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If A = 35^@ , B = 15^@ and C = 40^@, the...

If `A = 35^@` , `B = 15^@` and `C = 40^@`, then tan A. tan B + tan B. tan C tan C. tan A is equal to

A

0

B

1

C

2

D

3

Text Solution

Verified by Experts

The correct Answer is:
B
`because tan(A+B+C)`
`=([tanA+tanB+tanC-tanAtanBtanC])/([1-tanAtanB-tanBtanC-tanCtanA])`
`implies tan(90^(@))=(tanA+tanB+tanC-tanAtanBtanC)/(1-tanAtanB-tanBtanC-tanCtanA)`
`therefore tanAtanB=tanBtanC+tanCtanA=1`
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-FACTORIZATION FORMULAE -EXERCISE 2
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