Solve the equation through a combination of factoring and the use of trigonometric identities. Give your answers in radians. sin (t) tan (t) + 7 tan (t)- sin (t) -7=0 (Express your answer(s) in exact form, using symbolic notation and fractions where needed. Give your answer(s) in the form 0 + лk where is in the interval 12/11 and k is any integer. Separate multiple sets of answers by commas if appropriate.) 2' X =

Use the cosine of a sum and cosine of a difference identities to find cos (s+t) and cos (st). sin s= 5 13 and sint = - 4 s in quadrant I and t in quadrant III 5 cos (s+t)= (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) cos (st) = ☐ (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)

The relationship between the cone's vertex angle, 0, and the Mach number, M, of an aircraft that is flying faster than the speed of sound is given by 0 1 sin 2 M If 0= determine the Mach speed, M, of the aircraft. π 6' Express the speed as an exact value. M = (Simplify your answer. Type an exact answer, using radicals as needed. Rationalize the denominator.) Express the speed as a decimal to the nearest tenth. Ma Q Search (DELL IJ b