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If tan x =b/a, then the value of (a cos...

If `tan x =b/a, ` then the value of `(a cos 2x+ b sin 2x)` is equal to-

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The correct Answer is:
`=(a^(3)+ab^(2))/(a^(2)+b^(2)) = (a(a^(2)+b^(2)))/(a^(2)+b^(2))=a`
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