Question

Tntukan tan 15°. jabarkanlahh

Answer 1

Tan 15 = sin 15/cos 15
= sin (60 - 45)/cos (60 - 45)
= (sin 60 × cos 45 - cos 60 × sin 45)/(cos 60 × cos 45 + sin 60 × sin 45)
= (1/2akar3 × 1/2akar2 - 1/2 × 1/2akar2)/(1/2 × 1/2akar2 + 1/2akar3 × 1/2akar2)
= (1/4akar6 - 1/4akar2)/(1/4akar2 + 1/4akar6)
= 1/4 (akar6 - akar2)/ 1/4 (akar2 + akar6)
= (akar6 - akar2)/ (akar 6 + akar2)