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Recent questions tagged p47

Prove the following: \[ 2 \: tan^{-1} \frac{1}{2} + tan ^{-1} \frac{1}{7} = tan^{-1} \frac{31}{17} \]

asked Dec 10, 2012 by thanvigandhi_1

1 answer

Write the following function in the simplest form: \[ tan^{-1} \frac{\sqrt {1 + x^2} - 1}{x}, x \neq 0\]

asked Dec 10, 2012 by thanvigandhi_1

1 answer

Write the following function in the simplest form: \[ tan^{-1} \frac{1}{\sqrt{x^2 - 1}}, | x | > 1 \]

asked Dec 10, 2012 by thanvigandhi_1

1 answer

Write the following function in the simplest form: \[ tan^{-1} \bigg( \sqrt {\frac{1-cos \: x}{1 + cos \: x}} \bigg), x < \pi\]

asked Dec 10, 2012 by thanvigandhi_1

1 answer

Write the following function in the simplest form: \[ tan^{-1} \bigg( \frac{cos\: x - sin\: x}{cos\: x + sin\: x} \bigg) , 0 < x < \pi \]

asked Dec 10, 2012 by thanvigandhi_1

1 answer

Prove the following\[3\sin^{-1}x=\sin^{-1}(3x-4x^3)\;x\in\bigg[-\frac{1}{2},\frac{1}{2}\bigg]\]

asked Dec 6, 2012 by sreemathi.v

1 answer

Prove the following \[3\cos^{-1}x=\cos^{-1}(4x^3-3x), \;x\;\in\bigg[\frac{1}{2},1\bigg]\]

asked Dec 6, 2012 by sreemathi.v

1 answer

Prove the following\[\tan^{-1}\frac{2}{11}+\tan^{-1}\frac{7}{24}=\tan^{-1}\frac{1}{2}\]

asked Dec 6, 2012 by sreemathi.v

1 answer

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