Angles a and b are in the fourth quadrant. If sin a = -12/13 and cos b = 20/29 find tan (a+b)

tan (a+b) = 2.27  or (345/152)

Step-by-step explanation:

a and b are in the fourth quadrant

sin a = -12/13             tan a = - 12/5 = - 2.4

cos b = 20/29           tan b = - 21/20 =.1.05

tan (a+b) = (tan a + tan b) / (1 - tan a * tan b)

              = (-2.4 + - 1.05) / ( 1 - (-2.4)*(-1.05))

              = (-3.45) / (-1.52)

              = 2.27

(d)

step-by-step explanation:

given: the line in the graph passes through points (5,30) and (6,26).

then, the equation of line is:

now, put y=a(n) and x=n,

hence, option d is correct.