How do you solve $tan (x) {csc}^{2} (x) cos (x) = 0$ $tan(x)csc^2(x)cos(x)=0$ ?

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Answer 1 · 2015-05-30T23:26:50

$tan (x) {csc}^{2} (x) cos (x) = 0$ $tan(x)csc^2(x)cos(x) = 0$

$tan (x) (\frac{1}{{sin}^{2} (x)}) (cos (x)) = 0$ $tan(x) (1/sin^2(x))(cos(x)) = 0$

$\frac{sin (x)}{cos (x)} \cdot \frac{cos (x)}{sin (x)} (\frac{1}{sin x}) = 0$ $(sin(x))/cos(x)* (cos(x))/(sin(x))(1/sinx) = 0$

$\frac{1}{sin x} = 0$ $1/sinx = 0$

$csc x = 0$ $cscx = 0$

$x$ $x$ is undefined.

You can see it on the graph:

Graph of $csc x$ $csc x$

graph{csc x [-10, 10, -5, 5]}

How do you solve tan(x)csc^2(x)cos(x)=0tan(x)csc2(x)cos(x)=0tan(x)csc^2(x)cos(x)=0?