Use an addition or subtraction formula to write tan 29 tan 4

Use an addition or subtraction formula to write tan 29° tan 46 1 - tan 29 tan 46 as a trigonometric function of one number. Preview You must enter your answer as a degree converted to radians. In otherwords, if your answer is sin(2\"), then you must enter sin(2*pi/180)

Solution

given [tan29+tan46]/[1-tan29 tan46 ]

a know tan(x+y) = [ tanx + tany ]/ [1-tanxtany ]

therefore x=29 and y=46

then

[tan29+tan46]/[1-tan29 tan46 ] = tan(29+46) = tan(75)