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3sin^(2)x-7sin x +2=0, x in [0,(pi)/(2)]...

` 3sin^(2)x-7sin x +2=0, x in [0,(pi)/(2)] and f_(n)(theta)=sin^(n) theta + cos^(n) theta ` .
On the basis of above information, the value of ` ( sin 5 x + sin 4 x)/( 1+ 2 cos 3 x)` is:

A

(a)`(3+ 2 sqrt(2))/(9)`

B

(b)`(3+ 4sqrt(2))/(9)`

C

(c)`(4sqrt(2)-2)/(9)`

D

(d)`(4sqrt(2)-3)/(9)`

Text Solution

Verified by Experts

The correct Answer is:
B
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