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Test: Trigonometric Equations - Commerce MCQ


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10 Questions MCQ Test Mathematics (Maths) Class 11 - Test: Trigonometric Equations

Test: Trigonometric Equations for Commerce 2024 is part of Mathematics (Maths) Class 11 preparation. The Test: Trigonometric Equations questions and answers have been prepared according to the Commerce exam syllabus.The Test: Trigonometric Equations MCQs are made for Commerce 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Trigonometric Equations below.
Solutions of Test: Trigonometric Equations questions in English are available as part of our Mathematics (Maths) Class 11 for Commerce & Test: Trigonometric Equations solutions in Hindi for Mathematics (Maths) Class 11 course. Download more important topics, notes, lectures and mock test series for Commerce Exam by signing up for free. Attempt Test: Trigonometric Equations | 10 questions in 10 minutes | Mock test for Commerce preparation | Free important questions MCQ to study Mathematics (Maths) Class 11 for Commerce Exam | Download free PDF with solutions
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Test: Trigonometric Equations - Question 1

If sinθ = 1/2. How many solutions does this equation have between 0 and π ?

Detailed Solution for Test: Trigonometric Equations - Question 1

Two results are possible as π/6 & 5π/6 comes by subtracting π/6from π, In general we have Sin∆=nπ+(-1)^n(A) here A is π/6 and by putting different values of n in integer 2 values can be obtained

Test: Trigonometric Equations - Question 2

The general solution of sin = 0 is

Detailed Solution for Test: Trigonometric Equations - Question 2

sinθ = 0
⇒ sin-1 θ = 0,π,2π,...
⇒ θ = 0 + nπ → n∈Z
 The general solution for sin x = 0 will be, x = nπ, where n∈I.

Test: Trigonometric Equations - Question 3

if cosθ = √3/2. How many solutions does this equation have between -π and π ?

Detailed Solution for Test: Trigonometric Equations - Question 3

The general solution of the given question is theta= 2nπ± π/6 but it is mentioned that they are lies between -π to π. So when we put n=0 we get theta =±π/6. And when we put n= 1 we get theta does not lies between -π to ÷π. So we get only two values of theta.

Test: Trigonometric Equations - Question 4

The solution of cos 4x = cos 2x

Detailed Solution for Test: Trigonometric Equations - Question 4

cos 4x = cos 2x

Test: Trigonometric Equations - Question 5

The solution of sinθ cosθ = √3/4 is

Detailed Solution for Test: Trigonometric Equations - Question 5

Test: Trigonometric Equations - Question 6

The principal solution for tan x = √3 is,

Detailed Solution for Test: Trigonometric Equations - Question 6

Test: Trigonometric Equations - Question 7

The solution of the equation tan 2θ = tan θ/2 is

Detailed Solution for Test: Trigonometric Equations - Question 7

tanθ = tanα
θ = nπ + α
2θ = nπ + 2/θ
2(θ - 1/θ) = nπ
= θ - 1/θ = nπ/2
= θ2 - (nπθ)/2 - 1 = 0
θ = nπ/2 +- [(n2π2 + 4)1/2 ]/2
θ = nπ/2 +- [(n2 π2 + 16)1/2]/4

Test: Trigonometric Equations - Question 8

If tan x = tan α , then the general solution of the equation is

Detailed Solution for Test: Trigonometric Equations - Question 8

Test: Trigonometric Equations - Question 9

tan(π + x)=

Detailed Solution for Test: Trigonometric Equations - Question 9

(180+theta ) lies in third quadrant...where tantheta is positive....tan(180+x)=tanx

Test: Trigonometric Equations - Question 10

The most general value that satisfies the equation cosecθ = 2 and cotθ = -√3 is

Detailed Solution for Test: Trigonometric Equations - Question 10


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