Mathematics
Freestone947
2020-04-27 13:37:45
solve tan2x=cot2x in the range 0-180
ANSWERS
MardellMackin
2020-04-27 18:18:32

Tan(2x) ‒ 1/Tan(2x) = 0 \ clear the denominators by multiplying both sides by Tan(2x)  Tan²(2x) ‒ 1 = 0 as long as Tan(2x) exists and ≠ 0  Tan²(2x) = 1 so Tan(2x) = -1 or Tan(2x) = 1  Therefore, 2x = 45° or x = 22.5° or 2x = -45° or x = -22.5°  There are many other values of x that work but not between -180° and 180°. 

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