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 Pythagorean identity. The fundamental trigonometric identity is ^2 + ^2 = 1. For = 26^, this becomes: ^2 26^ + ^2 26^ = 1 Step 2: Substitute the given value. We are given that 26^ = k. Substitute this into the identity: ^2 26^ + (k)^2 = 1 ^2 26^ + k^2 = 1 Step 3: Solve for 26^. Subtract k^2 from both sides: ^2 26^ = 1 - k^2 Take the square root of both sides. Since 26^ is in the first quadrant, 26^ is positive. 26^ = sqrt(1 - k^2) The expression for 26^ in terms of k is: sqrt(1 - k^2) What's next? Send 'em! 📸