(5+4) +10=5+(4+10) A. True B. False

Mathematics

2 answers:

eduard2 years ago

7 0

True as they both add up to 19

Studentka2010 [4]2 years ago

3 0

Answer:

A. True

Step-by-step explanation:

One of the ways to check this is solving each side of the equation.

(5+4)+10=5+(4+10)

Remember PEMDAS.

Parenthesis first.

(9)+10=5+(14)

Now, you can drop the parenthesis and add the numbers together.

9+10=19

5+14=19

19=19

This is a true statement.

Hope this helps!

If not, I am sorry.

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Some useful relations and identities:

$\tan x=\dfrac{\sin x}{\cos x}$

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$\cos^2x=\dfrac{1+\cos2x}2$

By the first relation, we have

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Applying the two latter identities, we get

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We can apply the third identity again:

$\dfrac{(1-2\cos2x+\cos^22x)\sin x}{2(1+\cos2x)}=\dfrac{\left(1-2\cos2x+\frac{1+\cos4x}2\right)\sin x}{2(1+\cos2x)}=\dfrac{(3-4\cos2x+\cos4x)\sin x}{4(1+\cos2x)}$