Question

Hallar "x" 2senx.ctgx=1
porfiss aiudaaa:(
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Answer 1

Hola!

$2\sin \left(x\right)\cot \left(x\right)=1$

$2\sin \left(x\right)\cot \left(x\right)-1=0$

$-1+2\cdot \frac{\cos \left(x\right)}{\sin \left(x\right)}\sin \left(x\right)=0$

$-1+2\cos \left(x\right)=0$

$-1+2\cos \left(x\right)+1=0+1$

$2\cos \left(x\right)=1$

$\frac{2\cos \left(x\right)}{2}=\frac{1}{2}$

Soluciones generales para cos(x)=1/2

$x=\frac{\pi }{3}+2\pi n,\:x=\frac{5\pi }{3}+2\pi n$