Problem 1 (10 points) Given the trigonometric equation 2sin x = 4 sin x + 6 . a) Solve this equation on the interval [0,27). Show the steps! b) Show the solution(s) from the previous step (graph the solution(s)) on the unit circle. c) Find all solutions for the original equation. Make sure to write the solution(s) in the appropriate form! e) Graph this function y = 2 sin x - 4 sin x + 6 on the interval [0,2x) by using the technology tool(s). For instance, you can use free graphing tool Desmos Graphing Tool. Problem 2 (10 points) Given the trigonometric equation 2 cos2 x - sin x - 1 = 0. a) Solve this equation on the interval [0,27). Show the steps! b) Show the solution(s) from the previous step (graph the solution(s)) on the unit circle. c) Find all solutions for the original equation. Make sure to write the solution(s) in the appropriate form! e) Graph this function y= 2 cos2 x - sin x - 1 on the interval [0,2x) by using the technology tool(s). For instance, you can use free graphing tool Desmos Graphing Tool