Activity 1: Derivatives and Integrals of Basic Trigonometric Functions Recommended time to complete: 30 minutes The following equations inform us of the derivatives of the sine and cosine functions: (sin x) = cos x and (cos x) = -sin x. == Thus, f cos x dx = sinx + C and f sinx dx = - cos x + C. What would be the derivative and integral of the tangent, cotangent, secant, and cosecant? don't answer this Task We can complete a basic set of derivative and integral formulas in trigonometry with the ideas learned last week. Feel free to work on these tasks with a few of your classmates, if possible. 1. Find the derivatives of tan.x, csc.x, secx, and cotx. don't answer this 2. For each of the following items, the variable u is given. What is du/u? Use this information to find the antiderivatives of tanx, cotx, secx, cscx. What kind of differentiation do you think played a significant role in getting these results? answer this a. u = secx b. u = sinx c. u secx + tanx d. u = cscx cotx -