Recent questions tagged p48

Write the following in the simplest form: $ \tan^{-1} \large \frac{x}{\sqrt {a^2 - x^2}},$$ | x | < a $

asked Dec 10, 2012 by thanvigandhi_1

1 answer

Write the following function in the simplest form:\[ tan^{-1} \bigg( \frac{3a^2x-x^3}{a^3-3ax^2} \bigg), a > 0 ; \frac{-a}{\sqrt 3} \leq x \leq \frac{a}{\sqrt 3} \]

asked Dec 10, 2012 by thanvigandhi_1

1 answer

Find the value of $ \tan^{-1} \bigg[ 2\cos \bigg(2\sin^{-1}\frac{1}{2}\bigg) \bigg] $

asked Dec 10, 2012 by thanvigandhi_1

1 answer

Find the value of \[ \cot \;( \tan^{-1}a + \cot^{-1}a) \]

asked Dec 10, 2012 by thanvigandhi_1

1 answer

Find the value of \[ tan\frac{1}{2} \bigg[ sin^{-1} \frac{2x}{1+x^2} + cos^{-1} \frac{1-y^2}{1+y^2} \bigg], | x | < 1, y > 0 \: and \: xy < 1\]

asked Dec 10, 2012 by thanvigandhi_1

1 answer

Find the value of $x$ if $ sin \bigg ( sin^{-1} \frac{1}{5} + cos^{-1} \: x \bigg) = 1$.

asked Dec 10, 2012 by thanvigandhi_1

1 answer

If $ \tan^{-1} \frac{\large x-1}{\large x-2} + \tan^{-1} \frac{\large x+1}{\large x+2} = \frac{\large \pi}{\large 4} $ then find the value of $x$

asked Dec 10, 2012 by thanvigandhi_1

1 answer

Find the values of \[ sin^{-1} \bigg( sin \frac{2\pi}{3} \bigg) \]

asked Dec 10, 2012 by thanvigandhi_1

1 answer

Find the value of the expression in \[ tan^{-1} \bigg( tan \frac{3\pi}{4} \bigg) \]

asked Dec 10, 2012 by thanvigandhi_1

1 answer

Find the values of the expression $ \tan \bigg( \sin^{-1} \frac{3}{5} + \cot^{-1} \frac{3}{2} \bigg) $

asked Dec 10, 2012 by thanvigandhi_1

1 answer

Find the value of the expression $\cos^{-1} \bigg(\cos \frac{\large 7\pi}{\large 6} \bigg) $

asked Dec 10, 2012 by thanvigandhi_1

1 answer

Find the values of each of the expressions in $ \sin \bigg(\frac{\pi}{3} - \sin^{-1} ( -\frac{1}{2} ) \bigg) $ is equal to

asked Dec 10, 2012 by thanvigandhi_1

1 answer

Find the value of $ \tan^{-1} \sqrt 3 - \cot^{-1} (-\sqrt 3)$

asked Dec 10, 2012 by thanvigandhi_1

1 answer

Ask Questions, Get Answers

Write the following in the simplest form: $ \tan^{-1} \large \frac{x}{\sqrt {a^2 - x^2}},$$ | x | < a $

Write the following function in the simplest form:\[ tan^{-1} \bigg( \frac{3a^2x-x^3}{a^3-3ax^2} \bigg), a > 0 ; \frac{-a}{\sqrt 3} \leq x \leq \frac{a}{\sqrt 3} \]

Find the value of $ \tan^{-1} \bigg[ 2\cos \bigg(2\sin^{-1}\frac{1}{2}\bigg) \bigg] $

Find the value of \[ \cot \;( \tan^{-1}a + \cot^{-1}a) \]

Find the value of \[ tan\frac{1}{2} \bigg[ sin^{-1} \frac{2x}{1+x^2} + cos^{-1} \frac{1-y^2}{1+y^2} \bigg], | x | < 1, y > 0 \: and \: xy < 1\]

Find the value of $x$ if \( sin \bigg ( sin^{-1} \frac{1}{5} + cos^{-1} \: x \bigg) = 1\).

If $ \tan^{-1} \frac{\large x-1}{\large x-2} + \tan^{-1} \frac{\large x+1}{\large x+2} = \frac{\large \pi}{\large 4} $ then find the value of $x$

Find the values of \[ sin^{-1} \bigg( sin \frac{2\pi}{3} \bigg) \]

Find the value of the expression in \[ tan^{-1} \bigg( tan \frac{3\pi}{4} \bigg) \]

Find the values of the expression $ \tan \bigg( \sin^{-1} \frac{3}{5} + \cot^{-1} \frac{3}{2} \bigg) $

Find the value of the expression $\cos^{-1} \bigg(\cos \frac{\large 7\pi}{\large 6} \bigg) $

Find the values of each of the expressions in $ \sin \bigg(\frac{\pi}{3} - \sin^{-1} ( -\frac{1}{2} ) \bigg) $ is equal to

Find the value of $ \tan^{-1} \sqrt 3 - \cot^{-1} (-\sqrt 3)$