TRIGONOMETRY FOR JEE MAIN AND ADVANCED>Chapter 10 - Trigonometric Ratios and Identities>EXERCISE>Q 67

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If $a, b, c$ and $k$ are constant quantities and $α, β, γ$ are variables satisfying the relation $a$ $\tan α + b \tan β + c \tan γ = k,$ then the minimum value of $\tan^{2} α + \tan^{2} β + \tan^{2} γ$ is

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Important Questions on Trigonometric Ratios and Identities

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IMPORTANT

TRIGONOMETRY FOR JEE MAIN AND ADVANCED>Chapter 10 - Trigonometric Ratios and Identities>EXERCISE>Q 68

If

A, B, C

are acute positive angles, then

\frac{(\sin A + \sin B) (\sin A + \sin C) (\sin B + \sin C)}{\sin A \sin B \sin C}

is

HARD

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TRIGONOMETRY FOR JEE MAIN AND ADVANCED>Chapter 10 - Trigonometric Ratios and Identities>EXERCISE>Q 1

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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TRIGONOMETRY FOR JEE MAIN AND ADVANCED>Chapter 10 - Trigonometric Ratios and Identities>EXERCISE>Q 2

If

\tan \frac{θ}{2} = (\cos e c θ - \sin θ)

, then

\tan^{2} \frac{θ}{2}

may be equal to

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TRIGONOMETRY FOR JEE MAIN AND ADVANCED>Chapter 10 - Trigonometric Ratios and Identities>EXERCISE>Q 3

If in any

Δ A B C, \tan A + \tan B + \tan C = 6

and

\tan A \cdot \tan B = 2

, then the values of

\tan A, \tan B

and

\tan C

are respectively

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TRIGONOMETRY FOR JEE MAIN AND ADVANCED>Chapter 10 - Trigonometric Ratios and Identities>EXERCISE>Q 4

If

u = \sqrt{a^{2} \cos^{2} θ + b^{2} \sin^{2} θ} + \sqrt{a^{2} \sin^{2} θ + b^{2} \cos^{2} θ}

, then which of the following is/are false

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TRIGONOMETRY FOR JEE MAIN AND ADVANCED>Chapter 10 - Trigonometric Ratios and Identities>EXERCISE>Q 5

If

x = \sin (α - β) \sin (γ - δ), y = \sin (β - γ) \sin (α - δ)

and

z = \sin (γ - α) \sin (β - δ)

, then

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TRIGONOMETRY FOR JEE MAIN AND ADVANCED>Chapter 10 - Trigonometric Ratios and Identities>EXERCISE>Q 6

In

∆ A B C

EASY

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IMPORTANT

TRIGONOMETRY FOR JEE MAIN AND ADVANCED>Chapter 10 - Trigonometric Ratios and Identities>EXERCISE>Q 7

If

\cos^{4} θ + α, \sin^{4} θ + α

are the roots of the equation

x^{2} + b (2 x + 1) = 0

and

\cos^{2} θ + β, \sin^{2} θ + β

are the roots of the equation

x^{2} + 4 x + 2 = 0

then

b

may be equal to