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Test : Trigonometric Functions And Identities - 3 - Mathematics MCQ


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20 Questions MCQ Test Topic-wise Tests & Solved Examples for Mathematics - Test : Trigonometric Functions And Identities - 3

Test : Trigonometric Functions And Identities - 3 for Mathematics 2024 is part of Topic-wise Tests & Solved Examples for Mathematics preparation. The Test : Trigonometric Functions And Identities - 3 questions and answers have been prepared according to the Mathematics exam syllabus.The Test : Trigonometric Functions And Identities - 3 MCQs are made for Mathematics 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test : Trigonometric Functions And Identities - 3 below.
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Test : Trigonometric Functions And Identities - 3 - Question 1

The equation kcos x.- 3sin x = k + 1 is solvable only if k belongs to the interval

Test : Trigonometric Functions And Identities - 3 - Question 2

 The number of solutions of cosθ + √3 sinθ = 5, 0 ≤ 0 ≤ 5π, is

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Test : Trigonometric Functions And Identities - 3 - Question 3

If the equation a1 - a2, cos 2x + a3, sin2x = 1 is satisfied by every real value of x then the number of possible values of the triplet (a1,a2, a3) is

Test : Trigonometric Functions And Identities - 3 - Question 4

 The number of solutions of the equation tan x - sec x = 2cos x lying in the interval [0.2π] is

Test : Trigonometric Functions And Identities - 3 - Question 5

 The number of values of x in [0, 5π] satisfying the equation 3cos 2x - 10cos x + 7 = 0 is

Test : Trigonometric Functions And Identities - 3 - Question 6

The smallest positive integral value of p for which the equation cos (p sin a) = sin(p cos x) in x has a solution in [0. 2π] is

Test : Trigonometric Functions And Identities - 3 - Question 7

If sin2θ - 2sinθ - 1 = 0 is to be satisfied for exactly 4 distinct values of θ ∈ [0,nπ], n ∈ N, then the least value of n is

Test : Trigonometric Functions And Identities - 3 - Question 8

If 2 tan2 x-5 sec x is equal to 1 for exactly 7 distinct values of    n ∈ N, then the greatest value of n is

Test : Trigonometric Functions And Identities - 3 - Question 9

The number of value of x ∈ [0, 2π] that satisfy cot x - cosec x = 2 sin x is

Test : Trigonometric Functions And Identities - 3 - Question 10

If sin a, 1 and cos 2a are in GP then a is equl to

Test : Trigonometric Functions And Identities - 3 - Question 11

 If 1/6 sinθ, cosθ and tanθ are in GP then the general value of θ is

Test : Trigonometric Functions And Identities - 3 - Question 12

 The general values of x for which cos 2x, 1/2 and sin 2x are in AP are given by

Test : Trigonometric Functions And Identities - 3 - Question 13

 The most general values of θ satisfying 

Test : Trigonometric Functions And Identities - 3 - Question 14

The most general solutions of the equation sec x - 1 - (√2 - 1) tan x are given by 

Test : Trigonometric Functions And Identities - 3 - Question 15

 The most general solutions of the equation sec2x √2(1 - tan2x) are given by

Test : Trigonometric Functions And Identities - 3 - Question 16

The most general values of x for which sin x + cos x,  are given by

Test : Trigonometric Functions And Identities - 3 - Question 17

 then the set of possible values of α is

Test : Trigonometric Functions And Identities - 3 - Question 18

Let α, β, be any two positive values of x for which 2cos x, |cosx| and 1- 3cos2 x are in GP. The minimum value of |α-β| is

Test : Trigonometric Functions And Identities - 3 - Question 19

The sum of all the solutions of the equation cos x.cos  is

Test : Trigonometric Functions And Identities - 3 - Question 20

The values of x ∈ [-2π, 2π] such that  is purely imaginary, are given by

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