Answer:
(5, 2 )
Step-by-step explanation:
Under a reflection in the x- axis
a point (x, y ) → (x, - y ), thus
P(5, - 2 ) → P'(5, - (- 2)) → P'(5, 2 )
The answer to this question would be: 2*52! -1
In this case, the card is either picked up by Naoko or they are not picked up. That means there are two possible outcomes for each card. For 52 card, the possibility should be:
2*52!
If Naoko needs to pick at least one, the possibilities become one less because "no card picked" possibility is ruled out
We will start off working on the right hand side.
<span>cot x - tan x </span>
<span>= [cos x / sin x] - [sin x / cos x] </span>
<span>= [(cos x)^ 2 - (sin x)^2] / [sin x cos x] </span>
<span>This is where it gets a bit tougher if you do not have your formula list with you. </span>
<span>(cos x)^ 2 - (sin x)^2 = cos(2x) </span>
<span>sin 2x = 2 sin x cos x </span>
<span>Note that by arranging the second formula, we will have sin x cos x = (1/2) sin 2x </span>
<span>Hence, we will get: </span>
<span>[(cos x)^ 2 - (sin x)^2] / [sin x cos x] </span>
<span>= [cos 2x] / (1/2)[sin 2x] </span>
<span>= 2[cos 2x] / [sin 2x] </span>
<span>= 2cot 2x </span>
Answer:
0, 1, 1/2, 22/7, 12345/67, and so on.
Step-by-step explanation:
i just took the test!