JEE Exam  >  JEE Questions  >  The set of values of x for which [(tan3x-tan2... Start Learning for Free
The set of values of x for which [(tan3x-tan2x)/(1+tan3xtan2x)]=1, is

  • a)
    φ

  • b)
    π/4

  • c)
    {(nπ)+(π/4) |n=1,2,3...}

  • d)
    {(2nπ)+(π/4) |n=1,2,3...}

Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The set of values of x for which [(tan3x-tan2x)/(1+tan3xtan2x)]=1, isa...
View all questions of this test
Most Upvoted Answer
The set of values of x for which [(tan3x-tan2x)/(1+tan3xtan2x)]=1, isa...
Explanation:

Given Expression:
[(tan3x-tan2x)/(1+tan3xtan2x)] = 1

Using Trigonometric Identities:
- tan(A-B) = (tanA-tanB)/(1+tanAtanB)
- tan(3x-2x) = (tan3x-tan2x)/(1+tan3xtan2x)

Applying the Identity:
tan(3x-2x) = tanx = 1

Solving for x:
tanx = 1
x = (π/4) + nπ where n is an integer

Substitute x back into the expression:
tan(3x) - tan(2x) = tan(3((π/4) + nπ)) - tan(2((π/4) + nπ))
= tan((3π/4) + 3nπ) - tan((π/2) + 2nπ)
= tan((3π/4)) - tan((π/2))
= -1 - undefined (tan(90°) is undefined)

Therefore, the values of x for which the expression equals 1 are:
{nπ + (π/4) | n = 1, 2, 3...}

Correct Option: c) {(nπ) + (π/4) | n = 1, 2, 3...}
Explore Courses for JEE exam
The set of values of x for which [(tan3x-tan2x)/(1+tan3xtan2x)]=1, isa)φb)π/4c){(nπ)+(π/4) |n=1,2,3...}d){(2nπ)+(π/4) |n=1,2,3...}Correct answer is option 'C'. Can you explain this answer?
Question Description
The set of values of x for which [(tan3x-tan2x)/(1+tan3xtan2x)]=1, isa)φb)π/4c){(nπ)+(π/4) |n=1,2,3...}d){(2nπ)+(π/4) |n=1,2,3...}Correct answer is option 'C'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The set of values of x for which [(tan3x-tan2x)/(1+tan3xtan2x)]=1, isa)φb)π/4c){(nπ)+(π/4) |n=1,2,3...}d){(2nπ)+(π/4) |n=1,2,3...}Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The set of values of x for which [(tan3x-tan2x)/(1+tan3xtan2x)]=1, isa)φb)π/4c){(nπ)+(π/4) |n=1,2,3...}d){(2nπ)+(π/4) |n=1,2,3...}Correct answer is option 'C'. Can you explain this answer?.
Solutions for The set of values of x for which [(tan3x-tan2x)/(1+tan3xtan2x)]=1, isa)φb)π/4c){(nπ)+(π/4) |n=1,2,3...}d){(2nπ)+(π/4) |n=1,2,3...}Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of The set of values of x for which [(tan3x-tan2x)/(1+tan3xtan2x)]=1, isa)φb)π/4c){(nπ)+(π/4) |n=1,2,3...}d){(2nπ)+(π/4) |n=1,2,3...}Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of The set of values of x for which [(tan3x-tan2x)/(1+tan3xtan2x)]=1, isa)φb)π/4c){(nπ)+(π/4) |n=1,2,3...}d){(2nπ)+(π/4) |n=1,2,3...}Correct answer is option 'C'. Can you explain this answer?, a detailed solution for The set of values of x for which [(tan3x-tan2x)/(1+tan3xtan2x)]=1, isa)φb)π/4c){(nπ)+(π/4) |n=1,2,3...}d){(2nπ)+(π/4) |n=1,2,3...}Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of The set of values of x for which [(tan3x-tan2x)/(1+tan3xtan2x)]=1, isa)φb)π/4c){(nπ)+(π/4) |n=1,2,3...}d){(2nπ)+(π/4) |n=1,2,3...}Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice The set of values of x for which [(tan3x-tan2x)/(1+tan3xtan2x)]=1, isa)φb)π/4c){(nπ)+(π/4) |n=1,2,3...}d){(2nπ)+(π/4) |n=1,2,3...}Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice JEE tests.
Explore Courses for JEE exam

Top Courses for JEE

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev