EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 4 - Trigonometric Ratios and Identities>JKCET 2018>Q 3

MEDIUM

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IMPORTANT

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If $f (x) = \sqrt{[(\sin 2 x + 2) (\cos 2 x + 2)]}$ for $x$ is a real number, then which of the following values lies in the domain of $f (x)$ but NOT in the range of $f (x) ?$

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Important Questions on Trigonometric Ratios and Identities

EASY

JKCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 4 - Trigonometric Ratios and Identities>JKCET 2019>Q 4

If

cosec 39 ° = q,

then the value of

\frac{1}{{cosec}^{2} 51^{°}} + \sin^{2} 39^{°} + \tan^{2} 51^{°} - \frac{1}{\sin^{2} 51^{°} \sec^{2} 39^{°}} + 1

is

MEDIUM

JKCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 4 - Trigonometric Ratios and Identities>JKCET 2017>Q 5

In a triangle

P Q R, A, B

and

C

are the angles opposite to the corresponding sides of lengths

a, b

and

c

, respectively. If the sides are

a = 5, b = 13

and

c = 12

, then

\sin \frac{B}{2} + \cos \frac{B}{2} =

HARD

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 4 - Trigonometric Ratios and Identities>JKCET 2017>Q 6

If

α + β = \frac{π}{2}

and

β + γ = α

, then

\sin γ =

HARD

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 4 - Trigonometric Ratios and Identities>JKCET 2018>Q 7

The sum of the series:

sinp + x \sin (p + q) + \frac{x^{2}}{2!} \sin (p + 2 q) + \dots \infty

is

HARD

JKCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 4 - Trigonometric Ratios and Identities>JKCET 2018>Q 8

If

S = \sin^{2} p - \frac{1}{2} \sin (2 p) (\sin^{2} p) + \frac{1}{3} \sin (3 p) (\sin^{3} p) - \frac{1}{4} \sin (4 p) ((\sin^{4} p) + \dots \infty

then

\tan S =