![\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:
Right
Step-by-step explanation:
For a contrapositive, we switch the hypothesis and conclusion and then negate it.
Switch
If it is a tree, then it is an elm
Negate
If it is not a tree, then it is not an elm.
Not tree belongs inside not elm
Right
Take the price of the cheese stick then divide that by the old price. you will get a decimal. New divided by old. You should have some decimal that is 1.something. If its a percent increase of 64 percent you'd have 1.64 as the decimal. good luck.
Answer:
5.25 represents the cost of each radio
Step-by-step explanation:
Answer:
Step-by-step explanation:
If she travels by air, she will be able to work seven hours in D.C. work four hours once there. Her expected income from each hour of work in D.C. is $40. This means that the total amount that she earns in 7 hours would be
40 × 7 = $280
if she drives, she will only have time to work four hours once there. This means that the total amount that she earns in 4 hours would be
40 × 4 = $160
The difference in both amounts would be
280 - 160 = $120
she will chose to fly if and only if the price differential (air cost minus driving cost) is less than $120
