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Question

Find the value of tan400.


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Solution

Expand the value of tan40° in standard angles.

tan40°=tan30°+10°

tan30°=13,tan0°=0,tan45°=1,tan60°=3andtan90°=

So, tan40°=tan30°+10°. ; [tanA+B=tanA+tanB1-tanAtanB]

tan40°=tan30°+tan10°1-tan30°tan10°=0.57735+0.1763261-0.577350.176326=0.839095

Hence, the value of tan40°is0.839095.


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