Question

if cos 2A=1/2 tan 45 ,where A is an acute angle, then find the value of A

Answer 1

given,
cos2A = 1/2 tan45
= cos2A = 1/2 * 1 (tan45 = 1)
= Cos2A = cos60 (cos60 = 1/2)
on comparison of both sides,
2A = 60
= A = 60/2 = 30

Answer 2

angle A =30° b/c
cos2A=1/2tan 45°
tan45=1