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 (42^) + (402^), we first need to simplify the term (402^). Step 1: Simplify (402^) using the periodicity of the sine function. The sine function has a period of 360^, which means () = ( + n · 360^) for any integer n. We can write 402^ as 360^ + 42^. (402^) = (360^ + 42^) Using the identity ( + 360^) = (): (402^) = (42^) Step 2: Substitute the simplified term back into the original expression. The original expression is (42^) + (402^). Substitute (402^) = (42^): (42^) + (42^) Since 42^ is not a standard angle for which exact trigonometric values are typically known without a calculator, this is the most simplified form of the expression. The final answer is (42^) + (42^). 3 done, 2 left today. You're making progress.