Find A if tan 2A= cot(A-24°)
Answers
Answered by
225
tan 2A = tan ( 90 - A + 24)
tan 2A = tan 114 - tan A
tan 3A = tan 114
3A= 114
A = 36
piyush6420singla:
Sorry ans is 38. A= 38. i calculated wrong.
Answered by
93
We are given that tan=2A=cot(A-24°)
Since tan 2A=cot(90°-2A)...........(1)
cot(90°-2A)=cot(A-24°)
Since 90°-2A and A-24° are both acute angles ,therefore
90°-2A=A- 24°
-2A-A=-24°-90°
-3A=-114°
A=-114°/-3
A= 36°
Since tan 2A=cot(90°-2A)...........(1)
cot(90°-2A)=cot(A-24°)
Since 90°-2A and A-24° are both acute angles ,therefore
90°-2A=A- 24°
-2A-A=-24°-90°
-3A=-114°
A=-114°/-3
A= 36°
when we wil divide the -114/-3 will get 38
my mistake
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