EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 10 - Trigonometric Ratios, Functions and Identities>JEE Main - 31 August 2021 Shift 1>Q 4

EASY

JEE Main

IMPORTANT

Earn 100

$cosec 18 °$ is a root of the equation:

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Important Questions on Trigonometric Ratios, Functions and Identities

EASY

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 10 - Trigonometric Ratios, Functions and Identities>JEE Main - 1 September 2021 Shift 2>Q 5

The range of the function

f (x) = \log_{\sqrt{5}} (3 + \cos (\frac{3 π}{4} + x) + \cos (\frac{π}{4} + x) + \cos (\frac{π}{4} - x) - \cos (\frac{3 π}{4} - x))

is :

HARD

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 10 - Trigonometric Ratios, Functions and Identities>JEE Main - 20 July 2021 Shift 1>Q 6

If in a triangle

A B C, A B = 5

units,

∠ B = \cos^{- 1} (\frac{3}{5})

and radius of circumcircle of

∆ A B C

is

5

units, then the area (in sq. units) of

Δ A B C

is:

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 10 - Trigonometric Ratios, Functions and Identities>JEE Main - 20 July 2021 Shift 2>Q 7

Let in a right angled triangle, the smallest angle be $θ .$ If a triangle formed by taking the reciprocal of its sides is also a right angled triangle, then $\sin θ$ is equal to:

MEDIUM

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 10 - Trigonometric Ratios, Functions and Identities>JEE Main - 25 July 2021 Shift 2>Q 8

The value of

\cot \frac{π}{24}

is:

EASY

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 10 - Trigonometric Ratios, Functions and Identities>JEE Main - 27 July 2021 Shift 1>Q 9

If

\sin θ + \cos θ = \frac{1}{2},

then

16 (\sin (2 θ) + \cos (4 θ) + \sin (6 θ))

is equal to:

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 10 - Trigonometric Ratios, Functions and Identities>JEE Main - 27 July 2021 Shift 2>Q 10

Let

α = \max_{x \in R} \{8^{2 \sin 3 x} \cdot 4^{4 \cos 3 x}\}

and

β = \min_{x \in R} \{8^{2 \sin 3 x} \cdot 4^{4 \cos 3 x}\} .

If

8 x^{2} + b x + c = 0

is a quadratic equation whose roots are

α^{1 / 5}

and

β^{1 / 5},

then the value of

c - b

is equal to :

HARD

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 10 - Trigonometric Ratios, Functions and Identities>JEE Main 16 March 2021 Shift 1>Q 11

If for $x \in (0, \frac{π}{2}), \log_{10} \sin x + \log_{10} \cos x = - 1$ and $\log_{10} (\sin x + \cos x) = \frac{1}{2} (\log_{10} n - 1), n > 0$ , then the value of $n$ is equal to :

MEDIUM

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 10 - Trigonometric Ratios, Functions and Identities>JEE Main 18 March 2021 Shift 2>Q 12

If

15 \sin^{4} α + 10 \cos^{4} α = 6,

for some

α \in R,

then the value of

27 \sec^{6} α + 8 {cosec}^{6} α

is equal to :