If sin $\theta$ = sqrt(3)/2 then (cosec $\theta$ + cot $\theta$) = ?

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KollegeApply · Accepted Answer

bb(sqrt(3)) Explanation: cos2 $\theta$ = (1 – sin2 $\theta$) = (1 - $\frac{3}{4}$) = $\frac{1}{4}$ $\Rightarrow$ cos $\theta$ = $\frac{1}{2}$ $\therefore$ `"cosec" $\theta$ = 1/(sin $\theta$) = 2/sqrt(3) and cot $\theta$ = (cos $\theta$)/(sin $\theta$) = (($\frac{1}{2}$))/((sqrt(3)/2)) = 1/sqrt(3) $\therefore$ ("cosec" $\theta$ + cot $\theta$) = (2/sqrt(3) + 1/sqrt(3)) = 3/sqrt(3) = sqrt(3)`

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