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3 years ago

Help with this question please !!

Mathematics

1 answer:

prohojiy [21]3 years ago

3 0

Answer:

Step-by-step explanation:

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Simplify: cos2x-cos4 all over sin2x + sin 4x

GrogVix [38]

Answer:

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

Step-by-step explanation:

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

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

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

We get:

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

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

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

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

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

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

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

Hence final answer is

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

6 0

3 years ago

Find the missing side length… please help

My name is Ann [436]

Answer:

So let's consider the triangle
$\tan(46) = \frac{17}{x}$
Cross multiply
$tan(46) \times x = 17$
$x = 16.42$
I do quizzes and exams lmk if your interested!

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3 years ago

What id the mean of the set? 10, 15, 14, 8, 18, 11, 12, 12, 10, 10, 17, 16

Elan Coil [88]

The Mean is of the data is 12.75

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4 years ago

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What is the equivalent fraction for 21/8?

Law Incorporation [45]

There are infinite equivalent fraction can be obtained just multiple by any number to both numerator and denominator and you will find equivalent fraction !

as 42/16, 63/24 etc

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3 years ago

What is the x value?<br> A.) 83<br> B.) 58<br> C.) 70.5<br> D.) 50

Viefleur [7K]

141-25=116
116/2=58

X=58

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3 years ago

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