<span>exact value of sin 157.5 without using a calculator
sin(157.5)=sin(315/2)
Identity: sin(x/2)=±√[(1-cosx)/2]
select positive identity since 175 is in the 2nd quadrant where sin>0
sin(315/2)=√[(1-cos315)/2]
cos 315=cos45 in quadrant IV=√2/2
sin(315/2)=√[(1-√2/2)/2]=√[(2-√2)/4]=√(2-√2)/2
sin(157.5)=√(2-√2)/2
check using calculator:
sin157.5º≈0.382...
√(2-√2)/2≈0.382...</span>
The answer is $0.55
$8.50 is 100%.
x is 6.5%
8.50 : 100% = x : 6.5%
x = 8.50 : 100% * 6.5%
x = 0.5525
x ≈ $0.55
Answer:
x = 100
Step-by-step explanation:
