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2 years ago

Enzo is driving to his niece's t-ball game. his sister gave him directions. what will

Mathematics

2 answers:

just olya [345]2 years ago

6 0

The direction given by Enzo's sister is an illustration of distance

Enzo's distance from the east of 1st avenue to the field is 6 miles

<h3>How to describe the directions?</h3>

From the question, we have the following directions:

Start at east of 1st avenue
Drive 3 miles
Make a 90 degrees right turn
Drive 1 mile
Turn at 90 degrees intersection
Drive 2 miles

The above directions imply that the total distance from the east of 1st avenue to the field is:

Distance = 3 miles + 1 mile + 2 miles

Evaluate the sum

Distance = 6 miles

Hence, Enzo's distance from the east of 1st avenue to the field is 6 miles

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Answer:

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Step-by-step explanation:

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Apply formula:

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

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

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

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

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

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

$=\tan\left(x\right)$

Hence final answer is

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

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