Chapterwise/Topicwise Daily Practice Problems (DPP) Trigonometry JEE Main & Advanced>Chapter 2 - Trigonometric Functions>DPP>Q 11

MEDIUM

JEE Main

IMPORTANT

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If $\tan^{2} α \tan^{2} β + \tan^{2} β \tan^{2} γ + \tan^{2} γ \tan^{2} α + 2 \tan^{2} α \tan^{2} β \tan^{2} γ = 1$ , then the value of $\sin^{2} α + \sin^{2} β + \sin^{2} γ$ is?

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Important Questions on Trigonometric Functions

EASY

JEE Main

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Trigonometry JEE Main & Advanced>Chapter 2 - Trigonometric Functions>DPP>Q 12

If

x, y, z

are all positive acute angles, then the least value of

\tan x (\cot y + \cot z) + \tan y (\cot z + \cot x) + \tan z (\cot x + \cot y)

, is

HARD

JEE Main

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Trigonometry JEE Main & Advanced>Chapter 2 - Trigonometric Functions>DPP>Q 13

Three circles, each of radius

1

, touch one another externally and they lie between two parallel lines. The minimum possible distance between the lines is

HARD

JEE Main

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Trigonometry JEE Main & Advanced>Chapter 2 - Trigonometric Functions>DPP>Q 14

If

\frac{\cos α}{\cos A} + \frac{\sin α}{\sin A} = \frac{\cos β}{\cos A} + \frac{\sin β}{\sin A} = 1

, where

α

and

β

do not differ by an even multiple of

π

, then

\frac{\cos α \cos β}{\cos^{2} A} + \frac{\sin α \sin β}{\sin^{2} A} =

_____

MEDIUM

JEE Main

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Trigonometry JEE Main & Advanced>Chapter 2 - Trigonometric Functions>DPP>Q 1

Consider angles

α = (2 n + \frac{1}{2}) π \pm A

and

β = m π + {(- 1)}^{m} (\frac{π}{2} - A)

, where

n, m \in I .

Which of the following is not true?

HARD

JEE Main

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Trigonometry JEE Main & Advanced>Chapter 2 - Trigonometric Functions>DPP>Q 2

Which of the following is true ?

EASY

JEE Main

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Trigonometry JEE Main & Advanced>Chapter 2 - Trigonometric Functions>DPP>Q 3

If the angle

A

of a triangle

A B C

is given by the equation

5 \cos A + 3 = 0

, then

\sin A and \tan A

are the roots of the equation

EASY

JEE Main

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Trigonometry JEE Main & Advanced>Chapter 2 - Trigonometric Functions>DPP>Q 4

Which of the following is greatest?

EASY

JEE Main

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Trigonometry JEE Main & Advanced>Chapter 2 - Trigonometric Functions>DPP>Q 5

The number of value/values of

x

for which

\sin y = x^{2} - 2 x

is possible