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2 years ago

Is this graph proportional?

Mathematics

1 answer:

LenKa [72]2 years ago

3 0

Answer:

Yes it is. becaus its even

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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

Circle P is tangent to the x-axis and the y-axis. If the coordinates of the center are (r, r), find the equation of the line con

almond37 [142]

Answer:

$y=-x+r$

Step-by-step explanation:

we know that

The tangency point on the x-axis is (r,0)

The tangency point on the y-axis is (0,r)

Find the slope of the line containing the points of tangency

$m=\frac{0-r}{r-0}=-1$

Remember that the equation of the line into slope intercept form is equal to

$y=mx+b$

where

m is the slope

b is the y-coordinate of the y-intercept

In this problem we have

$m=-1$

$b=r$

substitute

$y=-x+r$

4 0

4 years ago

The diagram shows a triangle. What is the value of v?

Andrej [43]

Answer:

Step-by-step explanation:

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3 years ago

What number is 44 % of 840

sattari [20]

It's 369.6
(840X44)/100 = 369.6

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4 years ago

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What is 2 to the second power

inessss [21]

2^2 = 4
just think 2 written out TWO times (hence the SECOND power).

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3 years ago

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