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Solenoid Core in Magnetic Field

lf a line mak...

Question

lf a line makes angles $\frac{π}{12}, \frac{5 π}{12}$ with $O Y, O Z$ respectively where $O = (0, 0, 0)$ , then the angle made by that line with $O X$ is

45^{o}

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90^{o}

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60^{o}

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30^{o}

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Solution

The correct option is B $90^{o}$
${(cos \frac{π}{12})}^{2} + {(cos \frac{5 π}{12})}^{2} + (cos (γ))^{2} = 1$
${(cos \frac{π}{12})}^{2} + {(sin \frac{π}{12})}^{2} + (cos (γ))^{2} = 1$ ..... $(cos θ = sin (\frac{π}{2} - θ))$
$(cos (γ))^{2} = 0$
$cos (γ) = 0$
$γ = 90^{\circ}$

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Similar questions

45^{o}, 60^{o}

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