1.

Express the following as a single trigonometric ratio:`sqrt(3) cos theta- sin theta `

Answer» Given
`sqrt(3) cos theta- sin theta `
`2((sqrt(3))/(2) cos theta-(1)/(2) sin theta)`
`=2(cos theta* cos 30^(@)- sin theta * sin30^(@))`
`=2(cos(theta+30^(@)))`
`implies sqrt(3) cos theta- sin theta=2 cos (theta+30^(@))`.


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