Recent questions tagged exercise3-3

$2\sin ^2\large\frac{3\pi}{4}$$+2\cos^2\large\frac{\pi}{4}$$+2\sec^2\large\frac{\pi}{3}$ =

asked Jul 3, 2018 by pady_1

1 answer

Prove :$\cos 6x=32\cos ^6x-48\cos^4x+18\cos^2x-1$

asked Apr 17, 2014 by sreemathi.v

1 answer

Prove : $\cos 4x=1-8\sin^2x\cos^2x$

asked Apr 17, 2014 by sreemathi.v

1 answer

Prove : $\tan 4x=\large\frac{4\tan x(1-\tan^2x)}{1-6\tan^2x+\tan^4x}$

asked Apr 17, 2014 by sreemathi.v

1 answer

Prove : $\cot x\cot 2x-\cot 2x\cot 3x-\cot 3x.\cot x$=1

asked Apr 17, 2014 by sreemathi.v

1 answer

Prove $\large\frac{\cos 4x+\cos 3x+\cos 2x}{\sin 4x+\sin 3x+\sin 2x}$$=\cot 3x$

asked Apr 17, 2014 by sreemathi.v

1 answer

Prove $\large\frac{\sin x-\sin 3x}{\sin^2x-\cos^2x}$$=2\sin x$

asked Apr 17, 2014 by sreemathi.v

1 answer

Prove $\large\frac{\sin x+\sin 3x}{\cos x+\cos 3x}$$=\tan 2x$

asked Apr 17, 2014 by sreemathi.v

1 answer

Prove : $\large\frac{\sin x-\sin y}{\cos x+\cos y}$$=\tan\large\frac{x-y}{2}$

asked Apr 17, 2014 by sreemathi.v

1 answer

Prove :$\large\frac{\sin 5x+\sin 3x}{\cos 5x+\cos 3x}$$=\tan 4x$

asked Apr 17, 2014 by sreemathi.v

1 answer

Prove : $\large\frac{\cos 9x-\cos 5x}{\sin 17x-\sin 3x}=-\frac{\sin 2x}{\cos 10x}$

asked Apr 17, 2014 by sreemathi.v

1 answer

Prove : $\cot 4x(\sin 5x+\sin 3x)=\cot x(\sin 5x-\sin 3x)$

asked Apr 17, 2014 by sreemathi.v

1 answer

Prove : $\sin 2x+2\sin 4x+\sin 6x=4\cos^2x\sin 4x$

asked Apr 17, 2014 by sreemathi.v

1 answer

Prove : $\cos^22x-\cos^26x=\sin 4x.\sin 8x$

asked Apr 17, 2014 by sreemathi.v

1 answer

Prove : $\sin^26x-\sin^24x=\sin 2x.\sin 10x$

asked Apr 17, 2014 by sreemathi.v

1 answer

Prove : $\cos(\large\frac{3\pi}{4}$$+x)-\cos(\large\frac{3\pi}{4}$$-x)=-\sqrt 2\sin x$

asked Apr 17, 2014 by sreemathi.v

1 answer

Prove : $\sin(n+1)x\sin(n+2)x+\cos(n+1)x\cos(n+2)x=\cos x$

asked Apr 17, 2014 by sreemathi.v

1 answer

$\cos (\large\frac{3\pi}{2}+$$x)\cos(2\pi+x)[\cot(\large\frac{3\pi}{2}$$-x)+\cot(2\pi+x)]=1$

asked Apr 17, 2014 by sreemathi.v

1 answer

Prove : $\large\frac{\cos(\pi+x)\cos(-x)}{\sin (\pi-x)\cos(\large\frac{\pi}{2}+\normalsize x)}=$$\cot^2x$

asked Apr 17, 2014 by sreemathi.v

1 answer

Prove :$\large\frac{\tan(\Large\frac{\pi}{4}\normalsize +x)}{\tan(\Large\frac{\pi}{4}\normalsize -x)}=\big(\large\frac{1+\tan x}{1-\tan x}\big)^2$

asked Apr 17, 2014 by sreemathi.v

1 answer

Prove : $\cos(\large\frac{\pi}{4}$$-x)\cos (\large\frac{\pi}{4}$$-y)-\sin(\large\frac{\pi}{4}$$-x)\sin (\large\frac{\pi}{4}$$-y)=\sin (x+y)$

asked Apr 17, 2014 by sreemathi.v

1 answer

Find the value : $\tan 15^{\large\circ}$

asked Apr 17, 2014 by sreemathi.v

1 answer

Find the value :$\sin 75^{\large\circ}$

asked Apr 17, 2014 by sreemathi.v

1 answer

Prove : $2\sin ^2\large\frac{3\pi}{4}$$+2\cos^2\large\frac{\pi}{4}$$+2\sec^2\large\frac{\pi}{3}$$=10$

asked Apr 17, 2014 by sreemathi.v

1 answer

Prove : $\cot^2\large\frac{\pi}{6}$$+cosec \large\frac{5\pi}{6}$$+3\tan^2\large\frac{\pi}{6}$$=6$

asked Apr 17, 2014 by sreemathi.v

1 answer

Prove : $2\sin^2\large\frac{\pi}{6}+$$cosec ^2\large\frac{7\pi}{6}$$\cos^2\large\frac{\pi}{3}=\large\frac{3}{2}$

asked Apr 17, 2014 by sreemathi.v

1 answer

Prove : $\sin^2\large\frac{\pi}{6}$$+\cos^2\large\frac{\pi}{3}$$-\tan^2\large\frac{\pi}{4}=-\frac{1}{2}$

asked Apr 17, 2014 by sreemathi.v

1 answer

Solve : $6x^{4}-25x^{3}+32x^{2}+3x-10=0$ given that one of the roots is $2-i$.

asked Apr 3, 2013 by geethradh

1 answer

Solve the equation $x^{4}-4x^{3}+11x^{2}-14x+10=0$ if one root is $1+2i$.

asked Apr 3, 2013 by geethradh

1 answer

Solve the equation $x^{4}-8x^{3}+24x^{2}-32x+20$ = 0 if $3+\mathit{i}$ is a root.

asked Apr 3, 2013 by geethradh

1 answer

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