EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 11 - Trigonometric Ratios and Identities>AMU-AT (B.Tech.) 2019>Q 2

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The equation $\sin x + \sin y + \sin z = - 3$ for $0 \leq x \leq 2 π, 0 \leq y \leq 2 π, 0 \leq z \leq 2 π$ has

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Important Questions on Trigonometric Ratios and Identities

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 11 - Trigonometric Ratios and Identities>AMU-AT (B.Tech.) 2019>Q 3

Let

A, B

and

C

are the angles of a plain triangle and

\tan (\frac{A}{2}) = \frac{1}{3}, \tan (\frac{B}{2}) = \frac{2}{3}

Then,

\tan (\frac{C}{2})

is equal to

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 11 - Trigonometric Ratios and Identities>AMU-AT (B.Tech.) 2019>Q 4

If

α, β (α \neq β)

satisfies the equation

a \cos θ + b \sin θ = c,

then the value of

\tan (\frac{α + β}{2})

is

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 11 - Trigonometric Ratios and Identities>AMU-AT (B.Tech.) 2018>Q 5

Let

0 < α < π, 0 < β < π

and

\cos α + \cos β - \cos (α + β) = \frac{3}{2} .

Then the relation between

α

and

β

will be

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 11 - Trigonometric Ratios and Identities>AMU-AT (B.Tech.) 2018>Q 6

Let

\frac{\sin (θ - α)}{\sin (θ - β)} = \frac{a}{b}, \frac{\cos (θ - α)}{\cos (θ - β)} = \frac{c}{d}

. Then the value of

\cos (α - β)

equals

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 11 - Trigonometric Ratios and Identities>AMU-AT (B.Tech.) 2017>Q 7

Let $P = (θ : \sin θ - \cos θ = \sqrt{2} \cos θ}$ and $Q = {θ : \sin θ + \cos θ = \sqrt{2} \sin θ}$ be two sets. Then,

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 11 - Trigonometric Ratios and Identities>AMU-AT (B.Tech.) 2017>Q 8

If

\sin (α + β) = 1, \sin (α - β) = \frac{1}{2}, α, β \in [0, \frac{π}{2}]

then the value of

\tan (α + 2 β) \tan (2 α + β)

is