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Questions  

If cosxa=cos(x+θ)b=cos(x+2θ)c=cos(x+3θ)d,then a+cb+d is equal to

a
ad
b
cb
c
bc
d
da

detailed solution

Correct option is C

For each of the ratios be 1/k,a+cb+d=kcos⁡x+kcos⁡(x+2θ)kcos⁡(x+θ)+kcos⁡(x+3θ)=2cos⁡(x+θ)cos⁡θ2cos⁡(x+2θ)cos⁡θ=cos⁡(x+θ)cos⁡(x+2θ)=kcos⁡(x+θ)kcos⁡(x+2θ)=bc

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