Trigono (12.3.7), tan 100. + tan 125.+ (tan 100. )(tan 125.) is equal t

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Title: Trigono (12.3.7)

Question Details:

Posted On: Feb 19, 2012 01:49 PM

tan 100^. + tan 125^.+ (tan 100^. )(tan 125^.) is equal to

A. 0 B. 1/2 C. -1 D. 1

EXPLAIN HOW?

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Aditi Bhatnagar
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Answer Details:

Feb 19, 2012 05:17 PM

tan225=tan(125+100),

tan(180+45)= (tan125+tan100)/(1-tan125tan100),

tan45=(tan125+tan100)/(1-tan125tan100),

1=(tan125+tan100)/(1-tan125tan100),

tan125+tan100=1-tan125tan100,

tan125+tan100+tan125tan100=1.

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