Find the no. of components in the set:

C = {tan^2(3x) = 0}

Question

Find the no. of components in the set:

C = {tan^2(3x) = 0}

anonymous · Answer

for the domain $$0\le x \le 180$$

mertsj · Answer

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 · Answer

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.

ash2326 · Answer

Yeah you did right, could have proceeded with sec 3x also, wouldn't have made any difference.:)

anonymous · Answer

Ohh, yeahh, I could have. But my teacher's all " Convert everything in terms of tan, cos and sin."