K. C. Sinha Solutions for Chapter: Trigonometric Ratios and Identities, Exercise 1: EXERCISE

If $cosecA+\cot A=\frac{5}{2}$, then $\tan A$ is

$\cos 10°·\cos 20°·\cos 40°$ is equal to

The value of $\left({\tan }^2\frac{\pi }{7}+{\tan }^2\frac{2\pi }{7}+{\tan }^2\frac{3\pi }{7}\right)\left({\cot }^2\frac{\pi }{7}+{\cot }^2\frac{2\pi }{7}+{\cot }^2\frac{3\pi }{7}\right)$ is equal to...

The value of ${\tan }^2\frac{\pi }{16}+{\tan }^2\frac{2\pi }{16}+{\tan }^2\frac{3\pi }{16}+......+{\tan }^2\frac{7\pi }{16}$ is equal to...

If $\sec A\tan B+\tan A\sec B=91$, then the value of $(\sec A\sec B+\tan A\tan B{)}^2$ is equal to...

If $\frac{9x}{\cos \theta }+\frac{5y}{\sin \theta }=56$ and $\frac{9x\sin \theta }{{\cos }^2\theta }-\frac{5y\cos \theta }{{\sin }^2\theta }=0$, then the value of ${\left[{\left(9x\right)}^{\frac{2}{3}}+{\left(5y\right)}^{\frac{2}{3}}\right]}^3$ is

If $\alpha +\beta =\gamma$ and $\tan \gamma =22,a$ is the arithmetic and $b$ is the geometric mean respectively between $\tan \alpha$ and $\tan \beta$, then the value of $\frac{a^3}{{\left(1-b^2\right)}^3}$ is equal to

If $x,y$ and $z$ are acute angles and $\cos x=\tan y,\cos y=\tan z$ and $\cos z=\tan x$, then $1234\sin x+1342\sin y+1423\sin z=k\sin 18°$ where $k$ is equal to