if cot A = 3/4 find tan2 A
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To Find :-
The value of tan² A.
Step-by-step Explanation
Here, According the question, it's given that.
- cot A = 3/4
It's known that,
cot A = Adjacent side/Opposite side
ㅤㅤㅤㅤㅤㅤㅤand
tan A = Opposite side/Adjacent side
cot A and tan A is reciprocal to each other.
Therefore,
ㅤㅤㅤㅤㅤㅤcot A = 3/4 ... given
∴ tan A = 4/3
Also, By the problem,
It's given to find:- (tan)² A.
So,
⟹ tan A = 4/3
⟹ tan² A = (4/3)²
⟹ tan² A = 16/9
Hence,
The required number is 16/9 .
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