Solve the equation f(x)=0, complete the truth table for q p, and find alpha and alpha given alpha = (5)/(12).

Welcome back Pretty — missed you this week. The first question, "Solve the equation f(x)=0", cannot be solved as the function f(x) is not provided in the image. Here are the solutions for the other questions: Step 1: Complete the truth table. We need to fill in the columns for p and q p. For p: This is the negation of p. If p is True (T), p is False (F). If p is False (F), p is True (T). For q p: This is the conjunction of q and p. It is True only if both* q and p are True. Otherwise, it is False. The completed table is: |c|c|c|c| p & q & p & q p \\ T & T & F & F \\ T & F & F & F \\ F & T & T & T \\ F & F & T & F \\ Step 2: Find and given = (5)/(12). We use the trigonometric identity ^2 + ^2 = 1. a) Find Substitute the given value of : ((5)/(12))^2 + ^2 = 1 (25)/(144) + ^2 = 1 Subtract (25)/(144) from both sides: ^2 = 1 - (25)/(144) ^2 = (144)/(144) - (25)/(144) ^2 = (119)/(144) Take the square root of both sides. Assuming is an acute angle (or in a quadrant where cosine is positive): = sqrt((119)/(144)) = sqrt(119)sqrt(144) = sqrt(119)12 b) Find Use the identity = ( )/( ): = (5)/(12)sqrt(119)12 Multiply the numerator by the reciprocal of the denominator: = (5)/(12) × (12)/(sqrt(119)) = (5)/(sqrt(119)) To rationalize the denominator, multiply the numerator and denominator by sqrt(119): = (5)/(sqrt(119)) × sqrt(119)sqrt(119) = 5sqrt(119)119 Send me the next one 📸