First move the decimal by one and add a 0 and then a decimal after the 0.
then divide from there
Answer:
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<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>
Answer:
Step-by-step explanation:
1) Find the common denominator.
2) Multiply everything by the common denominator.
3) Simplify.
4) Check the answer(s) to make sure there isn't an extraneous solution.
