Gamma Question Bank for Engineering Mathematics>Chapter 9 - Trigonometric Functions>Assignment>Q 5

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If $A B C D$ is a cyclic quadrilateral such that $12 \tan A - 5 = 0$ and $5 \cos B + 3 = 0$ , then the quadratic equation whose roots are $\cos C$ and $\tan D$ is

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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 6

If

\sum_{r = 15}^{29} \cos (\frac{r π}{2} + θ) = S_{1}

and

\sum_{r = 15}^{29} \sin (\frac{r π}{2} + θ) = S_{2}

, then

\frac{S_{1}}{S_{2}}

equals

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Gamma Question Bank for Engineering Mathematics>Chapter 9 - Trigonometric Functions>Assignment>Q 7

If

a \sin^{2} θ + b \cos^{2} θ = m, b \sin^{2} ϕ + a \cos^{2} ϕ = n

,

a \tan θ = b \tan ϕ

, then which of the following is true?

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Gamma Question Bank for Engineering Mathematics>Chapter 9 - Trigonometric Functions>Assignment>Q 8

The value of

\cos 12^{\circ} + \cos 84^{\circ} + \cos 156^{\circ} + \cos 132^{\circ}

is

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

If

\tan A + \tan B + \tan C = \tan A . \tan B . \tan C

then-

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Gamma Question Bank for Engineering Mathematics>Chapter 9 - Trigonometric Functions>Assignment>Q 10

Let

a = \cos A + \cos B - \cos (A + B)

and

b = 4 \sin \frac{A}{2} \cdot \sin \frac{B}{2} \cos (\frac{A + B}{2})

, then

a - b

is equal to

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Gamma Question Bank for Engineering Mathematics>Chapter 9 - Trigonometric Functions>Assignment>Q 14

The value of

2 \tan 18^{\circ} + 3 \sec 18^{\circ} - 4 \cos 18^{\circ}

is

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Gamma Question Bank for Engineering Mathematics>Chapter 9 - Trigonometric Functions>Assignment>Q 16

If

\cos 2 x + 2 \cos x = 1

then,

(2 - \cos^{2} x) \sin^{2} x

is equal to

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

If

A + B + C = π

and

\cos A = \cos B \cos C,

then

\tan B \tan C

is equal to