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
Given 22^ = p. 2.2.1 Step 1: Express 202^ in terms of a reference angle. The angle 202^ lies in the third quadrant. The reference angle is 202^ - 180^ = 22^. In the third quadrant, the sine function is negative. 202^ = (180^ + 22^) = - 22^ Step 2: Substitute the given value of 22^. Since 22^ = p, we have: 202^ = -p The final answer is -p. 2.2.2 Step 1: Express 44^ using a double angle identity. We know that 44^ = 2 × 22^. We can use the double angle identity for cosine, 2 = 1 - 2^2 . Let = 22^. 44^ = (2 × 22^) = 1 - 2^2 22^ Step 2: Substitute the given value of 22^. Since 22^ = p, we have: 44^ = 1 - 2(p)^2 = 1 - 2p^2 The final answer is 1 - 2p^2. Send me the next one 📸