SOLUTION: if 0 < (theta) < 90 and tan(theta)= sqrt3/2 find cos(theta)
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Question 218323: if 0 < (theta) < 90 and tan(theta)= sqrt3/2 find cos(theta)
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Remember that =\frac{\sin(x)}{\cos(x)})
Also, we have another identity: +\cos^2(x)=1)
which means that =\sqrt{1-\cos^2(x)})
... Start with the first identity.
=\frac{\sqrt{1-\cos^2(x)}}{\cos(x)})
... Plug in
}}{\cos(x)})
... Plug in =\frac{\sqrt{3}}{2})
Now let
... Replace each cosine with 'z'
I'm going to let you take it from here. You just need to solve for 'z' and then use the equation to find 'x'. Let me know if you still need help.
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