Recent questions tagged inverse-trigonometric-functions

If $\tan^{-1}(x-1)+\tan^{-1}x+\tan^{-1}(x+1)=\tan^{-1}3x$ then $x$ is

asked Nov 19, 2013 by sreemathi.v

1 answer

If $\cos^{-1}x-\cos^{-1}\large\frac{y}{2}$$=\alpha$ then $4x^2-4xy.\cos \alpha-y^2$ is equal to

asked Nov 19, 2013 by sreemathi.v

1 answer

If $\sin^{-1}\big(x-\large\frac{x^2}{2}+\frac{x^3}{4}-........)$$+\cos^{-1}(x^2-\large\frac{x^4}{2}+\frac{x^6}{4}.......)=\large\frac{\pi}{2}$.For $0<\mid x\mid<\sqrt 2$ then $x$ equals

asked Nov 18, 2013 by sreemathi.v

1 answer

Find all positive integral solutions of the equation $\tan^{-1}x+\cot^{-1}y=\tan^{-1}3$

asked Nov 18, 2013 by sreemathi.v

1 answer

The value of $x$ where $d>0$ and $\tan[\sec^{-1}\big(\large\frac{1}{x}\big)]=$$\sin(\tan^{-1}2)$ is

asked Nov 18, 2013 by sreemathi.v

1 answer

If $\cot^{-1}(\sqrt{\cos\alpha})-\tan^{-1}(\sqrt{\cos\alpha})=x$ then $\sin x$ is equal to

asked Nov 18, 2013 by sreemathi.v

1 answer

Solve for $x$: $\tan^{-1}x+2\cot^{-1}x=\large\frac{2\pi}{3}$.

asked Nov 15, 2013 by sreemathi.v

1 answer

If $-\large\frac{x}{2}$$<\sin^{-1}x<\large\frac{x}{2}$ then $\tan(\sin^{-1}x)$ is equal to

asked Nov 15, 2013 by sreemathi.v

1 answer

If $\tan^{-1}\big(\large\frac{a}{x}\big)$$+\tan^{-1}\big(\large\frac{b}{x}\big)=\frac{\pi}{2}$ then $x$ is equal to

asked Nov 15, 2013 by sreemathi.v

1 answer

If $\tan^{-1}\large\frac{1}{a-1}$$=\tan^{-1}x+\tan^{-1}(x+1)=\tan^{-1}3x$ is

asked Nov 15, 2013 by sreemathi.v

1 answer

Find all possible values of $p$ and $q$ for which $\cos^{-1}\sqrt p+\cos^{-1}\sqrt{1-p}=\large\frac{3\pi}{4}$

asked Oct 21, 2013 by sreemathi.v

1 answer

Let $a,b,c$ be positive real numbers .Let $\theta=\tan^{-1}\sqrt{\large\frac{a(a+b+c)}{bc}}+$$\tan^{-1}\sqrt{\large\frac{b(a+b+c)}{ca}}$$+\tan^{-1}\sqrt{\large\frac{c(a+b+c)}{ab}}$.Then $\tan\theta$

asked Oct 21, 2013 by sreemathi.v

1 answer

Evaluate : $\sin^{-1}\large\frac{4}{5}$$+\sin^{-1}\large\frac{5}{13}$$+\sin^{-1}\large\frac{16}{65}$

asked Oct 17, 2013 by sreemathi.v

1 answer

Find the value of $\tan\big[\large\frac{1}{2}$$\big(\sin^{-1}\large\frac{2x}{1+x^2}+$$\cos^{-1}\large\frac{1-y^2}{1+y^2}\big)\big],$$\mid x\mid < 1,y > 0$ and $xy <1$

asked Oct 17, 2013 by sreemathi.v

1 answer

Evaluate : $\tan\big[\large\frac{1}{2}$$\cos^{-1}\large\frac{\sqrt 5}{3}\big]$

asked Oct 17, 2013 by sreemathi.v

1 answer

$\cot^{-1}\big(\sqrt{\cos\alpha}-\tan^{-1}(\sqrt{\cos\alpha}\big)=x$ then $\sin x=?$

asked Oct 16, 2013 by sreemathi.v

1 answer

Find $\cos\tan^{-1}\sin\cot^{-1}x$

asked Oct 16, 2013 by sreemathi.v

1 answer

The value of $\cot\sum\limits_{n=1}^{23}\cot^{-1}\big(1+\sum\limits_{k=1}^n 2k\big)$ is

asked Oct 16, 2013 by sreemathi.v

1 answer