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kow [346]
3 years ago
5

Which expression is equivalent to 16^3

Mathematics
2 answers:
Sliva [168]3 years ago
8 0

Answer:

The answer is 4096

Step-by-step explanation:

16^3 is like 16*16*16.

So 16^3= 4096

Semmy [17]3 years ago
7 0
Answer

4096

Step by step
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Answer:

See explanation

Step-by-step explanation:

Use formula

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Substitute it into the first fraction:

\dfrac{\cos (x+y)}{\cos x\cos y}\\ \\=\dfrac{\cos x\cos y-\sin x\sin y}{\cos x\cos y}\\ \\=\dfrac{\cos x\cos y}{\cos x\cos y}-\dfrac{\sin x\sin y}{\cos x\cos y}\\ \\=1-\dfrac{\sin x}{\cos x}\cdot \dfrac{\sin y}{\cos y}\\ \\=1-\tan x\tany

Consider the whole expression:

\dfrac{\cos (x+y)}{\cos x\cos y}+\tan x\tan y\\ \\=1-\tan x \tan y+\tan x\tan y\\ \\=1

Done!

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