Question

find A if tan 2A = cot (A-24)​

Answer 1

Solution:

tan2A = cot(A-24)

=> tan 2A = tan [ 90 - (A-24)]

/* cotA = tan(90-A) */

=> tan2A = tan(90-A+24)

=> tan2A = tan (114 - A)

Remove the tan both sides, we get

=> 2A = 114 - A

=> 2A + A = 114

=> 3A = 114

=> A = 114/3

=> A = 38

Therefore,

A = 38°

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