This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
To find the exact solution of the expression 3(/4) + (/6)(/3), we need to evaluate each trigonometric term. Step 1: Evaluate the individual trigonometric functions. We know the standard values for these angles: • (/4) = (45^) = 1 • (/6) = (1)/((/6)) = (1)/((30^)) = (1)/(sqrt(3)/2) = (2)/(sqrt(3)) • (/3) = (60^) = sqrt(3)2 Step 2: Substitute these values into the given expression. 3(/4) + (/6)(/3) = 3(1) + ((2)/(sqrt(3)))(sqrt(3)2) Step 3: Simplify the expression. 3(1) + ((2)/(sqrt(3)))(sqrt(3)2) = 3 + 2sqrt(3)2sqrt(3) = 3 + 1 = 4 The exact solution is 4. Comparing this with the given options: A) 2 B) 4 C) 7 D) 3 The correct option is B. The final answer is B) 4.