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 value of given that = sqrt(3), we can use the trigonometric identity relating and : Step 1: Recall the Pythagorean identity. The identity is 1 + ^2 = ^2. Step 2: Substitute the given value of into the identity. We are given = sqrt(3). 1 + (sqrt(3))^2 = ^2 Step 3: Simplify the equation. 1 + 3 = ^2 4 = ^2 Step 4: Solve for . Take the square root of both sides: = ±sqrt(4) = ± 2 Step 5: Choose the correct option. The given options are A. (1)/(sqrt(3)), B. 1, C. 2, D. (1)/(2). Since 2 is one of the options, and without further information about the quadrant of , we select the positive value. If = sqrt(3), then could be ()/(3) (in the first quadrant) where = 2, or (4)/(3) (in the third quadrant) where = -2. Given the multiple-choice options, 2 is the appropriate answer. The final answer is C. 2.