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25k
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Compute the standard deviation for 15 , 22 , 27 , 11 , 9 , 21 , 14 , 9.
engineering mathematics updated 2.6 years ago by pedsangini276 • 4.8k
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7.1k
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If tan(x +y) = 3/4 and tan (x - y) = 8/15. prove that tan2x = 77/36
engineering mathematics updated 2.6 years ago by pedsangini276 • 4.8k
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742
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If $A = 30^{o}$, verify that i) sin2A = 2sinAcosA ii) cos2A = $\frac{1-tan_{2}A}{1+tan_{2}A}$
engineering mathematics updated 2.6 years ago by pedsangini276 • 4.8k
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1.6k
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prove that cos20cos40cos60cos80 = $\frac{1}{16}$
engineering mathematics updated 2.6 years ago by pedsangini276 • 4.8k
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910
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If A = $\quad \begin{bmatrix} 2 & 5 & 6\\ 0 & 1 & 2 \end{bmatrix}, B = \quad \begin{bmatrix} 6 & 1 \\ 0 & 4 \\ 5 & 7 \end{bmatrix}$, Verify that $(AB)^{T} = B^{T}A^{T}$
engineering mathematics updated 2.6 years ago by pedsangini276 • 4.8k
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693
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prove that $Cos^{-1}\big(\frac{4}{5}\big) + Cos^{-1}\big(\frac{12}{13}\big) = Cos^{-1}\big(\frac{33}{65}\big)$
engineering mathematics updated 2.6 years ago by pedsangini276 • 4.8k
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677
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Resolve into partial fraction $\frac{x^{3}- x + 3}{(x-2)(x^{2}+1)}$
engineering mathematics updated 2.6 years ago by pedsangini276 • 4.8k
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710
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prove that : $sin(A+B)sin(A-B) = sin^{2}A-sin^{2}B$
engineering mathematics updated 2.6 years ago by pedsangini276 • 4.8k
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766
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If $sinA = \frac{1}{2}$, find the value of sin3A
engineering mathematics updated 2.6 years ago by pedsangini276 • 4.8k
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2.7k
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If A and B are obtuse angles and $sinA = \frac{5}{13}$ and $cosB = -\frac{4}{5}$ then find sin(A+B)
engineering mathematics updated 2.6 years ago by pedsangini276 • 4.8k
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550
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Find the value of $log\big(\frac{2}{3}\big) + log\big(\frac{4}{5}\big) - log\big(\frac{8}{15}\big)$
engineering mathematics updated 2.6 years ago by pedsangini276 • 4.8k
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Find the area of the triangle whose vertices are (3,1),)(1,3) and (-3,-2).
engineering mathematics updated 2.6 years ago by pedsangini276 • 4.8k
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3.1k
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Find the surface of the cuboid of dimensions 26 cms, 20 cms, and 12 cms.
engineering mathematics updated 2.6 years ago by pedsangini276 • 4.8k
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2.8k
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If coefficient of variation of a disturbance is 75% and standard deviation is 24, find its mean.
engineering mathematics updated 2.6 years ago by pedsangini276 • 4.8k
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3.0k
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If A = \begin{bmatrix} 3 & -1 \\ 2 & 4 \end{bmatrix}, B = \begin{bmatrix} 1 & 2 \\ -3 & 0 \end{bmatrix}. Find X such that 2X +3A - 4B = I.
engineering mathematics updated 2.6 years ago by pedsangini276 • 4.8k
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582
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Resolve into partial fractions $\frac{x^{2}+1}{x(x^{2}-1)}$
engineering mathematics updated 2.6 years ago by pedsangini276 • 4.8k
1
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1
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6.3k
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Calculate the mean deviation about the mean of the following data: 3,6,5,7,10,12,15,18
engineering mathematics updated 2.6 years ago by pedsangini276 • 4.8k
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2.3k
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Without using calculator find the value of $\cos 570^{\circ} \sin 510^{\circ}+\sin \left(-330^{\circ}\right) \cos \left(-390^{\circ}\right)$
engineering mathematics updated 2.6 years ago by pedsangini276 • 4.8k
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817
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prove that $\frac{\sin 4 \theta+\sin 2 \theta}{1+\cos 2 \theta+\cos 4 \theta}=\tan 2 \theta$
engineering mathematics updated 2.6 years ago by pedsangini276 • 4.8k
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648
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1
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prove that $\frac{\sin 3 A-\sin A}{\cos 3 A+\cos A}=\tan A$
engineering mathematics updated 2.6 years ago by pedsangini276 • 4.8k
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596
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1
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prove that $\tan ^{-1} \frac{1}{4}+\tan ^{-1} \frac{2}{9}=\cot ^{-1} 2$
engineering mathematics updated 2.6 years ago by pedsangini276 • 4.8k
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532
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1
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Resolve into partial fractions $\frac{2 x+1}{(x-1)\left(x^{2}+1\right)}$
engineering mathematics updated 2.6 years ago by pedsangini276 • 4.8k
0
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1
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579
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1
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prove that$(\cos 20^{0} \cdot \cos 40^{0} \cdot \cos 60^{0} \cdot \cos 80^{0}=\frac{1}{16}$
engineering mathematics updated 2.6 years ago by pedsangini276 • 4.8k
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600
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1
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If $tan\frac{\theta}{2} = \frac{2}{3} find the value of 2sin\theta + 3sin\theta.$
engineering mathematics updated 2.6 years ago by pedsangini276 • 4.8k
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5.9k
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Find the length of the perpendicular from the point (5,4) on the straight line 2x+y=34.
engineering mathematics updated 2.6 years ago by pedsangini276 • 4.8k
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