What is the general solution for the equation

If an equation contains trigonometric functions of multiples of angles, such as

Which of the following is NOT a Double-Angle Formula for

The Half-Angle Formula for

A soccer ball (mass = 0.43 kg) is moving at a speed of 20 m/s when it is kicked with a force of 300 N resulting in it going in the opposite direction with the same speed as before. What is the magnitude of the impulse delivered to the ball?

A billiard ball rolling across a table at  m/s makes a head-on elastic collision with an identical ball.Find the speed of the first ball after the collision when the second ball is moving toward the first at a speed of m/s. Express your answer in m/s.

A billiard ball rolling across a table at  m/s makes a head-on elastic collision with an identical ball.Find the velocity of the second ball after the collision when the second ball is moving toward the first at a speed of m/s and the direction of initial velocity of the first ball is in +x-direction. Express your answer in m/s.

A cube of wood having an edge dimension of  cm and a density of kg/m3 floats on water. What is the distance from the horizontal top surface of the cube to the water level? 1 cm = 10-2 m, 1 cm3 = 10-6 m3. Water’s density is 1000 kg/m3, and its acceleration due to gravity is g = 9.8 m/s2. Express your answer in cm.

A solar heating system has a 25.0% conversion efficiency; the solar radiation incident on the panels is 800 W/m2. What is the increase in temperature of 25.0 kg of water in a 1.00-h period by a 3.40-m2-area collector? (cw = 4 186 J/kg⋅°C)

An ideal diatomic gas expands adiabatically from  m3 to  m3. If the initial pressure and temperature are ×105 Pa and  K, respectively, find the work done on the gas. Express your answer in kJ. 1 kJ = 103 J. The universal gas constant is R = 8.314 J/mol.K. The ratio of molar specific heat at constant pressure to that at constant volume (adiabatic index of the gas) for the ideal diatomic gas is