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: Use the trigonometric identity = (90^ - ) to rewrite the left side of the equation. Given (2x+15^) = (x-30^). We can write (2x+15^) as (90^ - (2x+15^)). So, the equation becomes: (90^ - (2x+15^)) = (x-30^) Step 2: Equate the angles since the sine values are equal. 90^ - (2x+15^) = x-30^ 90^ - 2x - 15^ = x - 30^ Step 3: Simplify and solve for x. 75^ - 2x = x - 30^ Add 2x to both sides and add 30^ to both sides: 75^ + 30^ = x + 2x 105^ = 3x Divide by 3: x = (105^)/(3) x = 35^ Step 4: Verify that the value of x is within the given range 0^ x 90^. Since 0^ 35^ 90^, the value is valid. The value of x is 35^. Send me the next one 📸