The value of $\tan 10°·\tan 50°·\tan 70°$ is -

Important Questions on Trigonometric Functions

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Gamma Question Bank for Engineering Mathematics>Chapter 9 - Trigonometric Functions>Assignment>Q 17

The expression $2\sin 2°+4\sin 4°+6\sin 6°+\dots \dots \dots$ $180\sin 180°$ equals

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Gamma Question Bank for Engineering Mathematics>Chapter 9 - Trigonometric Functions>Assignment>Q 18

The value of $\tan \frac{\theta }{2}\left(1+\sec \theta \right)\left(1+\sec 2\theta \right)$ $\left(1+\sec 2^2\theta \right)\dots \dots ..\left(1+\sec 2^n\theta \right)$ is

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Gamma Question Bank for Engineering Mathematics>Chapter 9 - Trigonometric Functions>Assignment>Q 19

The value of $\left[100\right(x-1\left)\right]$ is ,  where $\left[x\right]$ is the greatest integer less than or equal to $x$ and  $x=\frac{{\sum }_{n=1}^{44}\cos n°}{{\sum }_{n=1}^{44}\sin n°}$ .

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Gamma Question Bank for Engineering Mathematics>Chapter 9 - Trigonometric Functions>Assignment>Q 20

If $f(\alpha ,\beta )={\cos }^2\alpha +{\sin }^2\alpha ·\cos 2\beta$, then which of the following is incorrect?

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Gamma Question Bank for Engineering Mathematics>Chapter 9 - Trigonometric Functions>Assignment>Q 21

Let $f\left(x\right)=\cos 10x+\cos 8x+3\cos 4x+3\cos 2x$ and $g\left(x\right)=8\cos x·{\cos }^{3}3x$, then for all $x$ we have

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Gamma Question Bank for Engineering Mathematics>Chapter 9 - Trigonometric Functions>Assignment>Q 22

$\sum _{r=1}^n\left(\frac{1}{\cos \theta +\cos (2r+1)\theta }\right),n\in N$ is equal to

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Gamma Question Bank for Engineering Mathematics>Chapter 9 - Trigonometric Functions>Assignment>Q 23

The minimum value of ${27}^{\cos 3x}.{81}^{\sin 3x}$ is

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Gamma Question Bank for Engineering Mathematics>Chapter 9 - Trigonometric Functions>Assignment>Q 24

Given that $\sum _{k=1}^{35}\sin 5k°=\tan \left(\frac{m}{n}\right)°$, where $m$ and $n$ are relatively prime positive integers that satisfy $\left(\frac{m}{n}\right)°<90°$, then $m+n$ is equal to