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Prove that tan40^(@) + 2tan10^(@) = tan5...

Prove that `tan40^(@) + 2tan10^(@) = tan50^(@)`

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To prove that \( \tan 40^\circ + 2\tan 10^\circ = \tan 50^\circ \), we can use the tangent addition formula and some trigonometric identities. Let's go through the proof step by step. ### Step 1: Rewrite \( \tan 50^\circ \) We can express \( \tan 50^\circ \) as \( \tan(40^\circ + 10^\circ) \). ### Step 2: Apply the Tangent Addition Formula Using the tangent addition formula: \[ ...
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