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Mathematics 20 Online
OpenStudy (anonymous):

solve: tanx+cotx=2.

OpenStudy (anonymous):

Range pls

OpenStudy (anonymous):

sinx.cosx=1/2

OpenStudy (anonymous):

whts dis???????

OpenStudy (anonymous):

Since u have not given me any range,I have simply simplified it

OpenStudy (anonymous):

bt ur's wrong!!

OpenStudy (anonymous):

let y = tanx then because: \[\cot(x) = \frac{1}{\tan(x)}\] Your equation becomes: \[y+\frac{1}{y} = 2\] By inspection, the solution to this is y = 1. So now we have: \[y = 1 \Rightarrow \tan(x) = 1 \Rightarrow x = \frac{\pi}{4}, \frac{5\pi}{4}\]

OpenStudy (anonymous):

by joemath314159265's answer y+1/y=2 y\[^{2}\]-2y+1=0 y=(2\[\pm \sqrt{4-4}\])/2 y=1 ie tan x=1; the eqn has infinite no of solutions the principal solns r x=\[\Pi\]/4

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