2sinx - sin3x = 0
2sinx - 3sinx + 4sin3x = 0
4sin3x - sinx = 0
sinx(4sin2x - 1) = 0
sinx*(2sinx - 1)(2sinx + 1) = 0
so sinx = 0
or sinx = -1/2
or sinx = 1/2
It is not possible to go any further since the domain for x is not defined.
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Tan of 0 equals zero.
Let x = theta, since it's easier to type, and is essentially the same variable. Since tan^2(x)=tan(x), you know that tan(x) must either be 1 or zero for this statement to be true. So let tan(x)=0, and solve on your calculator by taking the inverse. Similarly for, tan(x)=1
-16t2 + 64t + 1224 = 0 Multiply both sides by -1 16t2 - 64t - 1224 = 0 Divide both side by 8 2t2 - 8t - 153 = 0 Cannot be factored so use the formula (-b (+ or -)(root of b2 - 4ac)) / 2a
cotA*cotB*cotC = 1/[tanA+tanB+tanC]
f(x) = 1/x except where x = 0.