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Given that tan alpha and tan beta are t...

Given that tan ` alpha and tan beta` are the roots of the equation `x^(2)+bx+c=0` with `bne0`.
What is `sin(alpha+beta)secalphasecbeta` equal to ?

A

b

B

`-b`

C

c

D

`-c`

Text Solution

Verified by Experts

The correct Answer is:
B
`sin(alpha+beta)secalphasecbeta`
`=(sinalphacosbeta+cosalphasinbeta)/(cosalphacosbeta)`
`=tanalpha+tanbeta`
= - b
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