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Questions  

If tan13+tan1x=tan18, then x=

a
5
b
15
c
514
d
145

detailed solution

Correct option is B

We have,tan−1⁡3+tan−1⁡x=tan−1⁡8⇒ tan−1⁡x=tan−1⁡8−tan−1⁡3⇒ tan−1⁡x=tan−1⁡8−31+24⇒x=15

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