HelpContactFor teachers and institutes
>_StemPy Lab
Mock TestsClasses

>_StemPy Lab

Learn. Solve. Code the solutions. Test yourself.

Live examsFree mock exams, timed and rankedEveryone starts together, and your score and rank come the moment it ends.See the exams →

Learn

  • Physics
  • Chemistry
  • Mathematics
  • Biology
  • Python Programming
  • Statistics & Data Science
  • Classes
  • Groups

Practice

  • Problems
  • Quizzes
  • Mock Tests
  • Prepare for an Exam
  • Question Sets
  • Exams
  • Certificates
  • Python Labs
  • AI Practice Generator
  • Student-Created Tests

Community

  • Discussions
  • Resources
  • Notes
  • Blog

Account

  • Log in
© 2026 senLearn. All rights reserved.HelpAboutContactPrivacy PolicyTerms of UseRefund Policy
  1. Problems
  2. /Trigonometry
  3. /Inverse Trigonometric Functions

Inverse Trigonometric Functions

Mathematics
+ Upload a Problem
More in TrigonometryTrigonometric RatiosTrigonometric IdentitiesHeights and DistancesAngles and Radian MeasureTrigonometric Functions and GraphsCompound and Multiple AnglesTrigonometric EquationsInverse Trigonometric Functions
30 problems
Exam:
Type:
1.
Solve sin⁻¹x + sin⁻¹2x = π/2. Find the domain, solve by isolating sin⁻¹2x and taking the sine, and… New
High School (11–12) · Inverse Trigonometric FunctionsJEE MainBoard ExamBITSAT+1StemPy LabStemPy Lab
Hard
2.
Let p(x) = cos⁻¹x - tan⁻¹x on [-1, 1]. Both cos⁻¹x and -tan⁻¹x fall as x rises… New
High School (11–12) · Inverse Trigonometric FunctionsBoard ExamCUET UGStemPy LabStemPy Lab
Medium
3.
Let h(x) = sin⁻¹(x - 3) + sin⁻¹(5 - x). Find the domain of h… New
High School (11–12) · Inverse Trigonometric FunctionsBoard ExamStemPy LabStemPy Lab
Easy
4.
Solve tan⁻¹x + tan⁻¹3x = π/4 by taking the tangent of both sides… New
High School (11–12) · Inverse Trigonometric FunctionsJEE MainBoard ExamBITSAT+1StemPy LabStemPy Lab
Hard
5.
Solve tan⁻¹(x - 1) + tan⁻¹x + tan⁻¹(x + 1) = tan⁻¹3x… New
High School (11–12) · Inverse Trigonometric FunctionsBoard ExamCUET UGStemPy LabStemPy Lab
Medium
6.
Solve cos⁻¹x + 2 sin⁻¹x = 2π/3 and sin⁻¹x + 2 cos⁻¹x = 3π/4… New
High School (11–12) · Inverse Trigonometric FunctionsBoard ExamStemPy LabStemPy Lab
Easy
7.
Let g(x) = sin⁻¹(2x√(1 - x²)) - 2 sin⁻¹x for -1 ≤ x ≤ 1… New
High School (11–12) · Inverse Trigonometric FunctionsJEE MainBoard ExamBITSAT+1StemPy LabStemPy Lab
Hard
8.
Find the value of sin⁻¹(3x - 4x³) at x = 0.3 and at x = 0.8, in radians… New
High School (11–12) · Inverse Trigonometric FunctionsBoard ExamCUET UGStemPy LabStemPy Lab
Medium
9.
Evaluate cos⁻¹(1 - x²)/(1 + x²) at x = -1/2… New
High School (11–12) · Inverse Trigonometric FunctionsBoard ExamCUET UGStemPy LabStemPy Lab
Medium
10.
Use tan⁻¹(√(1 + x²) - 1)/x = 1/2 tan⁻¹x to find the value of the left side at x = √3 and at x = -√3… New
High School (11–12) · Inverse Trigonometric FunctionsBoard ExamStemPy LabStemPy Lab
Easy
11.
Show that 2 tan⁻¹1/3 + tan⁻¹1/7 is a simple angle… New
High School (11–12) · Inverse Trigonometric FunctionsJEE MainBoard ExamBITSAT+1StemPy LabStemPy Lab
Hard
12.
Let α = tan⁻¹3/4 and β = sin⁻¹5/13. Find sin(α + β), cos(α + β) and tan(α + β)… New
High School (11–12) · Inverse Trigonometric FunctionsBoard ExamCUET UGStemPy LabStemPy Lab
Medium
13.
Find sin(cos⁻¹8/17), tan(sin⁻¹5/13) and cos(tan⁻¹3/4). Give each to four decimal places. New
High School (11–12) · Inverse Trigonometric FunctionsBoard ExamStemPy LabStemPy Lab
Easy
14.
Show that tan⁻¹1/3 + tan⁻¹1/5 + tan⁻¹1/7 + tan⁻¹1/8 is a simple angle… New
High School (11–12) · Inverse Trigonometric FunctionsJEE MainBoard ExamBITSAT+1StemPy LabStemPy Lab
Hard
15.
A banner 3 m tall hangs on a wall. Its lower edge is 2 m above the eye level of a visitor who… New
High School (11–12) · Inverse Trigonometric FunctionsBoard ExamCUET UGStemPy LabStemPy Lab
Medium
16.
Find tan⁻¹5 + tan⁻¹1/2, then tan⁻¹(-5) + tan⁻¹(-1/2), then tan⁻¹5 + tan⁻¹1/5. Give each in radians. New
High School (11–12) · Inverse Trigonometric FunctionsBoard ExamCUET UGStemPy LabStemPy Lab
Medium
17.
Combine tan⁻¹2/3 + tan⁻¹1/5 and tan⁻¹2/3 - tan⁻¹1/5 into single inverse tangents and give their… New
High School (11–12) · Inverse Trigonometric FunctionsBoard ExamStemPy LabStemPy Lab
Easy
18.
Two numbers x and y in [-1, 1] satisfy sin⁻¹x + sin⁻¹y = 2π/3… New
High School (11–12) · Inverse Trigonometric FunctionsJEE MainBoard ExamBITSAT+1StemPy LabStemPy Lab
Hard
19.
A number x in [-1, 1] has sin⁻¹x = 0.4 radians… New
High School (11–12) · Inverse Trigonometric FunctionsBoard ExamCUET UGStemPy LabStemPy Lab
Medium
20.
Use the rules of the lesson, without finding the individual angles, to evaluate sin⁻¹(-0.3) +… New
High School (11–12) · Inverse Trigonometric FunctionsBoard ExamStemPy LabStemPy Lab
Easy
21.
A signal is s(t) = sin⁻¹(sin 2t) radians, where t is the time in seconds and 2t is in radians… New
High School (11–12) · Inverse Trigonometric FunctionsJEE MainBoard ExamBITSAT+1StemPy LabStemPy Lab
Hard
22.
Find sin⁻¹(sin 9) and cos⁻¹(cos 9), with 9 in radians… New
High School (11–12) · Inverse Trigonometric FunctionsJEE MainBoard ExamBITSAT+1StemPy LabStemPy Lab
Hard
23.
Find sin⁻¹(sin 6), cos⁻¹(cos 8) and tan⁻¹(tan 3). All angles are in radians. New
High School (11–12) · Inverse Trigonometric FunctionsBoard ExamCUET UGStemPy LabStemPy Lab
Medium
24.
Find sin⁻¹(sin2π/3) and cos⁻¹(cos7π/6) in radians. New
High School (11–12) · Inverse Trigonometric FunctionsBoard ExamStemPy LabStemPy Lab
Easy
25.
The point (0.8, p) lies on the graph of y = sin⁻¹x… New
High School (11–12) · Inverse Trigonometric FunctionsJEE MainBoard ExamBITSAT+1StemPy LabStemPy Lab
Hard
Page 1 of 2

Showing 1–25 of 30