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3 years ago

Simplify square root of (1-cos)(1+cos)/cos^2

Mathematics

1 answer:

Pavel [41]3 years ago

3 0

I hope this helps you

(1-cosx)(1+cosx)=1+cosx-cosx-cos²x=1-cos²x=sin²x

sin²x
____
cos²x

tg²x

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In the equation (x^2+y)^5, what is the coefficient of the term x^4y^3? what is the coefficient of the same term in the expansion

lys-0071 [83]

$\displaystyle
(x+y)^n=\sum_{k=0}^n\binom{n}{k}x^{n-k}y^k$

-------------------------------------------------------------

$\displaystyle
(x^2+y)^n=\sum_{k=0}^n\binom{n}{k}x^{2n-2k}y^k\\
n=5\\
k=3\\\\\binom{5}{3}=\dfrac{5!}{3!2!}=\dfrac{4\cdor5}{2}=10$

It's 10.

----------------------------------------------------

$\displaystyle
(3x^2+y)^n=\sum_{k=0}^n\binom{n}{k}(3x)^{2n-2k}y^k=\sum_{k=0}^n\binom{n}{k}\cdot 3^{2n-2k}\cdot x^{2n-2k}y^k\\\\
n=5\\
k=4\\\\
\binom{5}{3}\cdot3^{2\cdot5-2\cdot4}=10\cdot3^{2}=10\cdot9=90$

It's 90

6 0

3 years ago

After lunch, you see the bumper cars and want to ride them. Here’s what the sign says:

NemiM [27]

Answer:

The option of 6 minutes with 8 tickets given more time for the money.

Step-by-step explanation:

Which one gives you more time for your money?

We have to find the time per ticket, which is the number of minutes divided by the number of tickets.

6 minutes: 8 tickets

6/8 = 0.(60/8) = 0.75 minutes per ticket.

8 minutes:12 tickets

8/12 = 2/3 = 0.(20/3) = 0.667 minutes per ticket.

So the option of 6 minutes with 8 tickets given more time for the money.

7 0

3 years ago

Estimate the quotient 2:312

tatuchka [14]

The answer is 160 because 312÷2 equals 156 and 156 is closer to 160 than 150

4 0

3 years ago

Kadeem earns a salary of $1,800 per month plus a 10% commission on his sales. In order to save money for the down payment on a h

docker41 [41]

I'm guessing 99.65
1800+10%-20%-25%=99.65
but it probably wrong

5 0

3 years ago

Read 2 more answers

HELP NEED IT PLEASE UGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGG

ra1l [238]

Answer:

Step-by-step explanation:

to get sides JK and ML, you have to use ratios. the ratio is 3:2 so therefor ml and jk are 4.5

Then you add 4.5 and 4.5 and 3 and 3 to get you 15

3 0

3 years ago