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n200080 [17]
3 years ago
5

Please Help Me With Functions!!!!!!

Mathematics
1 answer:
denpristay [2]3 years ago
3 0

Answer:

I don't know how to do it the question

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If sinA=√3-1/2√2,then prove that cos2A=√3/2 prove that
Ivan

Answer:

\boxed{\sf cos2A =\dfrac{\sqrt3}{2}}

Step-by-step explanation:

Here we are given that the value of sinA is √3-1/2√2 , and we need to prove that the value of cos2A is √3/2 .

<u>Given</u><u> </u><u>:</u><u>-</u>

• \sf\implies sinA =\dfrac{\sqrt3-1}{2\sqrt2}

<u>To</u><u> </u><u>Prove</u><u> </u><u>:</u><u>-</u><u> </u>

•\sf\implies cos2A =\dfrac{\sqrt3}{2}

<u>Proof </u><u>:</u><u>-</u><u> </u>

We know that ,

\sf\implies cos2A = 1 - 2sin^2A

Therefore , here substituting the value of sinA , we have ,

\sf\implies cos2A = 1 - 2\bigg( \dfrac{\sqrt3-1}{2\sqrt2}\bigg)^2

Simplify the whole square ,

\sf\implies cos2A = 1 -2\times \dfrac{ 3 +1-2\sqrt3}{8}

Add the numbers in numerator ,

\sf\implies cos2A =  1-2\times \dfrac{4-2\sqrt3}{8}

Multiply it by 2 ,

\sf\implies cos2A = 1 - \dfrac{ 4-2\sqrt3}{4}

Take out 2 common from the numerator ,

\sf\implies cos2A = 1-\dfrac{2(2-\sqrt3)}{4}

Simplify ,

\sf\implies cos2A =  1 -\dfrac{ 2-\sqrt3}{2}

Subtract the numbers ,

\sf\implies cos2A = \dfrac{ 2-2+\sqrt3}{2}

Simplify,

\sf\implies \boxed{\pink{\sf cos2A =\dfrac{\sqrt3}{2}} }

Hence Proved !

8 0
3 years ago
Greatest percent
cricket20 [7]

Answer:

Percent change from 15 to 18.

 

You need to divide the numbers, but which one goes on top?

 

You know the number increases from 15 to 18, so the percentage must be greater than 100%.

 

The only way to get a number greater than 100% is to put the larger number on top.

 

Therefore, the answer is 18/15 = 1.2

 

Multiply by 100 to get a %

 

1.2 * 100 = 120%

2. Calculate percentage change

from V1 = 5 to V2 = 8

ans= 60%

overall answer gain of 15 yards and 18 yards

8 0
2 years ago
Which choice is equivalent shown here x less than 0?
Usimov [2.4K]

Which choice is equivalent shown here x less than 0?

ANSWER:

D.

EXPLANATION:

I hope its help

6 0
3 years ago
The oblique pyramid has a square base.
Brums [2.3K]

Good evening ,

______

Answer:

the volume of the pyramid = 5cm³

___________________

Step-by-step explanation:

the volume of the pyramid = (b×h)/3 = (2²×3,75)/3 = (4×3,75)/3 = 15/3 = 5.

:)

6 0
3 years ago
A rocking horse has a weight limit of 60 pounds<br> what weight is 95 percent of the limit
nikitadnepr [17]

Answer:

The answer is  57.0095

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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