![\bf sin(x)[csc(x)-sin(x)]~~=~~cos^2(x) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ sin(x)\left[\cfrac{1}{sin(x)}-\cfrac{sin(x)}{1} \right]\implies \underline{sin(x)}\left[\cfrac{1-sin^2(x)}{\underline{sin(x)}} \right] \\\\\\ 1-sin^2(x)\implies cos^2(x)](https://tex.z-dn.net/?f=%5Cbf%20sin%28x%29%5Bcsc%28x%29-sin%28x%29%5D~~%3D~~cos%5E2%28x%29%20%5C%5C%5C%5C%5B-0.35em%5D%20%5Crule%7B34em%7D%7B0.25pt%7D%5C%5C%5C%5C%20sin%28x%29%5Cleft%5B%5Ccfrac%7B1%7D%7Bsin%28x%29%7D-%5Ccfrac%7Bsin%28x%29%7D%7B1%7D%20%5Cright%5D%5Cimplies%20%5Cunderline%7Bsin%28x%29%7D%5Cleft%5B%5Ccfrac%7B1-sin%5E2%28x%29%7D%7B%5Cunderline%7Bsin%28x%29%7D%7D%20%5Cright%5D%20%5C%5C%5C%5C%5C%5C%201-sin%5E2%28x%29%5Cimplies%20cos%5E2%28x%29)
recall again, sin²(θ) + cos²(θ) = 1.
Answer:
The other term is<u> (x-3)</u>
Step-by-step explanation:
The quadratic function is:

Factoring this function we will have:

Therefore, the other term is<u> (x-3).</u>
I hope it helps you!
Answer:
81/4
Step-by-step explanation:
I know this because I did this before
Answer:
10. 27 shoes
11. No, both are 18, they are equal
12. 96 dogs
13. 125 students
14. 600 students
15. 50 tulips
16. 70 cars
17. Rory divided the percentage by the number (#/%=#)
Step-by-step explanation:
To find a percentage of somethin, multiply the number by the percent
(54 shoes x 50% (0.50) = 27 shoes)
To find the original number, divide the new number by the percentage
(25 students/20% (0.20) = 125 students)