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prove that $\sin ^{-1}\left(\frac{3}{5}\right)-\sin ^{-1}\left(\frac{8}{17}\right)=\cos ^{-1}\left(\frac{84}{85}\right)$
engineering mathematics updated 4.0 years ago by krithikkm200 • 10
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Find the area of ring between two concentric circles whose circumference are 75 cm and 55 cm.
engineering mathematics updated 4.0 years ago by krithikkm200 • 10
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A metal strip having sides 17 x 7 x 5 cm is melted down and minted into coins each of diameter 1.4cm and thickness 0.08 cm. Assuming no wastage, how many coins can be minted?
engineering mathematics updated 4.0 years ago by krithikkm200 • 10
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prove that $\tan 70^{\circ}-\tan 50^{\circ}-\tan 20^{\circ}=\tan 70^{\circ} \tan 50^{\circ} \tan 20^{\circ}$
engineering mathematics updated 4.0 years ago by krithikkm200 • 10
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Find the adjoint of matrix A = $\left[\begin{array}{lll}{2} & {5} & {3} \\ {3} & {1} & {2} \\ {1} & {2} & {1}\end{array}\right]$
engineering mathematics updated 4.0 years ago by krithikkm200 • 10
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Find the equation of line passing through (4,5) and perpendicular to the line 7x - 5y = 420
engineering mathematics updated 4.0 years ago by krithikkm200 • 10
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Find the length of the perpendicular from the point (2,3) on the line 4x - 6y = 3
engineering mathematics updated 4.0 years ago by krithikkm200 • 10
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Find the equation of line passing through (1,7) and having slope 2 units.
engineering mathematics updated 4.0 years ago by krithikkm200 • 10
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A square grassy plot is of side 100 meters.It has a gravel path 10 meters wide all round it on the inside.Find the area of the path.
engineering mathematics updated 4.0 years ago by krithikkm200 • 10
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Th volume of the sphere is $\frac{88}{21}$ cubic meters. Find its surface area.
engineering mathematics updated 4.0 years ago by krithikkm200 • 10
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Find range & coefficient of range for following data:
engineering mathematics updated 4.0 years ago by krithikkm200 • 10
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Find the equation of straight lines passes through the points (3,5) and (4,6).
engineering mathematics updated 4.0 years ago by krithikkm200 • 10
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A circus tent is cylindrical to height 3m and conical above it, If its diameter is 105m and slant height of cone is 5m, calculate the area of total canvas required.
engineering mathematics updated 4.0 years ago by krithikkm200 • 10
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The area of a rectangular courtyard is 3000 sq.m.. Its sides are in the ratio 6:5. Find the perimeter of courtyard.
engineering mathematics updated 4.0 years ago by krithikkm200 • 10
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Using matrix inversion method , save x + y + z = 3; x + 2y + 3z = 4; x + 4y 9z = 6
engineering mathematics updated 4.0 years ago by krithikkm200 • 10
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The length of one side of the rectangle is twice the length of the adjacent side. If the perimeter of rectangle is 60 cms. find the area of the rectangle .
engineering mathematics updated 4.0 years ago by krithikkm200 • 10
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Without using the calculator, find the value of $sec(3660^{o})$
engineering mathematics updated 4.0 years ago by krithikkm200 • 10
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Find range and coeefficient of range for the data: 120,50,90,100,180,200,150,40,80
engineering mathematics updated 4.0 years ago by krithikkm200 • 10
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Find the area of the triangle whose vertices are (4,3) (1,4) and (2,3)
engineering mathematics updated 4.0 years ago by krithikkm200 • 10
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Prove that $\frac{sin4A + sin5A + sin6A}{cos4A + cos5A + cos6A} = tan5A$
engineering mathematics updated 4.0 years ago by krithikkm200 • 10
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Find the equation of the line through the point of intersection of lines, 4x+3y=8; and x+y=1 and parallel to the line 5x-7y=3
engineering mathematics updated 4.0 years ago by krithikkm200 • 10
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Find the distance between the parallel lines 3x-y+7=0 and 3x-y+16=0
engineering mathematics updated 4.0 years ago by krithikkm200 • 10
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Find the acute angle between the lines 2x+3y+5=0 and x-2y-4=0
engineering mathematics updated 4.0 years ago by krithikkm200 • 10
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Without using calculator find the value of sin $105^{0}$
engineering mathematics updated 4.0 years ago by krithikkm200 • 10
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If, $a=\cos \alpha+i \sin \alpha, b=\cos \beta+i \sin \beta$ and $c=\cos \gamma+i \sin \gamma$ find the value of, $\frac{a b}{c}-\frac{c}{a b}$.
engineering mathematics updated 4.0 years ago by thambisrilalith126 • 20
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