Q76.The principal value of tan−1(cot 43π4 ) is (1) π 4 (2) −π4 (3) 3π 4 (4) −3π4
What This Question Tests
This question tests the knowledge of the principal value branch of tan⁻¹(x) and the ability to use trigonometric identities and periodicity to express the argument in the correct range.
Concepts Tested
Formulas Used
tan⁻¹(tan x) = x if x ∈ (-π/2, π/2)
cot θ = tan(π/2 - θ)
tan(π+θ) = tan θ
📚 NCERT Sections This Tests
1.3 — Define The Following Terms:
Chemistry Class 11 · Chapter 1
1.3 Define the following terms: (i) Mole fraction (ii) Molality (iii) Molarity (iv) Mass percentage.
14.2 — Which Of The Statements Given In Exercise 14.1 Is True For P-Type
Physics Class 12 · Chapter 14
14.2 Which of the statements given in Exercise 14.1 is true for p-type semiconductos.
5.12 — Write All The Geometrical Isomers Of [Pt(Nh3)(Br)(Cl)(Py)] And How Many Of
Chemistry Class 11 · Chapter 5
5.12 Write all the geometrical isomers of [Pt(NH3)(Br)(Cl)(py)] and how many of these will exhibit optical isomers?
📋 Question Details
- Chapter
- Inverse Trigonometric Functions
- Topic
- Principal value of inverse trigonometric functions
- Year
- 2014
- Shift
- 19 Apr Online
- Q Number
- Q76
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 2: Inverse Trigonometric Functions
More from this Chapter
Q90.The value of cot (cosec−1 53 + tan−1 23 ) is (1) 6 (2) 3 17 17 (3) 4 (4) 5 17 17
Q78.A value of tan−1 (sin (cos−1 (√2 ))) (1) π (2) π 4 2 (3) π (4) π 3 6
Q67.A value of x for which sin (cot−1(1 + x)) = cos (tan−1 x), is : (1) −12 (2) 1 (3) 0 (4) 1 2
Q67.The number of solutions of the equation, sin−1 x = 2 tan−1 x (in principal values) is : (1) 1 (2) 4 (3) 2 (4) 3