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3 years ago

Help me! Im having trouble if you can please answer and give an explanation! The best one will get brainlist!

Mathematics

1 answer:

jasenka [17]3 years ago

8 0

For the second work sheet:
5 2/8 - 4 1/4= 1 so NO
8 3/4 - 7 1/2= 1 1/4 so YES
2 1/8 - 1 7/8= 1/4 so NO
9 5/12 - 8 1/6= 1 1/4 so YES
Sorry if its not enough explanation, hope it helps!

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3 years ago

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Ket [755]

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See explanation

Step-by-step explanation:

We want to show that:

$\tan(x + \frac{3\pi}{2} ) = - \cot \: x$

One way is to use the basic double angle formula:

$\frac{ \sin(x + \frac{3\pi}{2} ) }{\cos(x + \frac{3\pi}{2} )} = \frac{ \sin(x) \cos( \frac{3\pi}{2} ) + \cos(x) \sin( \frac{3\pi}{2}) }{\cos(x) \cos( \frac{3\pi}{2} ) - \sin(x) \sin( \frac{3\pi}{2}) }$

$\frac{ \sin(x + \frac{3\pi}{2} ) }{\cos(x + \frac{3\pi}{2} )} = \frac{ \sin(x) ( 0) + \cos(x) ( - 1) }{\cos(x) (0) - \sin(x) ( - 1) }$

We simplify further to get:

$\frac{ \sin(x + \frac{3\pi}{2} ) }{\cos(x + \frac{3\pi}{2} )} = \frac{ 0 - \cos(x) }{0 + \sin(x) }$

We simplify again to get;

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