12×3/4÷1/2+12÷30=? 00000000000

Question

Question : If $\sin(\theta+30^{\circ})=\frac{3}{\sqrt{12}}$, then the value of $\cos^{2}\theta$ is:
Option 1: $\frac{1}{4}$
Option 2: $\frac{\sqrt{3}}{2}$
Option 3: $\frac{3}{4}$
Option 4: $\frac{1}{2}$

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Answer 1

Hello student,

in any kinds of calculation the multiplication got more priority then divide. So at first we have to multiply to 12 with 3/4. By that we will get 9. Now if we divide 9 with 1/2 do it will be 9/2. Plus 12 become 35/ 2 . Now if we divide it with 30 we will get 35 / 60. Which is simply is equal to 7/12

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12×3/4÷1/2+12÷30=? 00000000000

Related Questions

Question : If $\sin(\theta+30^{\circ})=\frac{3}{\sqrt{12}}$, then the value of $\cos^{2}\theta$ is:Option 1: $\frac{1}{4}$Option 2: $\frac{\sqrt{3}}{2}$Option 3: $\frac{3}{4}$Option 4: $\frac{1}{2}$

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Question : If $\frac{x-x\tan^{2}30^{\circ}}{1+\tan^{2}30^{\circ}}=\sin^{2}30^{\circ}+4\cot^{2}45^{\circ}-\sec^{2}60^{\circ}$, then value of $x$ is:Option 1: $\frac{1}{4}$Option 2: $\frac{1}{5}$Option 3: $\frac{1}{2}$Option 4: $\frac{1}{\sqrt3}$

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Question : If $\sin(\theta+30^{\circ})=\frac{3}{\sqrt{12}}$, then the value of $\cos^{2}\theta$ is:
Option 1: $\frac{1}{4}$
Option 2: $\frac{\sqrt{3}}{2}$
Option 3: $\frac{3}{4}$
Option 4: $\frac{1}{2}$

Question : If $\frac{x-x\tan^{2}30^{\circ}}{1+\tan^{2}30^{\circ}}=\sin^{2}30^{\circ}+4\cot^{2}45^{\circ}-\sec^{2}60^{\circ}$, then value of $x$ is:
Option 1: $\frac{1}{4}$
Option 2: $\frac{1}{5}$
Option 3: $\frac{1}{2}$
Option 4: $\frac{1}{\sqrt3}$

Question : Find the value of the given expression.
$\frac{4}{3} \tan^2 45^{\circ}+3 \cos^2 30^{\circ}-2 \sec^2 30^{\circ}-\frac{3}{4} \cot^2 60^{\circ}$
Option 1: $\frac{2}{3}$
Option 2: $\frac{3}{2}$
Option 3: $\frac{\sqrt{2}}{3}$
Option 4: $\frac{3}{\sqrt{2}}$