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given that sin theta=-2/5 and tan theta is positive,evaluate the (tan theta -cot theta)²

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Cheahjimmyviz
given  sinФ  =  -2/5
 to find the adjacent side use pythagoras theorem      c² =a² + b²  
   a² = 5²-2² = 21
   a =   √21   
thus      tanФ =    2/√21       &   cotФ  =    √21/2
  (tanФ-cotФ)²   =   2/√21- √21/2       lcm = 2√21
                         =   4 - (√21)²/ 2√21
                              ( -17/2√21)²  =    289/84 =  3.44