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If x1= 8 sintheta and x2=6costheta then ...

If `x_1= 8 sintheta` and `x_2=6costheta` then
(A) `(x_1+x_2)_(max)=10`
(B) `x_1+x_2=10sin(theta+37)`
(C) `x_1.x_2=24sintheta`
(D) `x_1/x_2 = 4/3 tan theta`

Text Solution

Verified by Experts

`x_1=8sintheta,x_2=6costheta`
`x_1/x_2=(8sintheta)/(6costheta)`
`=4/3tantheta`
`x_1x_2=(8sintheta)(6costheta)`
`=48sinthetacostheta`
`=24sin2theta`
`x_1+x_2=8sintheta+6costheta`
`=10[8/10sintheta+6/10costheta]`
...
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