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MCQ (Previous Year Questions) - Trigonometry Ratio (Competition Level 1) - JEE MCQ


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18 Questions MCQ Test - MCQ (Previous Year Questions) - Trigonometry Ratio (Competition Level 1)

MCQ (Previous Year Questions) - Trigonometry Ratio (Competition Level 1) for JEE 2024 is part of JEE preparation. The MCQ (Previous Year Questions) - Trigonometry Ratio (Competition Level 1) questions and answers have been prepared according to the JEE exam syllabus.The MCQ (Previous Year Questions) - Trigonometry Ratio (Competition Level 1) MCQs are made for JEE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for MCQ (Previous Year Questions) - Trigonometry Ratio (Competition Level 1) below.
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MCQ (Previous Year Questions) - Trigonometry Ratio (Competition Level 1) - Question 1

 If cos x + cos y + cos a = 0 and sin x + sin y + sin a = 0, then cot 

[AIEEE-2002]

Detailed Solution for MCQ (Previous Year Questions) - Trigonometry Ratio (Competition Level 1) - Question 1

 cos x + cos y = –cos α ....(i)

Sin x + sin y = –sin α .....(ii)

Upon dividing (i) by (ii), we get

MCQ (Previous Year Questions) - Trigonometry Ratio (Competition Level 1) - Question 2

cos 1°. cos 2°. cos 3°.... cos 179° =  

[AIEEE-2002]

Detailed Solution for MCQ (Previous Year Questions) - Trigonometry Ratio (Competition Level 1) - Question 2

  We have, cos1º cos2º .... cos179º

=  cos1ºcos2º ... cos 90º ... cos 179º = 0 [∵ cos 90° = 0]

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MCQ (Previous Year Questions) - Trigonometry Ratio (Competition Level 1) - Question 3

Let α and β  be such that π < α - β < 3π If sinα + sinβ = -21/65 and cosα + cosβ = -27/65 ,then the value of cos α - β/2 is 

 [AIEEE-2004]

Detailed Solution for MCQ (Previous Year Questions) - Trigonometry Ratio (Competition Level 1) - Question 3

by squaring and adding given equations,

MCQ (Previous Year Questions) - Trigonometry Ratio (Competition Level 1) - Question 4

 [AIEEE-2009]

Detailed Solution for MCQ (Previous Year Questions) - Trigonometry Ratio (Competition Level 1) - Question 4

It is possible only when A & B both are zero.

MCQ (Previous Year Questions) - Trigonometry Ratio (Competition Level 1) - Question 5

Let cos ( α + β ) = 4/5 and let sin  ( α - β ) = 5/13 , where 

 [AIEEE-2010]

Detailed Solution for MCQ (Previous Year Questions) - Trigonometry Ratio (Competition Level 1) - Question 5

MCQ (Previous Year Questions) - Trigonometry Ratio (Competition Level 1) - Question 6

If A = sin2x + cos4x, then for all real x :

 [AIEEE-2011]

Detailed Solution for MCQ (Previous Year Questions) - Trigonometry Ratio (Competition Level 1) - Question 6

MCQ (Previous Year Questions) - Trigonometry Ratio (Competition Level 1) - Question 7

In a ΔPQR if 3 sin P + 4 cos Q = 6 and  4 sin Q + 3 cos P = 1, then the angle R is equal to :  

[AIEEE-2012]

Detailed Solution for MCQ (Previous Year Questions) - Trigonometry Ratio (Competition Level 1) - Question 7

by squaring and adding given equations,

by squaring and substracting given equations,

MCQ (Previous Year Questions) - Trigonometry Ratio (Competition Level 1) - Question 8

Let f(θ) = sin θ (sin θ + sin 3θ). Then f(θ) :

 [JEE 2000 (Scr.)]

Detailed Solution for MCQ (Previous Year Questions) - Trigonometry Ratio (Competition Level 1) - Question 8

MCQ (Previous Year Questions) - Trigonometry Ratio (Competition Level 1) - Question 9

 Find the maximum and minimum values of 27cos 2x . 81sin 2x.

 [JEE 2000 (Mains), 3]

Detailed Solution for MCQ (Previous Year Questions) - Trigonometry Ratio (Competition Level 1) - Question 9

MCQ (Previous Year Questions) - Trigonometry Ratio (Competition Level 1) - Question 10

 Find the smallest positive values of x & y satisfying, x–y= π/4 , cot x+cot y=2.        

[REE 2000, 3]

Detailed Solution for MCQ (Previous Year Questions) - Trigonometry Ratio (Competition Level 1) - Question 10

MCQ (Previous Year Questions) - Trigonometry Ratio (Competition Level 1) - Question 11

Detailed Solution for MCQ (Previous Year Questions) - Trigonometry Ratio (Competition Level 1) - Question 11

Given that

MCQ (Previous Year Questions) - Trigonometry Ratio (Competition Level 1) - Question 12

Detailed Solution for MCQ (Previous Year Questions) - Trigonometry Ratio (Competition Level 1) - Question 12

MCQ (Previous Year Questions) - Trigonometry Ratio (Competition Level 1) - Question 13

In an equilateral triangle, 3 coins of radii 1 unit each are kept so that they touch each other and also the sides of the triangle. Area of the triangle is  

  [JEE 2005 (Scr.)]

Detailed Solution for MCQ (Previous Year Questions) - Trigonometry Ratio (Competition Level 1) - Question 13

MCQ (Previous Year Questions) - Trigonometry Ratio (Competition Level 1) - Question 14

Let θ ∈ (0, π/4) and t1 =(tan θ)tan θ, t2 =(tan θ)cot θ, t3 = (cot θ)tan θ, t4 = (cot θ)cot θ, then  

[JEE 2006, 3]

Detailed Solution for MCQ (Previous Year Questions) - Trigonometry Ratio (Competition Level 1) - Question 14

*Multiple options can be correct
MCQ (Previous Year Questions) - Trigonometry Ratio (Competition Level 1) - Question 15

One or more than one is/are correct : [Q.7 (a) & (b)]

 

Detailed Solution for MCQ (Previous Year Questions) - Trigonometry Ratio (Competition Level 1) - Question 15

*Multiple options can be correct
MCQ (Previous Year Questions) - Trigonometry Ratio (Competition Level 1) - Question 16

Detailed Solution for MCQ (Previous Year Questions) - Trigonometry Ratio (Competition Level 1) - Question 16

MCQ (Previous Year Questions) - Trigonometry Ratio (Competition Level 1) - Question 17

The maximum value of the expression

Detailed Solution for MCQ (Previous Year Questions) - Trigonometry Ratio (Competition Level 1) - Question 17

MCQ (Previous Year Questions) - Trigonometry Ratio (Competition Level 1) - Question 18

The positive integer value of n > 3 satisfying the equation 

[JEE 2011]

Detailed Solution for MCQ (Previous Year Questions) - Trigonometry Ratio (Competition Level 1) - Question 18

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