4. (10 pts) Solve the equation sin(x) tan(x) + 2 sin(x) = 0, finding all solutions...

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4. (10 pts) Solve the equation sin(x) tan(x) + 2 sin(x) = 0, finding all solutions in the interval [0, 360). Show work. HINT: Start by factoring the left side of the equation, noting that sin x is a factor. (You should be able to provide the exact values of the solutions and state them in degrees.) 5. (12 pts) For the triangle ABC, we are given that C= 75, a = 15.0, and c = 25.0. (Side a is the side opposite angle A, side b is the side opposite angle B, and side c is the side opposite angle C.) Solve the triangle; that is, find the two remaining angles and the remaining side. Report angles to the nearest degree and the length rounded to one decimal place. Show work. 4. (10 pts) Solve the equation sin(x) tan(x) + 2 sin(x) = 0, finding all solutions in the interval [0, 360). Show work. HINT: Start by factoring the left side of the equation, noting that sin x is a factor. (You should be able to provide the exact values of the solutions and state them in degrees.) 5. (12 pts) For the triangle ABC, we are given that C= 75, a = 15.0, and c = 25.0. (Side a is the side opposite angle A, side b is the side opposite angle B, and side c is the side opposite angle C.) Solve the triangle; that is, find the two remaining angles and the remaining side. Report angles to the nearest degree and the length rounded to one decimal place. Show work.