anonymous
  • anonymous
Find the no. of components in the set: C = {tan^2(3x) = 0}
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
for the domain \[0\le x \le 180\]
Mertsj
  • Mertsj
For the tangent squared to be 0, the tangent has to be 0. For the tangent to be 0, the sine has to be 0 . The sine is 0 at 0 degrees and 180 degrees. So 3x = 0 or 3x = 180. x = 0 or 60 or 120 or 180. So the answer is 4
anonymous
  • anonymous
So we just convert tan^2 to tan?? that's basically what I wanted to check, because there's no formula or anything for it. It was originally sec^2(3x) = 1, and I converted it to this.

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ash2326
  • ash2326
Yeah you did right, could have proceeded with sec 3x also, wouldn't have made any difference.:)
anonymous
  • anonymous
Ohh, yeahh, I could have. But my teacher's all " Convert everything in terms of tan, cos and sin."

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