Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 9 - Trigonometric Functions and Equations>Target Exercises>Q 110

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IMPORTANT

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If $x_{1}$ and $x_{2}$ are two positive values of $x$ for which $2 \cos x, |\cos x|$ and $3 \sin^{2} x - 2$ are in $GP$ . The minimum value of $|x_{1} - x_{2}|$ is

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Important Questions on Trigonometric Functions and Equations

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JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 9 - Trigonometric Functions and Equations>Target Exercises>Q 111

If

3 \sin x + 4 \cos a x = 7

has at least one solution, then

a

has to be necessarily

a / a n

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Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 9 - Trigonometric Functions and Equations>Target Exercises>Q 112

If the equation

a_{1} + a_{2} \cos 2 x + a_{3} \sin^{2} x = 1

is satisfied by every real value of

x

then the number of possible values of the triplet

(a_{1}, a_{2}, a_{3})

is

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Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 9 - Trigonometric Functions and Equations>Target Exercises>Q 113

If

\sin^{2} θ - 2 \sin θ - 1 = 0

is to be satisfied for exactly

4

distinct values of

θ \in [0, n π], n \in N,

then the least value of

n

is

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Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 9 - Trigonometric Functions and Equations>Target Exercises>Q 114

If

2 \tan^{2} x - 5 \sec x

is equal to

1

for exactly

7

distinct values of

x \in [0, \frac{n π}{2}], n \in N

, then the greatest value of

n

is

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Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 9 - Trigonometric Functions and Equations>Target Exercises>Q 115

If

\sin α, 1

and

\cos 2 α

are in

GP

, then

α

is equal to

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Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 9 - Trigonometric Functions and Equations>Target Exercises>Q 116

If

\max_{θ \in R} \{5 \sin θ + 3 \sin (θ - α)\} = 7,

then set of possible values of

α

is

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Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 9 - Trigonometric Functions and Equations>Target Exercises>Q 117

The number of solutions of

|\cos x| = \sin x, 0 \leq x \leq 4 π

, is

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Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 9 - Trigonometric Functions and Equations>Target Exercises>Q 118

The values of

a

for which the equation

\cos^{4} x - (a + 2) \cos^{2} x - (a + 3) = 0

possesses a solution, lies in