Alpha Question Bank for Engineering: Mathematics>Chapter 11 - Trigonometric Ratios, Functions and Identities>Exercise-1>Q 86

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If $A$ lies in the third quadrant and $3 \tan A - 4 = 0,$ then $5 \sin 2 A + 3 \sin A + 4 \cos A$ is equal to

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Important Questions on Trigonometric Ratios, Functions and Identities

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Alpha Question Bank for Engineering: Mathematics>Chapter 11 - Trigonometric Ratios, Functions and Identities>Exercise-1>Q 87

If

\cos A = \frac{3}{4},

then the value of

16 \cos^{2} (\frac{A}{2}) - 32 \sin (\frac{A}{2}) \sin (\frac{5 A}{2})

is

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Alpha Question Bank for Engineering: Mathematics>Chapter 11 - Trigonometric Ratios, Functions and Identities>Exercise-1>Q 88

If $\tan^{2} θ = 2 \tan^{2} ϕ + 1,$ then the value of $\cos 2 θ + \sin^{2} ϕ$ is

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Alpha Question Bank for Engineering: Mathematics>Chapter 11 - Trigonometric Ratios, Functions and Identities>Exercise-1>Q 89

If

α \in [\frac{π}{2}, π]

, then the value of

\sqrt{1 + \sin α} - \sqrt{1 - \sin α}

is equal to

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Alpha Question Bank for Engineering: Mathematics>Chapter 11 - Trigonometric Ratios, Functions and Identities>Exercise-1>Q 90

The value of

\frac{1}{\cos 290 °} + \frac{1}{\sqrt{3} \sin 250 °}

is

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Alpha Question Bank for Engineering: Mathematics>Chapter 11 - Trigonometric Ratios, Functions and Identities>Exercise-1>Q 91

The value of

\tan 3 A - \tan 2 A - \tan A

is equal to

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Alpha Question Bank for Engineering: Mathematics>Chapter 11 - Trigonometric Ratios, Functions and Identities>Exercise-1>Q 92

\frac{\cos 20 ° + 8 \sin 70 ° \sin 50 ° \sin 10 °}{\sin^{2} 80 °}

is equal to

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Alpha Question Bank for Engineering: Mathematics>Chapter 11 - Trigonometric Ratios, Functions and Identities>Exercise-1>Q 93

The numerical value of $\sin 12 ° \cdot \sin 48 ° \cdot \sin 54 °$ is equal to

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Alpha Question Bank for Engineering: Mathematics>Chapter 11 - Trigonometric Ratios, Functions and Identities>Exercise-1>Q 94

If

A = \tan 6 ° \tan 42 °

and

B = \cot 66 ° \cot 78 °

, then