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anonymous
 one year ago
If sine of x equals 1 over 2, what is cos(x) and tan(x)? Explain your steps in complete sentences.
anonymous
 one year ago
If sine of x equals 1 over 2, what is cos(x) and tan(x)? Explain your steps in complete sentences.

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[sinx = \frac{ 1 }{ 2 }\] as such correct?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Notice the ratio for sinx is \[\sin(x) = \frac{ \text{opposite} }{ \text{hypotenuse} }\] so we can make a right triangle dw:1440123129207:dw we can use pythagorean theorem to find the adjacent side, can you do that please?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1440123246771:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[a^2+b^2 = c^2 \implies 1^2+b^2=2^2\]\[b^2 = 2^2  1^2 \implies b = \sqrt{41} = \sqrt{3}\] yup perfect!

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Now since we have adjacent side we should be able to find tanx and cosx now :)\[cosx = \frac{ \text{adjacent} }{ \text{hypotenuse} }\] \[tanx = \frac{ \text{opposite} }{ \text{adjcanet} }\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Exactly! And tanx will be? :)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Perfect :) So we have \[\cos(x) = \frac{ \sqrt{3} }{ 2 }\] and \[\tan(x) = \frac{ 1 }{ \sqrt{3} }\] as you mentioned!

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so thats the whole answer

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Yup, that's it! Nice work
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