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mathslover
 3 years ago
sin ( 90 + theta ) = cos theta
prove^
mathslover
 3 years ago
sin ( 90 + theta ) = cos theta prove^

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anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0i guess it depends on what you can use if you can use the addition angle formula, that would work if not maybe with a triangle you can see it

mathslover
 3 years ago
Best ResponseYou've already chosen the best response.0i want to do with the triangle one but m wondering how will you show (90+theta) in a right angled triangle?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0dw:1350098235823:dw

mathslover
 3 years ago
Best ResponseYou've already chosen the best response.0yes but that is 90  theta? do 90theta has any relation with 90 + theta ?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0\[\cos(x)=\frac{a}{c}=\sin(90x)=\sin(x90)\] \[=\sin(x90+180)=\sin(x+90)\]

mathslover
 3 years ago
Best ResponseYou've already chosen the best response.0how : sin(x90) = sin(x90+180) ?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0third equal sign because sine is odd, fourth because \(\sin(x)=\sin(x+180)\)

mathslover
 3 years ago
Best ResponseYou've already chosen the best response.0Gotcha now, thanks a lot!

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0your on the other side of the unit circle dw:1350098472701:dw

mathslover
 3 years ago
Best ResponseYou've already chosen the best response.0hey, how you did this step? : \[\large{\sin(x90) = sin(x90+180) }\] ?

mathslover
 3 years ago
Best ResponseYou've already chosen the best response.0@satellite73 did you subtract sin(180) both sides?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0i added 180 inside because \(\sin(x)=\sin(x+180)\)
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