The value of tan⁻¹(1) + cos⁻¹(−1/2) + sin⁻¹(−1/2) is: A. π/4 B. 3π/4 C. 5π/4 D. π/2 Answer: B) 3π/4 Explanation: tan⁻¹(1) = π/4. cos⁻¹(−1/2) = π − π/3 = 2π/3. sin⁻¹(−1/2) = −π/6. Sum = π/4 + 2π/3 − π/6 = (3π + 8π − 2π)/12 = 9π/12 = 3π/4.

imo class 12 inverse trigonometric functions

The value of tan⁻¹(1) + cos⁻¹(−1/2) + sin⁻¹(−1/2) is:

VAVidaara Admin Asked 6d ago 0 views 0 answers

The value of tan⁻¹(1) + cos⁻¹(−1/2) + sin⁻¹(−1/2) is:

Answer: B) 3π/4

Explanation: tan⁻¹(1) = π/4. cos⁻¹(−1/2) = π − π/3 = 2π/3. sin⁻¹(−1/2) = −π/6. Sum = π/4 + 2π/3 − π/6 = (3π + 8π − 2π)/12 = 9π/12 = 3π/4.