Q86.Let the inverse trigonometric functions take principal values. The number of real solutions of the equation 2 sin−1 x + 3 cos−1 x = 2π5 , is _______
What This Question Tests
This is a straightforward question on inverse trigonometric functions, requiring the application of a fundamental identity (sin⁻¹x + cos⁻¹x = π/2) to simplify the equation and determine the number of solutions within the principal value domain.
Concepts Tested
Formulas Used
sin⁻¹x + cos⁻¹x = π/2
📚 NCERT Sections This Tests
9.15 — Apply Mirror Equation And The Condition:
Physics Class 12 · Chapter 9
9.15 Apply mirror equation and the condition: (a) f < 0 (concave mirror); u < 0 (object on left) (b) f > 0; u < 0 (c) f > 0 (convex mirror) and u < 0 (d) f < 0 (concave mirror); f < u < 0 to deduce the desired result.
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Physics Class 11 · Chapter 2
2.1 Two charges 5 × 10–8 C and –3 × 10–8 C are located 16 cm apart. At what point(s) on the line joining the two charges is the electric potential zero? Take the potential at infinity to be zero.
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📋 Question Details
- Chapter
- Inverse Trigonometric Functions
- Topic
- Properties of inverse trigonometric functions
- Year
- 2024
- Shift
- 09 Apr Shift 2
- Q Number
- Q86
- Type
- Numerical
- NCERT Ref
- Class 12 Mathematics Ch 2: Inverse Trigonometric Functions
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