Question

Diketahui tan α = 2/3
nilai dari sin 2A=...?

Answer 1

Verified answer

Jawab

trigometri

tanA = 2/3 = y/x
r² = x²+ y²
r² = 4 +9
r= √13

sin A = y/r = 2/√13
cos A = x/r =  3/√13
sin  2A = 2 sin A . cos A = 2 (2)(3) /(13) = 12/13

Answer 2

Sin a =2/√13
cos a=3√13
sin 2a=2sin a.cos a
sin 2a=2.2/√13.3/√13
sin 2a=12/13