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Zarrin [17]
3 years ago
13

Verify the identity sin^2x = cos^2x sec^2x-cos^2x

Mathematics
1 answer:
wlad13 [49]3 years ago
7 0

Answer:

Step-by-step explanation:

The right side of the identity

cos^{2} x sec^{2} x  -  cos^{2} x\\= cos^{2} x (\frac{1}{cos^{2} x} ) - cos^{2} x\\= 1 - cos^{2} x\\= sin^{2} x

which is the same as the left side of the identity

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The sum of two numbers is 65 and the difference is 13.what are the numbers?
Karolina [17]

Answer: 26 and 39

Step-by-step explanation:

Let the numbers be x and y . Also , let us take x as the larger number.

From the first statement :

x + y = 65 ...................... equation 1

From the second statement :

x - y = 13 ....................... equation 2

Solving the system of linear equation by elimination method. Let us eliminate y first , then we need to add the two equations to eliminate y , the equation then becomes

2x = 78

x =39

substitute x = 39 into equation 1 , that is

39 + y = 65

y = 65 - 39

y = 26

Therefore , the numbers are 26 and 39

3 0
4 years ago
How's everyone doing?<br>(this used to be a math question but I just solved it myself)
guapka [62]

I'm good. Thx for asking bro! Have a splendid day :)

4 0
3 years ago
Solve for t in the equation <br> D=rt
nikdorinn [45]

D=rt\\\\t=\dfrac{D}{r}

5 0
4 years ago
Read 2 more answers
How much interest does a $9.66 investment earn at 10% over eight years?
strojnjashka [21]

Answer:

$7.73

Step-by-step explanation:

First you have to find the interest earned in one year, which is 9.66 times 0.10 = 0.966

Next, you have to multiply that product by eight years since the investment was over a span of eight years. That product equals to 7.72800, and if we are speaking in terms of money, we can round it to $7.73

8 0
3 years ago
Hey guys, I need help with this word problem. I don't just want the answer. I would like the steps please!
ASHA 777 [7]
So, you take the equation for y given, y=0.28x+5.92. Then you substitute the values for x in, like so: 
y=0.28(2)+5.92=6.42
y=0.28(5)+5.92=7.17
y=0.28(8)+5.92=7.92
So There's your table. Next:
7.88=0.28x+5.92
x=7, so the year when admission was approximately $7.88 is year 7. 
Next, 
10.04=0.28x+5.92
x=<span>14.7142857143, which rounds to year 15. 
I hope this helps!</span>
7 0
3 years ago
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