no 29 jawabannya e. 2
no 30 jawabannya b. -3/4
bisa dicek lagi, barangkali ada kesalahan
29)
sin270 cos135 tan135/sin150 cos225 = sin(270+0) cos(90+45) tan(90+45)/sin(180-30) cos(180+45)
= -cos0(-sin45)(-cot45)/sin30(-cos45)
= -1(-√2/2)(-1)/(1/2)(-√2/2)
= (-√2/2)/(-√2/4)
= √2/2×4/√2
= 2
30)
π rad = 180°
sin(π/3) cos(π/6)/(1-sec(π/3)) = sin(180/3) cos(180/6)/(1-sec(180/3))
= sin60 cos30/(1-sec60)
= sin²60/(1-1/cos60)
= (√3/2)²/(1-2)
= 3/4/-1
= -3/4
" Life is not a problem to be solved but a reality to be experienced! "
© Copyright 2013 - 2024 KUDO.TIPS - All rights reserved.
no 29 jawabannya e. 2
no 30 jawabannya b. -3/4
bisa dicek lagi, barangkali ada kesalahan
29)
sin270 cos135 tan135/sin150 cos225 = sin(270+0) cos(90+45) tan(90+45)/sin(180-30) cos(180+45)
= -cos0(-sin45)(-cot45)/sin30(-cos45)
= -1(-√2/2)(-1)/(1/2)(-√2/2)
= (-√2/2)/(-√2/4)
= √2/2×4/√2
= 2
30)
π rad = 180°
sin(π/3) cos(π/6)/(1-sec(π/3)) = sin(180/3) cos(180/6)/(1-sec(180/3))
= sin60 cos30/(1-sec60)
= sin²60/(1-1/cos60)
= (√3/2)²/(1-2)
= 3/4/-1
= -3/4