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Mathematics 20 Online
OpenStudy (anonymous):

Help please?? Use the image below to answer the following question. Find the value of sin x° and cos y°. What relationship do the ratios of sin x° and cos y° share?

OpenStudy (anonymous):

|dw:1406416688001:dw|

OpenStudy (anonymous):

@mathstudent55

OpenStudy (anonymous):

@ganeshie8 can you help me with this problem please?

OpenStudy (crashonce):

sin x = opp/hyp = 5/13 (13 is the third side from pythagoras cos y = adj/hyp = 5/13 Thus sinx = cos y

OpenStudy (anonymous):

Wait, how did the 13 come in? Sorry I don't follow.

OpenStudy (crashonce):

using pythagoras, the hypotenuse is equal to the squareroot of the sum of the other sides squared so: \[hypotenuse = \sqrt{12^2+5^2}\]

OpenStudy (anonymous):

\[\sqrt{144+25}=\sqrt{169}=13\] Ok I get that! thanks @CrashOnce

OpenStudy (anonymous):

So is that the final answer?

OpenStudy (crashonce):

yes 13 is the hypotenuse thus: sin x = opp/hyp = 5/13 (13 is the third side from pythagoras cos y = adj/hyp = 5/13 Thus sinx = cos y no problem

OpenStudy (anonymous):

What is the relationship do the ratios of sin x° and cos y° share?

OpenStudy (anonymous):

Is it just that they are equal?

OpenStudy (crashonce):

yea they are equal

OpenStudy (anonymous):

K, tysm

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