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If tan (A+B) = 13 and tan (A-B) = 13 A > B, then the value of A is |
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Answer» tanA=− 2 1 and tanB=− 3 1
Now tan(A+B)= 1−tanAtanB tanA+tanB
= 1−(− 2 1 )(− 3 1 ) − 2 1 − 3 1
= 1− 6 1
− 6 5
= − 6 5
− 6 5
=−1 ⇒A+B=tan −1 (−1)= 4 3π |
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