The problem of two simple trigonometric functions with acute angles Given that angles a and B are the two acute angles of RT triangle ABC, Sina and CoSb are the two roots of the square of equation 2 (x) - MX + 1 = 0, then how many degrees is angle a = and how many is angle m? Given that angle a is an acute angle, Tana = root 3, then sin (1 / 2) a =?

The problem of two simple trigonometric functions with acute angles Given that angles a and B are the two acute angles of RT triangle ABC, Sina and CoSb are the two roots of the square of equation 2 (x) - MX + 1 = 0, then how many degrees is angle a = and how many is angle m? Given that angle a is an acute angle, Tana = root 3, then sin (1 / 2) a =?

sinA=cosB
sinA*cosB=1/2
sinA*sinA=1/2
Sina = 1 radical / 2
A = 45 degrees
sinA+cosB=m/2
Sina + CoSb = radical / 2 + radical / 2 = 1 = m / 2
M = 2 * radical 2
A = 60 degrees, sin (1 / 2) a = sin30 = 1 / 2