Recent questions tagged trignometric-equations

If $x>1,y>1,z>1$ are in G.P then $\large\frac{1}{1+ln\; x},\frac{1}{1+ln\; y},\frac{1}{1+ln \;z}$ are in

asked Nov 19, 2013 by sreemathi.v

1 answer

The number of all possible values of $\theta$ where $0 < \theta < \pi$ for which the system of equations $(y+z)\cos 3\theta=(xyz)\sin 3\theta$,$x\sin 3\theta=\large\frac{2\cos 3\theta}{y}+\frac{2\sin 3\theta}{z}$,$(xyz)\sin 3\theta=(y+2z)\cos 3\theta+y\sin 3\theta$ have a solution $(x_0,y_0,z_0)$ with $y_0,z_0\neq 0$ is

asked Nov 18, 2013 by sreemathi.v

1 answer

The positive integer value of $n>3$ satisfying the equation $\large\frac{1}{\sin\big(\Large\frac{\pi}{n}\big)}=\frac{1}{\sin\big(\Large\frac{2\pi}{n}\big)}+\frac{1}{\sin\big(\Large\frac{3\pi}{n}\big)}$ is

asked Nov 18, 2013 by sreemathi.v

1 answer

Two sides of a $\Delta$le are given by the roots of the equation $x^2-2\sqrt 3x+2=0$,The angle between the sides is $\large\frac{\pi}{3}$.The perimeter of the triangle is

asked Nov 18, 2013 by sreemathi.v

1 answer

The number of values of $x$ in $[0,2\pi]$ satisfying the equation $3\cos 2x-10\cos x+7=0$ is?

asked Nov 18, 2013 by sreemathi.v

1 answer

The solution of the equation $4\sin^4x+\cos^4x=1$ is

asked Nov 18, 2013 by sreemathi.v

1 answer

The number of values of $x$ in the interval $[0,3\pi]$ .Satisfying the equation $2\sin^2x+5\sin x-3=0$ is

asked Nov 18, 2013 by sreemathi.v

1 answer

The number of solutions of the pair of equations $2\sin^2\theta-\cos 2\theta=0$ and $\cos^2\theta-3\sin\theta=0$ in the interval $[0,2\pi]$ is

asked Nov 15, 2013 by sreemathi.v

1 answer

If $x\sin^3\theta+y\cos^3\theta=\sin\theta\cos\theta$ and $x\sin\theta=y\cos\theta$ then $x^2+y^2$ is

asked Nov 15, 2013 by sreemathi.v

1 answer

Let $f(x) =x^2$ and $g(x)=\sin x$ for all $x\in R$ .Then the set of all $x$ satisfying $(fogogof)(x)=(gogof)(x)$ where $fog(x)=f(g(x))$ is

asked Oct 21, 2013 by sreemathi.v

1 answer

The value of the expression $\large\frac{\sin^3x}{1+\cos x}+\frac{\cos^3x}{1-\sin x}$ is

asked Oct 21, 2013 by sreemathi.v

1 answer

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

asked Oct 21, 2013 by sreemathi.v

1 answer

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

asked Oct 18, 2013 by sreemathi.v

1 answer

If $A+B+C=\pi$ then the value of $\sin\large\frac{A}{2}$$+\sin\large\frac{B}{2}$$+\sin\large\frac{C}{2}$ is equal to

asked Oct 18, 2013 by sreemathi.v

1 answer

If $\tan\alpha=\large\frac{p}{q}$ where $\alpha=6\beta$ .$\alpha$ being acute angle,then $\large\frac{1}{2}$$[p\; \mathrm{ cosec} 2\beta-q\sec 2\beta]$ is equal to

asked Oct 18, 2013 by sreemathi.v

1 answer

The value of $\large\frac{\sec 8\theta-1}{\sec 4\theta-1}$ is equal to

asked Oct 18, 2013 by sreemathi.v

1 answer

If $\alpha,\beta,\gamma\in (0,\large\frac{\pi}{2})$ then $\sin\alpha+\sin\beta+\sin\gamma$ is

asked Oct 18, 2013 by sreemathi.v

1 answer

If $\sin\alpha+\sin\beta=a,\cos\alpha+\cos\beta=b$ then $\cos(\alpha+\beta)$ is equal to

asked Oct 18, 2013 by sreemathi.v

1 answer

The number of solutions of the pair of equations $2\sin^2\theta-\cos 2\theta=0,2\cos^2\theta-3\sin\theta=0$ in the interval $[0,2\pi]$ is

asked Oct 17, 2013 by sreemathi.v

1 answer

The solution set of the system of equational $x+y=\large\frac{2\pi}{3}$$,\cos x+\cos y=\large\frac{3}{2}$ where $x$ and $y$ are real is

asked Oct 17, 2013 by sreemathi.v

1 answer

If $\pi < \theta < \large\frac{3\pi}{2}$ the expression $\sqrt{4\sin^4\theta+\sin^22\theta}+4\cos^2\big(\large\frac{\pi}{4}-\frac{\theta}{2}\big)$ is equal to

asked Oct 17, 2013 by sreemathi.v

1 answer

Simplify :$\large\frac{\sin 7x-\sin 3x-\sin 5x+\sin x}{\cos 7x+\cos 3x-\cos 5x-\cos x}$

asked Oct 16, 2013 by sreemathi.v

1 answer

If $\large\frac{\sin^4\theta}{2}+\frac{\cos^4\theta}{2}=\frac{1}{5}$ then

asked Oct 16, 2013 by sreemathi.v

1 answer

Simplify : $\large\frac{\sin\big(\Large\frac{3\pi}{2}-\theta\big)\cos\big(\Large\frac{\pi}{2}+\theta\big)}{\tan\big(\Large\frac{\pi}{2}+\theta\big)}-\frac{\sin\big(\Large\frac{3\pi}{2}-\theta\big)}{\sec\big(\pi+\theta\big)}$

asked Oct 16, 2013 by sreemathi.v

1 answer

If $p$ and $q$ are +ve real numbers such that $p^2+q^2=1$ then the maximum value of $(p+q)$ is

asked Oct 16, 2013 by sreemathi.v

1 answer

The maximum value of the expression $\large\frac{1}{\sin^2\theta+3\sin\theta\cos\theta+5\cos^2\theta}$ is

asked Oct 15, 2013 by sreemathi.v

1 answer

If $\sqrt{a+b}\tan\large\frac{\theta}{2}$$=\sqrt{a-b}\tan\large\frac{ \phi}{2}$ then $(b-a\sec \theta)(b+a\cos\phi)$ has maximum value $\lambda$ then $\lambda$ is

asked Oct 15, 2013 by sreemathi.v

1 answer

If $a\cos 2\theta+b\sin 2\theta=c$ has $\alpha$ & $\beta$ as its solutions then $\tan\alpha+\tan\beta$ and $\tan\alpha\tan\beta$ is equal to

asked Oct 15, 2013 by sreemathi.v

1 answer

If $\sin\alpha\sin\beta-\cos\alpha\cos\beta+1=0$ then the value of $\cot\alpha\tan\beta$ is

asked Oct 15, 2013 by sreemathi.v

1 answer

If $\alpha,\beta,\gamma,\delta$ are the solutions of the equation $\tan\big(\theta+\large\frac{\pi}{4}\big)=$$3\tan 3\theta$,no two of which have equal tangents,then the value of $\tan\alpha+\tan\beta+\tan\gamma+\tan\delta$ is equal to

asked Oct 15, 2013 by sreemathi.v

1 answer