Question:
Prove that: tan-1 (2/11) + tan-1 (7/24) = tan-1 (1/2)
Answer:
Given, tan-1 (2/11) + tan-1 (7/24)
= tan-1 {(2/11 + 7/24)/(1 - 2/11 * 7/24)}
= tan-1 [{(48 + 77/(11 * 24)}/{(11 * 24 - 14)/(11 * 24)}]
= tan-1 {(48 + 77/(264 - 14)}
= tan-1 (125/250)
= tan-1 (1/2)
So, tan-1 (2/11) + tan-1 (7/24) = tan-1 (1/2)
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