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 2 years ago
I need Trig Identity help please..! (Grade 12)
How do I prove...
(cos2x/1+sin2x) = tan(pi/4 x)
 2 years ago
I need Trig Identity help please..! (Grade 12) How do I prove... (cos2x/1+sin2x) = tan(pi/4 x)

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tkhunny
 2 years ago
Best ResponseYou've already chosen the best response.1You have written this: \(\dfrac{\cos(2x)}{1} + \sin(2x) = \tan(\frac{\pi}{4}  x)\). Is this what you intend?

pottersheep
 2 years ago
Best ResponseYou've already chosen the best response.0Ohhhhh you are right my mistake!

pottersheep
 2 years ago
Best ResponseYou've already chosen the best response.0It should be (cos2x/(1+sin2x) = tan(pi/4 x)

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.0\[\frac{\cos^2(x)}{1+\sin^2(x)}\]?

pottersheep
 2 years ago
Best ResponseYou've already chosen the best response.0No, They are not to the power of 2, they are just 2x :)

tkhunny
 2 years ago
Best ResponseYou've already chosen the best response.1Well, it certainly looks like an exercise in double angles. Perhaps expanding all three expressions will lead to something.

pottersheep
 2 years ago
Best ResponseYou've already chosen the best response.0I THINK I GOT IT :)

pottersheep
 2 years ago
Best ResponseYou've already chosen the best response.0yay double angles worked~~~!!

tkhunny
 2 years ago
Best ResponseYou've already chosen the best response.1Let's see your work and perhaps we can untangle it. \(\cos(2x) = \cos^{2}(x)  \sin^{2}(x) = 1  2\sin^{2}(x) = 2\cos^{2}(x)  1\) \(\sin(2x) = 2\sin(x)\cos(x)\) You may wish to convert the tangent to sine/cosine. Really, the idea behind these things is to get you to EXPLORE these relationships. Don't expect to see a clear solution right away. Play with it until somthing pops out.

sirm3d
 2 years ago
Best ResponseYou've already chosen the best response.0@pottersheep do you need hint?
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