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Recent questions tagged ch2

Find the value of $m$ for which the vectors $\overrightarrow{a}=\overrightarrow{3i}+\overrightarrow{2j}+\overrightarrow{9k}$ and $\overrightarrow{b}=\overrightarrow{i}+\overrightarrow{mj}+\overrightarrow{3k}$ are parallel

asked Apr 2, 2013 by poojasapani_1

1 answer

Find $\lambda $ so that the vectors $\overrightarrow{2i}+\overrightarrow{\lambda\;j}+\overrightarrow{k}$ and $\overrightarrow{i}- \overrightarrow{2j} +\overrightarrow{k}$ are perpendicular to each other.

asked Apr 2, 2013 by poojasapani_1

1 answer

If $\overrightarrow{a} =\overrightarrow{i} + \overrightarrow{j}+\overrightarrow{2k}\; and\; \overrightarrow{b}=\overrightarrow{3i} +\overrightarrow{2j}-\overrightarrow{k}$ find $(\overrightarrow{a}+\overrightarrow{3b}) . (\overrightarrow{2a}-\overrightarrow{b})$

asked Apr 2, 2013 by poojasapani_1

1 answer

Find $ \overrightarrow{a} .\overrightarrow{b}$ when $\overrightarrow{a}=\overrightarrow{2i}+\overrightarrow{2j}-\overrightarrow{k} $ and$ \overrightarrow{b} =\overrightarrow{6i}-\overrightarrow{3j}+\overrightarrow{2k}$

asked Apr 2, 2013 by poojasapani_1

1 answer

What is the value of the function: $\large \frac{1}{4} $$\sin^{-1}\large\frac{2\sqrt 2}{3}$$+\sin^{-1}\large\frac{1}{3} $

asked Mar 14, 2013 by balaji.thirumalai

1 answer

Evaluate $\tan^{-1} \left (\large \frac {{\sqrt {1+x}}-{\sqrt {1-x}}}{{\sqrt {1+x}}+{\sqrt {1-x}}} \right )$$,\frac{-1}{\sqrt2} \leq x \leq 1$

asked Mar 14, 2013 by balaji.thirumalai

1 answer

Find the value of the following function: $tan^{-1} \frac{1}{5}+ tan^{-1} \frac{1}{7}+tan^{-1}\frac{1}{3}+tan^{-1} \frac{1}{8}$

asked Mar 14, 2013 by balaji.thirumalai

1 answer

Prove the following function: 7.$ tan^{-1}\frac{63}{16} = sin^{-1} \frac{5}{13}+cos^{-1} \frac {3}{5}$

asked Mar 14, 2013 by balaji.thirumalai

1 answer

What does $cos^{-1} \frac {12}{13} +sin^{-1} \frac{3}{5}$ reduce to?

asked Mar 14, 2013 by balaji.thirumalai

1 answer

What does $cos^{-1} \frac {4}{5} +cos^{-1} \frac{12}{13}$ reduce to?

asked Mar 14, 2013 by balaji.thirumalai

1 answer

What does $sin^{-1} \frac{8}{17} +sin^{-1} \frac{3}{5}$ reduce to?

asked Mar 14, 2013 by balaji.thirumalai

1 answer

What does $2sin^{-1} \frac{3}{5}$ reduce to?

asked Mar 14, 2013 by balaji.thirumalai

1 answer

What is the value of $\tan^{-1}\large \frac{2}{11}$$ +tan^{-1} \large \frac{7}{24}$?

asked Mar 14, 2013 by balaji.thirumalai

1 answer

Which of the following is equal to $cos\;3x$?

asked Mar 12, 2013 by balaji.thirumalai

1 answer

What is the value of $3\:sinA-4\;sin^3A$?

asked Mar 12, 2013 by balaji.thirumalai

1 answer

What is the value of $2\;tan^{-1}x$ given $–1\leq x \leq 1$?

asked Mar 12, 2013 by balaji.thirumalai

1 answer

What is the value of $2\;tan^{-1}x$ given $x \geq 0$?

asked Mar 12, 2013 by balaji.thirumalai

1 answer

What is the value of $tan^{-1}x- tan^{-1}y$ given $x<0$, $y>0$ and $xy<-1$?

asked Mar 12, 2013 by balaji.thirumalai

1 answer

What is the value of $tan^{-1}x- tan^{-1}y$ given $x>0$. $y<0$ and $xy<-1$?

asked Mar 12, 2013 by balaji.thirumalai

1 answer

What is the value of $tan^{-1}x + tan^{-1}y$ given $xy>1$ and $x,y <0$?

asked Mar 12, 2013 by balaji.thirumalai

1 answer

What is the value of $tan^{-1}x - tan^{-1}y$ given $xy > -1$?

asked Mar 12, 2013 by balaji.thirumalai

1 answer

What is the value of $tan^{-1}x+tan^{-1}y$ given $x,y >0$ and $xy >1$?

asked Mar 12, 2013 by balaji.thirumalai

1 answer

What is the value of $tan^{-1}x+tan^{-1}y$ given $xy <1$?

asked Mar 12, 2013 by balaji.thirumalai

1 answer

What is the value of $cos^{-1}x-cos^{-1}y$

asked Mar 12, 2013 by balaji.thirumalai

1 answer

What is the value of $sin^{-1}(x) - sin^{-1}(y)$?

asked Mar 12, 2013 by balaji.thirumalai

1 answer

What is the value of $cos^{-1}x+cos^{-1}y$?

asked Mar 12, 2013 by balaji.thirumalai

1 answer

What is the value of $sin^{-1}(x) + sin^{-1}(y)$?

asked Mar 12, 2013 by balaji.thirumalai

1 answer

What is the value of $cosec^{-1}(x)+sec^{-1}(x)$?

asked Mar 12, 2013 by balaji.thirumalai

1 answer

What is the value of $cot^{-1}(x) + tan^{-1}(x)$?

asked Mar 12, 2013 by balaji.thirumalai

1 answer

What is the value of $sin^{-1}(x) + cos^{-1}(x)$?

asked Mar 12, 2013 by balaji.thirumalai

1 answer

What is the value of $cosec^{-1}(-x)$

asked Mar 12, 2013 by balaji.thirumalai

1 answer

What is the value of $sec^{-1}(-x)$

asked Mar 12, 2013 by balaji.thirumalai

1 answer

What is the value of $cot^{-1}(-x)$

asked Mar 12, 2013 by balaji.thirumalai

1 answer

What is the value of $tan^{-1}(-x)$

asked Mar 12, 2013 by balaji.thirumalai

1 answer

What is the value of $cos^{-1}(-x)$?

asked Mar 12, 2013 by balaji.thirumalai

1 answer

What is the value of $sin^{-1}(-x)$?

asked Mar 12, 2013 by balaji.thirumalai

1 answer

What is the value of $tan^{-1} \frac{1}{x}$

asked Mar 12, 2013 by balaji.thirumalai

1 answer

What is the value of $cos^{-1}\frac{1}{x}$?

asked Mar 12, 2013 by balaji.thirumalai

1 answer

What is the value of $sin^{-1}\frac{1}{x}$

asked Mar 12, 2013 by balaji.thirumalai

1 answer

What is the value of $cos^{-1}$$cos(x)$?

asked Mar 12, 2013 by balaji.thirumalai

1 answer

What is the value of $sin^{-1}sinx$?

asked Mar 12, 2013 by balaji.thirumalai

1 answer

$sin^{-1}x = (sin x)^{-1}$. True or False?

asked Mar 12, 2013 by balaji.thirumalai

1 answer

What is the range of the principal value of $\; cot^{-1}x$?

asked Mar 12, 2013 by balaji.thirumalai

1 answer

What is the range of the principal value of $\; sec^{-1}x$?

asked Mar 12, 2013 by balaji.thirumalai

1 answer

What is the range of the principal value of $\; cosec^{-1}x$?

asked Mar 12, 2013 by balaji.thirumalai

1 answer

What is the range of the principal value of $\tan^{-1}x$?

asked Mar 12, 2013 by balaji.thirumalai

1 answer

What is the range of the principal value of $\sin^{-1}x$?

asked Mar 12, 2013 by balaji.thirumalai

1 answer

What is the range of the principal value of $\cos^{-1}x$?

asked Mar 12, 2013 by balaji.thirumalai

1 answer

Find the simplified form of $cos^{-1}(\frac{3}{5}cos x+\frac{4}{5}sin x),$where $x\in (\frac{-3}{4},\frac{3}{4})$

asked Feb 19, 2013 by sreemathi.v

1 answer

Prove that $tan^{-1}\frac{\sqrt{1+x^2}+\sqrt{1-x^2}}{\sqrt{1+x^2}-\sqrt{1-x^2}}=\frac{\pi}{4}+\frac{1}{2}cos^{-1}x^2$

asked Feb 19, 2013 by sreemathi.v

1 answer

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