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bija089 [108]
4 years ago
8

Solve tan2x=cot2x in the range 0-180

Mathematics
1 answer:
loris [4]4 years ago
4 0

<span>Tan(2x) ‒ 1/Tan(2x) = 0 \\ clear the denominators by multiplying both sides by Tan(2x) </span>

<span>Tan²(2x) ‒ 1 = 0 as long as Tan(2x) exists and ≠ 0 </span>

<span>Tan²(2x) = 1 so Tan(2x) = -1 or Tan(2x) = 1 </span>

<span>Therefore, 2x = 45° or x = 22.5° or 2x = -45° or x = -22.5° </span>

<span>There are many other values of x that work but not between -180° and 180°. </span>
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