Problem 3. Find a solution to the equation if possible. Give the answer in exact form and in decimal form. If no solution exists explain why. tan a) -2 = tan(3x - 1) b) 1 = 8 cos(x) - 3 c) 6 = 2 sin(5x)Problem 7. Due to recent economic uncertainty in the state of Cornellium, the interest rate one can earn by opening a savings account at Cornellium State Bank varies wildly over the course of the year. In particular, the interest rate R(t) given to new customers, where t is measured in months since January 1, 2017, is R(t) = 5 + 4.6 sin (at) a) What is the period of the function R(t) ? b) What interest rate would you earn if you opened a new account on March 1, 2017? c) Which is the last month of 2017 in which you could open a new account and earn an interest rate of at least 6 percent