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3 years ago

7

3 /8 + 2/ 3 = 9/ 24 + 16/ 24 = 25/ 24 =

1 answer:

Alchen [17]3 years ago

7 0

Convert the denominator of the first two fractions to 24 since 3 and 8 can fit into 24.

3/8=9/24

2/3=16/24

Now add them together.

9/24+16/24=25/24

Next add the second two fractions 9/24 and 16/24.

9/24+16/24=25/24

Since all fractions equal 25/24, the equation was true!

Hope this helps!

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Answer:

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Step-by-step explanation:

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Apply formula:

$\cos\left(A\right)-\cos\left(B\right)=-2\cdot\sin\left(\frac{A+B}{2}\right)\cdot\sin\left(\frac{A-B}{2}\right)$ and

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$=\frac{-2\cdot\sin\left(\frac{2x+4x}{2}\right)\cdot\sin\left(\frac{2x-4x}{2}\right)}{2\cdot\sin\left(\frac{2x+4x}{2}\right)\cdot\cos\left(\frac{2x-4x}{2}\right)}$

$=\frac{-\sin\left(\frac{2x-4x}{2}\right)}{\cos\left(\frac{2x-4x}{2}\right)}$

$=\frac{-\sin\left(\frac{-2x}{2}\right)}{\cos\left(\frac{-2x}{2}\right)}$

$=\frac{-\sin\left(-x\right)}{\cos\left(-x\right)}$

$=\frac{-\cdot-\sin\left(x\right)}{\cos\left(x\right)}$

$=\frac{\sin\left(x\right)}{\cos\left(x\right)}$

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Hence final answer is

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