Math, asked by gurpyardandiwal, 1 year ago

if tan a = cot (30+2a) find a

Answers

Answered by nitthesh7
2
tan a = cot (30+2a) 
(as from identity tan a =cot(90-a))
Then
tan a =tan (90 -30-2a)
(by converse t
an (90 -30-2a))
tan a = tan (60-2a)
(cancelling tan on both sides)
      a = 60-2a
    3a = 60
      a = 20

:) Hope this helps!!!!!

Answered by Uniquedosti00017
1

Answer:

tanA = cot( 30 +2A)

=> cot(90-A) = cot( 30 + 2A)

on comparing both sides,

90 -A = 30 + 2A

=> 90 - 30 = 2A + A

=> 60 = 3A

=> A = 20°.

Step-by-step explanation:

formula used : cot( 90 - ∅) = tan∅.

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