यदि `cos alpha + cos beta + cos gamma = 0 ` , जहाँ ` 0 lt alpha le pi/2 , 0 lt beta le pi/2, 0 lt gamma le pi/2` है, तो `sin alpha + sin beta + sin gamma ` का मान क्या है ?

Options

A. `0`
B. `3`
C. `(5sqrt(2))/(2)`
D. `(3sqrt(2))/(2)`

Answer

B

Explanation

दिया है,
`cosalpha+cosbeta+cos gamma=0`
`0 lt alpha le pi/2, 0 lt beta gamma (pi)/(2), 0 lt r le (pi)/(2)`
`cos alpha + cos beta + cos gamma = 0 `
`rArr alpha=beta=gamma = (pi)/(2)`
`:.sin alpha+sin beta + sin gamma`
`=sin .(pi)/(2)+sin.(pi)/(2)+sin.(pi)/(2)`
`=1+1+1`
`=3`