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Sine Rule

y=tan theta,i...

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y=tan theta,if %error is measurement of 1% then find the error measurement by at angle theta=/4

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Q. For what value of

θ

the percentage error in the measurement of a physical quantity given by

m = k tan θ

is minimum where

k

θ

is an acute angle for which

{tan}^{2} θ = 6 tan θ - 9

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Q. The range in meters of a projectile launched over a flat ground from the origin with positive velocity

V

m / s

θ

given in radian is given by

R = \frac{V^{2} sin (2 θ)}{g}

g

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V = 2 m / s, g = 10 m / s^{2}

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was measured to be

\frac{π}{12}

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\frac{1}{10 \sqrt{3}}

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(2 tan θ + 1) (3 tan θ + 4) = 11 tan θ + 5 {sec}^{2} θ a n d 0^{\circ} < θ < 90^{\circ},

then the measure of

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If the error in measurement of the surface area of a sphere is 4%, then the error in measurement of its volume will be

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