Careers360 Logo
JEE Main April Result 2025 - Link, Download Rank Card at jeemain.nta.ac.in

Domain and Range of Trigonometric Functions - Practice Questions & MCQ

Edited By admin | Updated on Sep 18, 2023 18:34 AM | #JEE Main

Quick Facts

  • Domain and range of Inverse Trigonometric Function (Part 1) is considered one the most difficult concept.

  • 57 Questions around this concept.

Solve by difficulty

Let f:(1,1)B, be a function defined by f(x)=tan1(2x1x2) then f is both one-one and onto when B is the interval

What is the solution for tan1x>π/4 ?

Number of solutions of x where its satisfy (sin1x)22sin1x+10

tan1(π3)=

tan1(1)=

Which of the following functions as the below graph?

sin1(32)=

UPES B.Tech Admissions 2025

Ranked #42 among Engineering colleges in India by NIRF | Highest Package 1.3 CR , 100% Placements | Last Date Extended to 30th April. Apply Now!

ICFAI University Hyderabad B.Tech Admissions 2025

Merit Scholarships | NAAC A+ Accredited | Top Recruiters : E&Y, CYENT, Nvidia, CISCO, Genpact, Amazon & many more

The range of cos1([x]) is ([x|represents Greatest Integer Function )

 

cot1(3)=

JEE Main 2025 College Predictor
Know your college admission chances in NITs, IIITs and CFTIs, many States/ Institutes based on your JEE Main rank by using JEE Main 2025 College Predictor.
Use Now

Domainofcsc1xis:

Concepts Covered - 2

Domain and range of Inverse Trigonometric Function (Part 1)

Domain and range of Inverse Trigonometric Function (Part 1)

y=sin1(x)

The function is many one so it is not invertible. Now consider the small portion of the function

 y=sinx,x[π2,π2]andy[1,1]

             

Which is strictly increasing, Hence, one-one and inverse is y=sin1(x)

Domainis[1,1]andRangeis[π2,π2]

y=cos1(x)

Domainis[1,1]andRangeis[0,π]

y=tan1(x)

 

DomainisRandRangeis(π2,π2)

Domain and range of Inverse Trigonometric Function (Part 2)

Domain and range of Inverse Trigonometric Function (Part 2)

y=cot1(x)


 

DomainisRandRangeis(0,π)

y=sec1(x)

DomainisR(1,1)andRangeis[0,π]{π2}

y=cosec1(x)


 

DomainisR(1,1)andRangeis[π2,π2]{0}

Study it with Videos

Domain and range of Inverse Trigonometric Function (Part 1)
Domain and range of Inverse Trigonometric Function (Part 2)

"Stay in the loop. Receive exam news, study resources, and expert advice!"

Books

Reference Books

Domain and range of Inverse Trigonometric Function (Part 1)

Mathematics for Joint Entrance Examination JEE (Advanced) : Trigonometry

Page No. : 7.2

Line : 10

Domain and range of Inverse Trigonometric Function (Part 2)

Mathematics for Joint Entrance Examination JEE (Advanced) : Trigonometry

Page No. : 7.2

Line : 11

E-books & Sample Papers

Get Answer to all your questions

Back to top