8. sin240 + sin225 + cos315
= sin(180+60) + sin(180+45) + cos(360-45)
= (-sin60)+(-sin45)+cos45
= (-1/2 √3)+(-1/2 √2)+(1/2 √2)
= -1/2 √3
9. (sin270.cos315-tan135)/(sin150.cos225)
=(sin(180+90).cos(360-45)-tan(180-45))/(sin(180-30).cos(180+45))
=((-sin90).cos45-(-tan45))/(sin30.(-cos45))
=((-1).(1/2 √2)-(-1))/((1/2).(-1/2 √2))
=((-1/2 √2)+1)/(-1/4 √2)
= (-1/2 √2)/(-1/4 √2) + 1/(-1/4 √2)
= 2 + (-4/√2)
= 2 - (4/2) √2
= 2-2√2
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8. sin240 + sin225 + cos315
= sin(180+60) + sin(180+45) + cos(360-45)
= (-sin60)+(-sin45)+cos45
= (-1/2 √3)+(-1/2 √2)+(1/2 √2)
= -1/2 √3
9. (sin270.cos315-tan135)/(sin150.cos225)
=(sin(180+90).cos(360-45)-tan(180-45))/(sin(180-30).cos(180+45))
=((-sin90).cos45-(-tan45))/(sin30.(-cos45))
=((-1).(1/2 √2)-(-1))/((1/2).(-1/2 √2))
=((-1/2 √2)+1)/(-1/4 √2)
= (-1/2 √2)/(-1/4 √2) + 1/(-1/4 √2)
= 2 + (-4/√2)
= 2 - (4/2) √2
= 2-2√2