if tanA=tanB then prove that A+B=90
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Correct Question:
If tan A = cot B then prove that A + B = 90°.
Solution:
Given:
=> tan A = cot B
To Prove:
=> A + B = 90°
So,
=> tan A = cot B ..........(1)
We can write cot B = tan(90° - B).
Now, put tan(90° - B) in place of cot B in Eq (1). we get,
=> tan A = tan (90° - B)
=> A = 90° - B
=> A + B = 90°
Hence Proved!!!
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