If-A-20-and-B-25-Find-1-tanA-1-tanB-

Question Number 184475 by Shrinava last updated on 07/Jan/23

If A = 20 ° and B = 25 °

Find (1 + tanA) (1 + tanB)

Answered by cortano1 last updated on 07/Jan/23

\tan 45 = \frac{\tan 20 ° + \tan 25 °}{1 - \tan 20 ° \tan 25 °}

\Rightarrow 1 - \tan 20 ° \tan 25 ° = \tan 20 ° + \tan 25 °

(1 + \tan 20 °) (1 + \tan 25 °) = 1 + \tan 25 ° + \tan 20 ° + \tan 25 ° \tan 20 °

= 2

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