MATH 108 Summer 2017 Solve the equation. 1) 2 tan2x - 3 sec x = 0 2) 2 cos3 = cos 3)2 sin x cos x + cos x = 0 4) csc2x - 2cot2x = 0 Prove the identity. 5) tan2 x sin2 x = tan2 x -- sin2 Find the area of triangle. 6) B = 60.9, a = 36.2 cm, c = 42.2 cm Round to the nearest tenth. Solve the triangle, if possible. Round to the nearest hundredth. 7) A = 25.1 b = 13.6 C = 98.1 8) C = 120.75 c = 15.15 a = 12.20 Solve. 9) To find the distance AB across a river, a distance BC of 461 m is laid off on one side of the river. It is found that B = 106.7 and C = 16.9. Find AB. Round to the nearest meter. 10) A hot-air balloon is rising vertically 12 ft/sec while the wind is blowing horizontally at 5 ft/sec. Find the angle that the balloon makes with the horizontal. 11) What arc length corresponds to a radius of 9.5 cm and a central angle of 5 ? 12 Round to the nearest hundredth of a cm. Graph. 12) y = tan(-x ) 13)y = 2 sin (x - /4) 14) Given that tan = 8/15 and is in quadrant III, find sin 2, cos 2, and cot . Find the exact value. No decimal answers. 15) Given that sin A = -4/5 with A in quadrant IV, find sin 2A and tan A