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Mathematics 10 Online
OpenStudy (yanasidlinskiy):

I need help with this question!!:D please.

OpenStudy (yanasidlinskiy):

OpenStudy (yanasidlinskiy):

@SolomonZelman Is this correct?

ganeshie8 (ganeshie8):

doesn't look correct

OpenStudy (yanasidlinskiy):

Ugh..How would I solve it?

ganeshie8 (ganeshie8):

you may use this : \[\large \cos(x) = \cos(x+2\pi)\]

ganeshie8 (ganeshie8):

adding \(2\pi \) to the angle will not change the value of cos

ganeshie8 (ganeshie8):

\[\large \cos \left(-\dfrac{7 \pi}{4}\right)\]

ganeshie8 (ganeshie8):

\[\large = \cos \left(-\dfrac{7 \pi}{4} + 2\pi\right)\]

ganeshie8 (ganeshie8):

get a common denominator and add the fractions

ganeshie8 (ganeshie8):

\[\large = \cos \left(-\dfrac{7 \pi}{4} + \dfrac{8\pi}{4}\right)\]

ganeshie8 (ganeshie8):

\[\large = \cos \left(\dfrac{\pi}{4}\right)\]

ganeshie8 (ganeshie8):

whats the value of cos(pi/4) ?

OpenStudy (yanasidlinskiy):

0.7?

OpenStudy (yanasidlinskiy):

I got it. It's \[\frac{ 1 }{ 2 }\]

ganeshie8 (ganeshie8):

we need to memorize values for few angles, cos(pi/4) is one of them

ganeshie8 (ganeshie8):

\[\large \cos \left(\dfrac{\pi}{4}\right) = \dfrac{\sqrt{2}}{2}\]

OpenStudy (yanasidlinskiy):

Ok. I gotta question.

OpenStudy (yanasidlinskiy):

For example, if it says in my book: sin (pi/4)=1/2 \[\sqrt{2}\]

OpenStudy (yanasidlinskiy):

Would it be \[\sqrt{2}\] Or, it would stay just 1/2??

OpenStudy (yanasidlinskiy):

Cuz..That's how it is in my book.

ganeshie8 (ganeshie8):

\[\large \cos \left(\dfrac{\pi}{4}\right) = \dfrac{1}{\sqrt{2} }\]

ganeshie8 (ganeshie8):

like that ?

OpenStudy (yanasidlinskiy):

Yes. And then it just has a \[\sqrt{2}\] beside it.

OpenStudy (anonymous):

|dw:1406719645308:dw| cos (90+90+90+45) cos 90 is = 0 therefore you're left with cos45 If you've memorised the special angles, you'll know that cos 45 is equal to |dw:1406719827734:dw|

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