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
The image shows "Find = (5)/(13)". This appears to be a given statement, and the actual question (what to find) is missing. I will assume you need to find the angle and the other primary trigonometric ratios, and . Finding Step 1: Use the inverse sine function. Given = (5)/(13). = ((5)/(13)) Step 2: Calculate the angle. ≈ 22.61986^ Rounding to one decimal place: ≈ 22.6^ The angle is approximately 22.6^. Finding Step 1: Use the Pythagorean identity. The identity is ^2 + ^2 = 1. Substitute = (5)/(13): ((5)/(13))^2 + ^2 = 1 (25)/(169) + ^2 = 1 Step 2: Solve for ^2 . ^2 = 1 - (25)/(169) ^2 = (169 - 25)/(169) ^2 = (144)/(169) Step 3: Solve for . = ±sqrt((144)/(169)) = ±(12)/(13) Assuming is an acute angle (in the first quadrant), is positive. = (12)/(13) The value of is (12)/(13). Finding Step 1: Use the identity = ( )/( ). Substitute the known values of and : = (5)/(13)(12)/(13) Step 2: Simplify the expression. = (5)/(12) The value of is (5)/(12). Drop the next question.