Answer:
Step-by-step explanation:
1.
cot x sec⁴ x = cot x+2 tan x +tan³x
L.H.S = cot x sec⁴x
=cot x (sec²x)²
=cot x (1+tan²x)² [ ∵ sec²x=1+tan²x]
= cot x(1+ 2 tan²x +tan⁴x)
=cot x+ 2 cot x tan²x+cot x tan⁴x
=cot x +2 tan x + tan³x [ ∵cot x tan x 
=1]
=R.H.S
2.
(sin x)(tan x cos x - cot x cos x)=1-2 cos²x
L.H.S =(sin x)(tan x cos x - cot x cos x)
= sin x tan x cos x - sin x cot x cos x
= sin²x -cos²x
=1-cos²x-cos²x
=1-2 cos²x
=R.H.S
3.
1+ sec²x sin²x =sec²x
L.H.S =1+ sec²x sin²x
=
[
]
=1+tan²x ![[\frac{\textrm{sin x}}{\textrm{cos x}} = \textrm{tan x}]](https://tex.z-dn.net/?f=%5B%5Cfrac%7B%5Ctextrm%7Bsin%20x%7D%7D%7B%5Ctextrm%7Bcos%20x%7D%7D%20%3D%20%5Ctextrm%7Btan%20x%7D%5D)
=sec²x
=R.H.S
4.
L.H.S=
= 2 csc x
= R.H.S
5.
-tan²x + sec²x=1
L.H.S=-tan²x + sec²x
= sec²x-tan²x
=
=1
Answer: 1.25n
=======================================================
Explanation:
Erica sells bracelets for $2 each. If she makes and sells n of them, then she gets 2n dollars of revenue.
Making n bracelets cost her a total of 0.75n dollars because each bracelet costs 0.75 dollars, or 75 cents.
Subtract the revenue and cost to get the profit
profit = revenue - cost
profit = 2n - 0.75n
profit = (2-0.75)n
profit = 1.25n
The expression 1.25n means that she earns $1.25 in profit per bracelet sold.
<u>Answer:</u>
42%
<u>Step-by-step explanation:</u>
We know that the number of times red side is faced up = 21; and
the total number of times colored chip is thrown = 50
Frequency of red side = (No of times red side is faced up / Total number of times colored chip is thrown) * 100%
Frequency of red side = (21 / 50) * 100% = 0.42 * 100 = 42%
Therefore, the relative frequency of the chip landing with the red side facing up is 42%.
Answer:
the part of mathematics in which letters and other general symbols are used to represent numbers and quantities in formulae and equations.
Step-by-step explanation:
Answer:
Point C
Step-by-step explanation:
negative means go left on the x axis and negative on the y axis means go down. Sorry if this explanation doesn't help much.
