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's how to solve the expression without using tables or calculators: Find the value of ( - 2 )/(2 ) Step 1: Find . Given = (5)/(13) and 0^ 90^. We use the Pythagorean identity ^2 + ^2 = 1. ((5)/(13))^2 + ^2 = 1 (25)/(169) + ^2 = 1 ^2 = 1 - (25)/(169) ^2 = (169 - 25)/(169) ^2 = (144)/(169) Since 0^ 90^, is positive. = sqrt((144)/(169)) = (12)/(13) Step 2: Find . We use the identity = ( )/( ). = (5)/(13)(12)/(13) = (5)/(12) Step 3: Substitute the values into the numerator of the expression. The numerator is - 2 . 2 = (12)/(13) - 2((5)/(13)) = (12)/(13) - (10)/(13) = (2)/(13) Step 4: Substitute the value into the denominator of the expression. The denominator is 2 . 2 = 2((5)/(12)) = (10)/(12) = (5)/(6) Step 5: Calculate the final value of the expression. Now, divide the numerator by the denominator. ( - 2 )/(2 ) = (2)/(13)(5)/(6) = (2)/(13) × (6)/(5) = (12)/(65) The value of the expression is (12)/(65). Last free one today — make it count tomorrow, or type /upgrade for unlimited.