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

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

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Important Questions on Trigonometric Functions

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

\sum_{r = 1}^{n} (\frac{1}{\cos θ + \cos (2 r + 1) θ}), 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 3 x} . 81^{\sin 3 x}

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 5 k ° = \tan (\frac{m}{n}) °

, where

m

and

n

are relatively prime positive integers that satisfy

(\frac{m}{n}) ° < 90 °

, then

m + n

is equal to

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Gamma Question Bank for Engineering Mathematics>Chapter 9 - Trigonometric Functions>Assignment>Q 25

For $- \frac{π}{2} < θ < \frac{π}{2}$ , $\frac{\sin θ + \sin 2 θ}{1 + \cos θ + \cos 2 θ}$ lies in the interval

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Gamma Question Bank for Engineering Mathematics>Chapter 9 - Trigonometric Functions>Assignment>Q 26

If

A + B + C = π

and

\sin (A + \frac{C}{2}) = K \sin \frac{C}{2}

, then

\tan \frac{A}{2} \cdot \tan \frac{B}{2}

is equal to

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Gamma Question Bank for Engineering Mathematics>Chapter 9 - Trigonometric Functions>Assignment>Q 27

The number of the solutions of the equation

3 \sin x + 4 \cos x - x^{2} - 16 = 0

is

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Gamma Question Bank for Engineering Mathematics>Chapter 9 - Trigonometric Functions>Assignment>Q 28

The solution set of

\sin^{4} x - \tan^{8} x = 1

is given by

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Gamma Question Bank for Engineering Mathematics>Chapter 9 - Trigonometric Functions>Assignment>Q 29

The general solution of the equation

\tan 2 θ \tan 3 θ = 1

is