%7D%2B1%7D)
As, sinx is reciprocal of cosecx and cosx is reciprocal of secx,
i.e. ![\frac{\sec^{2}x}{\frac{\sin^{2}x}{\cos^{2}x}+1}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csec%5E%7B2%7Dx%7D%7B%5Cfrac%7B%5Csin%5E%7B2%7Dx%7D%7B%5Ccos%5E%7B2%7Dx%7D%2B1%7D)
i.e. ![\frac{1}{\cos^{2}x}\times \frac{\cos^{2}x}{\sin^{2}x+\cos^{2}x}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B%5Ccos%5E%7B2%7Dx%7D%5Ctimes%20%5Cfrac%7B%5Ccos%5E%7B2%7Dx%7D%7B%5Csin%5E%7B2%7Dx%2B%5Ccos%5E%7B2%7Dx%7D)
Since, we know that, ![\sin^{2}x+\cos^{2}x=1](https://tex.z-dn.net/?f=%5Csin%5E%7B2%7Dx%2B%5Ccos%5E%7B2%7Dx%3D1)
Thus,
![\frac{1}{\cos^{2}x}\times \frac{\cos^{2}x}{\sin^{2}x+\cos^{2}x}=1](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B%5Ccos%5E%7B2%7Dx%7D%5Ctimes%20%5Cfrac%7B%5Ccos%5E%7B2%7Dx%7D%7B%5Csin%5E%7B2%7Dx%2B%5Ccos%5E%7B2%7Dx%7D%3D1)
So, after simplifying, we get that the result is 1.
Hence, option D is correct.
35 is the first answer (BAE ~ DAC)
36. We must divide 20 by 2 to get 10 because all the other sides are 2x the size. 3x-5=10 (Add 5) 3x=15 (Divide by 3) x=5 so the last answer choice is correct.
there are 3200 children in the summer camp.
Step-by-step explanation:
Percentage of boys in summer camp= 48%
No of boys in summer camp=1536 boys
Total number of children in summer camp= ![\frac{1536}{48}*100\\ =3200](https://tex.z-dn.net/?f=%5Cfrac%7B1536%7D%7B48%7D%2A100%5C%5C%20%3D3200)
So, there are 3200 children in the summer camp.
Keywords: Word Problems having Percentage
Learn more about word problems at:
#learnwithBrainly