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Alborosie
3 years ago
5

Can somebody help me with this (NUMBER 3)

Mathematics
1 answer:
Alenkinab [10]3 years ago
4 0

Answer:

ill help u if u help me cuz no one is ansering my qweshton plz answer my last queshton

Step-by-step explanation:

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Prove the trigonometric identity
Annette [7]

Answer:

Proved See below

Step-by-step explanation:

Man this one is a world of its own :D Just a quick question are you a fellow Add Math student in O levels i remember this question from back in the day :D Anyhow Lets get started

For this question we need to know the following identities:

1+tan^{2}x=sec^2x\\\\1+cot^2x=cosec^2x\\\\sin^2x+cos^2x=1

Lets solve the bottom most part first:

1-\frac{1}{1-sec^2x} \\\\

Take LCM

1-\frac{1}{1-sec^2x} \\\\\frac{1-sec^2x-1}{1-sec^2x} \\\\\frac{-sec^2x}{1-sec^2x} \\\\\frac{-(1+tan^2x)}{-tan^2x}

now break the LCM

\frac{-1}{-tan^2x}+\frac{-tan^2x}{-tan^2x}\\\\\frac{1}{tan^2x}+1\\\\cot^2x+1

because 1/tan = cot x

and furthermore,

cot^2x+1\\cosec^2x

now we solve the above part and replace the bottom most part that we solved with cosec^2x

\frac{1}{1-\frac{1}{cosec^2x} } \\\\\frac{1}{1-sin^2x} \\\\\frac{1}{cos^2x}\\\\sec^2x

Hence proved! :D

4 0
3 years ago
Pleaseee helpppp!!!!!!!!!!!!!!!!
SVETLANKA909090 [29]
The line g(x) has slope ...
  (change in y)/(change in x) = (-18 -(-20))/(1 - 0) = 2
so can be written in slope-intercept form as
  g(x) = 2x -20

The x-intercept of this line is at x=10.
  0 = 2x -20 . . . . the x-intercept is where g(x) = 0
  20 = 2x
  10 = x

The circle also intersects the x-axis at x=10, so that will be one point that is shared by the circle and g(x). A graph shows there is also another point of intersection, (6, -8).

Yes, the linear function g(x) will intersect the circle at 2 points with positive x-coordinates.

5 0
3 years ago
4. For graduation, Diamond was able to buy her first car for $24,000. Her parents gave her a present and made a
s344n2d4d5 [400]

Answer:

$403.15

Step-by-step explanation:

Principal loan amount is the total amount minus down-payment:

Principal=24000-1000\\\\=23000

Knowing that n=12\times 6=72,P=23000, r=7.99\%/12=0.006658, the monthly payments can be calculated using the formula:

M=P[\frac{r(1+r)^n}{(1+r)^n-1}]\\\\=23000\frac{(0.006658(1.006658)^{72}}{1.006658^{72}-1}\\\\=403.15

Hence, the monthly payment is $403.15

3 0
3 years ago
-8(3 - 4v) + 8v = 9v + 3 what is the answer?
gavmur [86]

Answer:

My sister and her sister and my mom are so adorable I love her and

Step-by-step explanation: was the name wrong I was talking to him about it haha is that a little

Kidsss was a great night out and this is what I

4 0
3 years ago
Where can I contact the CEO of brainly I feel like they should allow more then 2 answers per question to create a more variety o
Alexandra [31]

Answer:

thats why they put premium

Step-by-step explanation:

;(

8 0
3 years ago
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