Recent questions tagged trignometric-identities

Two sides of $\Delta$le are $\sqrt 2-1$ and $\sqrt 2+1$ unit and their included angle is $60^{\large\circ}$.Then the third side of the $\Delta$le is

asked Nov 18, 2013 by sreemathi.v

1 answer

The solution of the equation $[\sin x+\cos x]^{1+\sin 2x}=2,-\pi\leq x\leq \pi$ is

asked Nov 15, 2013 by sreemathi.v

1 answer

Let $A$ and $B$ denote the statements $A=\cos \alpha+\cos \beta+\cos\gamma=0,B=\sin\alpha+\sin\beta+\sin\gamma=0$.If $\cos(\beta-\gamma)+\cos(\gamma-\alpha)+\cos(\alpha-\beta)=-\large\frac{3}{2}$ then

asked Oct 17, 2013 by sreemathi.v

1 answer

If $\tan\theta+\tan\big(\theta+\large\frac{\pi}{3}\big)$$+\tan\big(\theta+\large\frac{2\pi}{3}\big)$$=3$ then which of the following is equal to 1.

asked Oct 16, 2013 by sreemathi.v

1 answer

Evaluate :$\large\frac{1+\sin\theta-\cos\theta}{1+\sin\theta+\cos\theta}$

asked Oct 16, 2013 by sreemathi.v

1 answer

If $\tan\theta=\large\frac{b}{a}$ then find the value of $a^2\cos 2\theta+b\sin 2\theta$

asked Oct 16, 2013 by sreemathi.v

1 answer

The value of $\sin 36^{\large\circ}\sin 72^{\large\circ}\sin 108^{\large\circ}\sin 144^{\large\circ}$ is equal to

asked Oct 16, 2013 by sreemathi.v

1 answer

If $\sin\alpha\sin\beta+1=0$.Find $1+\cot \alpha\tan\beta=0$

asked Oct 16, 2013 by sreemathi.v

1 answer

If $A$ and $B$ are positive acute angles and $\cos A=\large\frac{1}{7},$$\cos B=\large\frac{13}{14}$ then find $A-B$

asked Oct 16, 2013 by sreemathi.v

1 answer

If $\cos(\theta-\alpha)=a$ and $\sin(\theta-\beta)=b$ then $\cos^2(\alpha-\beta)+2ab\sin(\alpha-\beta)$ is equal to

asked Oct 15, 2013 by sreemathi.v

1 answer

If in a $\Delta$ le $ABC,A=\large\frac{\pi}{4}$ and $\tan B\tan C=\alpha$ then the value of $\alpha$ lies in

asked Oct 15, 2013 by sreemathi.v

1 answer

If $x\in(\pi,2\pi)$ and $\large\frac{\sqrt{1+\cos x}+\sqrt{1-\cos x}}{\sqrt{1+\cos x}-\sqrt{1-\cos x}}$$=\cot\big(a+\large\frac{x}{2}\big)$ then $'a'$ is equal to

asked Oct 15, 2013 by sreemathi.v

1 answer

If $A+B+C=\pi$ then $\sin 2A+\sin 2B+\sin 2C$ is equal to

asked Oct 14, 2013 by sreemathi.v

1 answer

If $\tan\alpha=\large\frac{1}{\sqrt{x(x^2+x+1)}}$,$\tan\beta=\large\frac{\sqrt x}{\sqrt{x^2+x+1}}$ and $\tan\gamma=\sqrt{x^{-3}+x^{-2}+x^{-1}}$ then $\alpha+\beta$ is

asked Oct 14, 2013 by sreemathi.v

1 answer

If $\tan A-\tan B=x$ and $\cot B-\cot A=y$ then $\cot(A-B)$ is equal to

asked Oct 14, 2013 by sreemathi.v

1 answer

If $\alpha+\beta=\large\frac{\pi}{2}$ and $\beta+\gamma=\alpha$ then $\tan \alpha$ equals

asked Oct 14, 2013 by sreemathi.v

1 answer

If in $\Delta ABC\; \tan\large\frac{A}{2}=\frac{5}{6}$ and $\tan\large\frac{C}{2}=\frac{2}{5}$ then $a,b,c$ are such that

asked Oct 10, 2013 by sreemathi.v

1 answer

In a $\Delta$le ABC $a:b:c=4:5:6$.The ratio of the radius of the circle to that of the incircle is

asked Oct 10, 2013 by sreemathi.v

1 answer

If $\alpha+\beta=\large\frac{\pi}{2}$ and $\beta+\gamma=\alpha$ then $\tan\alpha$ equals

asked Oct 10, 2013 by sreemathi.v

1 answer

If $\large\frac{2\sin\alpha}{1+\cos\alpha+\sin\alpha}$$=x$ then $\large\frac{1-\cos\alpha+\sin\alpha}{1+\sin\alpha}$=?

asked Oct 10, 2013 by sreemathi.v

1 answer

In $\Delta ABC$ if $\large\frac{1}{b+c}+\frac{1}{c+a}=\frac{3}{a+b+c}$ then $c$ is equal to

asked Oct 10, 2013 by sreemathi.v

1 answer

In a $\Delta$le ABC let $\angle C=\large\frac{\pi}{2}$ if $r$ is the radius and R is the circumference of the $\Delta$le ABC then $2(r+R)$ equals

asked Oct 10, 2013 by sreemathi.v

1 answer

If the angles $A,B,C$ of a $\Delta$le are in arithmetic progression and if $a,b$ and $c$ denote the lengths of the sides opposite to $A,B$ and $C$ respectively,then the value of the expression $\large\frac{a}{c}$$\sin 2C+\large\frac{c}{a}$$\sin 2A$ is

asked Oct 10, 2013 by sreemathi.v

1 answer

Find the area of the $\Delta$ if $a=18,b=24,c=30$

asked Oct 10, 2013 by sreemathi.v

1 answer