Beta Question Bank for Engineering: Mathematics>Chapter 12 - Trigonometric Ratios, Functions and Identities>EXERCISE-2>Q 10

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Let $m = \tan 3$ and $n = \sec 6$ , then which of the following statement(s) does/do not hold good ?

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Important Questions on Trigonometric Ratios, Functions and Identities

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Beta Question Bank for Engineering: Mathematics>Chapter 12 - Trigonometric Ratios, Functions and Identities>EXERCISE-2>Q 11

If

\sqrt{\frac{1 - \sin A}{1 + \sin A}} + \frac{\sin A}{\cos A} = \frac{1}{\cos A}

, for all permissible values of

A

, then

A

belong to -

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Beta Question Bank for Engineering: Mathematics>Chapter 12 - Trigonometric Ratios, Functions and Identities>EXERCISE-2>Q 12

If

π < 2 θ < \frac{3 π}{2},

then

\sqrt{2 + \sqrt{2 + 2 \cos 4 θ}}

equals to

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Beta Question Bank for Engineering: Mathematics>Chapter 12 - Trigonometric Ratios, Functions and Identities>EXERCISE-2>Q 13

If

\sec A = \frac{17}{8}

and

cosec B = \frac{5}{4}

then

\sec (A + B)

can have the value equal to

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Beta Question Bank for Engineering: Mathematics>Chapter 12 - Trigonometric Ratios, Functions and Identities>EXERCISE-2>Q 14

Which of the following when simplified reduces to unity?

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Beta Question Bank for Engineering: Mathematics>Chapter 12 - Trigonometric Ratios, Functions and Identities>EXERCISE-2>Q 15

It is known that

\sin β = \frac{4}{5}

&

0 < β < π

, then the value of

\frac{\sqrt{3} \sin (α + β) - \frac{2}{\cos \frac{π}{6}} \cos (α + β)}{\sin α}

is

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Beta Question Bank for Engineering: Mathematics>Chapter 12 - Trigonometric Ratios, Functions and Identities>EXERCISE-2>Q 16

In a triangle

A B C

, angle

A

is greater than angle

B

. If the measures of angles

A

and

B

satisfy the equation

2 \tan x - k (1 + \tan^{2} x) = 0

, where

k \in (0, 1)

, then the measure of the angle

C

is -

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Beta Question Bank for Engineering: Mathematics>Chapter 12 - Trigonometric Ratios, Functions and Identities>EXERCISE-2>Q 17

If

\frac{\sin 3 θ}{\sin θ} = \frac{11}{25}

then

\tan \frac{θ}{2}

can have the value equal to -

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Beta Question Bank for Engineering: Mathematics>Chapter 12 - Trigonometric Ratios, Functions and Identities>EXERCISE-2>Q 18

The expression

{(\frac{\cos A + \cos B}{\sin A - \sin B})}^{m} + {(\frac{\sin A + \sin B}{\cos A - \cos B})}^{m}

where

m \in N

, has the value -