Please help me review my answers by solving showing work fo

Solution

Solution:- tan 15 = tan(45 -30)

tan(A- B) = { (tan A - tan B)/(1 +tan A tan B) }

tan (45 -30 ) = { (tan 45 -tan 30)/ (1 +tan 45 tan 30) }

= {(1 -0.577)/(1 + 0.577) = 0.268

sin 22.5

sin 2A = 2 sin A cos A

sin^2(a/2) = 1/2 (1 - cos a)

sin^2(22.5) = 1/2(1 - cos 45) = 1/2 ( 1 - 0.707) = 0.1465

sin (22.5) = sqrt (0.1465) = 0.3827