1. Solve the equation over the interval [0, 2m). Write numbers using integers or simplified fractions. a 2 sin 8-1-2 b. 4 sinx=1-4 cos2x 2. Solve the equation over the set of real numbers. Write numbers using integers or simplified fractions a 2sin 2x = 1 b. 5 csc 8+10=3 csc 8 + 14 2cotr+CSCx=0 3. Solve the equation over the interval [0,2m). Give the exact solution in radians and give an approximation in degrees rounded to 1 decimal place. Write your answer in simplest form sin 14 25 4. A ladder, 200 inches long, leans against a house. If the angle between the ground and the ladder is 56, how far from the wall is the bottom of the ladder? 5. The measures of two sides and an angle are given. Determine whether 0, 1, or 2 triangles exist, and if there is (are) triangle(s), solve the triangle(s). Round angles to the nearest degree, and sides to the nearest hundredth b=40 m, c = 34 m. y = 38 6. The measures of two sides and an angle are given. Determine whether 0, 1, or 2 triangles exist. and if there is (are) triangle(s), solve the triangle(s). Round angles to the nearest degree, and sides to the nearest hundredth a=6, b=10, and a = 103" 7. The measures of three sides are given. Determine whether 0, 1, or 2 triangles exist, and if there is(are) triangle(s) solve the triangle(s). Round angles to the nearest degree, and sides to the nearest hundredth. Solve the triangle given, a = 6, b= 10, and c = 16 8. The measures of two sides and an angle are given. Determine whether 0, 1, or 2 triangles exist, and if there is (are) triangle(s), solve the triangle(s). Round angles to the nearest degree, and sides to the nearest hundredth. a=4, c=3, and l = 100" 9. A ship leaves port at 8 knots heading N27 W. After 3 hours it makes a 90 clockwise turn to a new bearing of N63'E and travels for 1.2 hours. a. Find the ship's distance from port to the nearest tenth of a nautical mile. b. Find the bearing required for the ship to return to port. Round to the nearest degree.