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
Here are the solutions to the problems: Question 72: Obtain all the values between 0 and 2 such that = (1)/(sqrt(2)). Step 1: Find the principal value of . We know that (()/(4)) = (1)/(sqrt(2)). So, one value is _1 = ()/(4). Step 2: Find other values in the interval [0, 2]. The cosine function is positive in the first and fourth quadrants. The angle in the first quadrant is ()/(4). The angle in the fourth quadrant is 2 - ()/(4) = (8 - )/(4) = (7)/(4). Both ()/(4) and (7)/(4) are within the interval 0 2. The final answer is B. ()/(4) and (7)/(4). --- **