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
Step 1: Apply trigonometric reduction formulas to simplify each term in the expression. • (180^ - x) = x (sine is positive in the second quadrant) • (360^ - x) = x (cosine is positive in the fourth quadrant) • (180^ + x) = x (tangent is positive in the third quadrant) • ()/(2) = (90^) = 1 • (180^ - x) = - x (cosine is negative in the second quadrant) Step 2: Substitute these simplified terms back into the original expression. (( x)( x)( x))/((1)( x)(- x)) Step 3: Simplify the numerator and the denominator. ( x x x)/(-^2 x) Step 4: Replace x with ( x)/( x). ( x x ( x)/( x))-^2 x Step 5: Cancel out x in the numerator and simplify the expression. ( x x)/(-^2 x) = (^2 x)/(-^2 x) Step 6: Express the result in terms of x. -(( x)/( x))^2 = -^2 x The simplified expression is: -^2 x Send me the next one 📸