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if a,b are different values of x(angle) satisfying the equation 5cosx+12sinx=11 the value of sin(a+b)=. options : 1)119/120 2)5/12 3)120/169 4)12/5

if a,b are different values of x(angle) satisfying the equation 5cosx+12sinx=11 the value of sin(a+b)=. options : 1)119/120 2)5/12 3)120/169 4)12/5

Grade:12

1 Answers

Vikas TU
14149 Points
7 years ago
 5cosx+12sinx=11
12sinx = 11 – 5cosx
squaring both sides,
144sin^2x = 121 +25cos^x – 110coss
write sin^2x = 1 – cos^2x
then assume sin x = t,
and then form the qudratic and solve them.
and add them and ake their sin.

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