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3 years ago

What's the numerator for the following rational expression?

Mathematics

1 answer:

Dmitry [639]3 years ago

4 0

Answer:

e+9

Step-by-step explanation:

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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 .

Given :-

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

To Prove :-

• $\sf\implies cos2A =\dfrac{\sqrt3}{2}$

Proof :-

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

Max has formed an e-pal relationship with Elena in Italy. Max is planning

Soloha48 [4]

Answer:

Max and Elena live 5764 miles away from each other.

Step-by-step explanation:

One mile is equivelant to 1.6 kilometers.

8 0

2 years ago

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Find [-4/5]×3/7×15/16×[-14/9]

mixer [17]

Answer:

[-4/5]×3/7×15/16×[-14/9]= 1/2

Step-by-step explanation:

hope this helps :)

5 0

2 years ago

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a 5 liter jugs full with lemonade. if the lemonade is poured into 300 ml how many cups will be filled

mash [69]

Answer:

Just add the two answers together I think

Step-by-step explanation:

300 + 5 = 305

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3 years ago

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Help with this and dis the last one!

Furkat [3]

Answer:

i thinking its D:R 3, 9 BC LIKE U CAN SEE THE POINTS ITS AND WHEN U URN THHOS POINTS AROUND U WILL GET D

Step-by-step explanation:

HOPE THIS HELPD AND PLS GIVE ME A THANKS AND LIKE ATLEAST

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3 years ago

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