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Recent questions tagged basic-trigonometric-functions

If $\sec\theta=m$ and $\tan\theta=n$ then $\large\frac{1}{m}$$\big[(m+n)+\large\frac{1}{(m+n)}\big]$

asked Nov 15, 2013 by sreemathi.v

1 answer

The value of $\sum\limits_{n=1}^{\infty}\large\frac{\tan\bigg(\Large\frac{\theta}{2^n}\bigg)}{2^{n-1}\cos\bigg(\Large\frac{\theta}{2^{n-1}}\bigg)}$ is equal to

asked Oct 18, 2013 by sreemathi.v

1 answer

If $x=\sin^{14}\theta+\cos ^{20}\theta$,then for all $\theta\in R$

asked Oct 18, 2013 by sreemathi.v

1 answer

$\tan 5^{\large\circ}$ is a

asked Oct 17, 2013 by sreemathi.v

1 answer

$\cos\large\frac{\pi}{11}$$\cos\large\frac{2\pi}{11}$$\cos\large\frac{3\pi}{11}..........$$\cos\large\frac{11\pi}{11}$ is equal to

asked Oct 15, 2013 by sreemathi.v

1 answer

Let $f(x)=\cos x(\sin x+\sqrt{\sin^2 x+\sin^2\theta})$ where $\theta$ is a given constant then maximum value of $f(x)$ is

asked Oct 15, 2013 by sreemathi.v

1 answer

The value of $\sin\large\frac{\pi}{14}$$\sin\large\frac{3\pi}{4}$$4\sin\large\frac{5\pi}{14}$$\sin\large\frac{7\pi}{14}$$\sin\large\frac{9\pi}{14}$$\sin\large\frac{11\pi}{14}$$\sin\large\frac{13\pi}{14}$ is equal to

asked Oct 11, 2013 by sreemathi.v

1 answer

Suppose $\sin^2x\sin 3x=\sum\limits_{m=0}^{n}C_m\cos mx$ is an identity in $x$ where $C_0,C_1.......C_n$ are constants and $C_n\neq 0$ then the value of n is

asked Oct 11, 2013 by sreemathi.v

1 answer

Let $\theta\in \big(0,\large\frac{\pi}{4}\big)$ and $t_1=(\tan\theta)^{\large\tan\theta}$,$t_2=(\tan\theta)^{\large\cot\theta}$,$t_3=(\cot\theta)^{\large\tan\theta},t_4=(\cot\theta)^{\large \cot\theta}$ then

asked Oct 10, 2013 by sreemathi.v

1 answer

If $\tan\alpha=\large\frac{1}{7}$ and $\sin\beta=\large\frac{1}{\sqrt {10}}$ where $0\;<\alpha,\beta\;<\;\large\frac{\pi}{2}$ then $2\beta$ is equal to:

asked Oct 8, 2013 by sreemathi.v

1 answer

If $\theta=\large\frac{\pi}{2^n+1}$ then $\cos \theta\cos 2\theta\cos 2^2\theta......\cos2^{n-1}\theta$ is equal to

asked Oct 4, 2013 by sreemathi.v

1 answer

Let $f(\theta)=\sin \theta(\sin \theta+\sin 3\theta)$.Then $f(\theta)$ is

asked Oct 4, 2013 by sreemathi.v

1 answer

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