Simplify: sin⁻¹(3/5) + sin⁻¹(8/17) = sin⁻¹(x). Then x equals:

Simplify: sin⁻¹(3/5) + sin⁻¹(8/17) = sin⁻¹(x). Then x equals:

• A. 77/85
• B. 84/85
• C. 13/85
• D. 36/85

Answer: A) 77/85

Explanation: Using formula sin⁻¹A + sin⁻¹B = sin⁻¹(A√(1−B²) + B√(1−A²)). A=3/5, B=8/17. √(1−A²)=4/5, √(1−B²)=15/17. Sum = (3/5)(15/17) + (8/17)(4/5) = 45/85 + 32/85 = 77/85. So x = 77/85.