Question

Show that tan40° tan45° tan50°=1

Answer 1

tan40 tan45 tan50
tan (90-50) tan 45 tan50
cot50 tan45 tan50
1/tan 50 (1) tan 50(since tan 45 =1)
finally,answer is 1

Answer 2

tan40tan45tan50 = tan(90-50) * 1 * tan 50=cot 50 * tan50 = 1/tan50 * tan 50 = 1. ........(Proved)