Answer:
( cos40° + isin40°)
Step-by-step explanation:
To divide
= [ cos(x₁ - x₂) + isin(x₁ - x₂)
Given
= ( cos(90 - 50)° + isin(90 - 50)°
= ( cos40° + isin40° )
<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:
The elevation lies between -140 and -141.
Step-by-step explanation:
The elevation lies between -140 and -141.
<span>When you write a number in expanded form you show how much each digit values, according its place in the number. For example, in the number 123, 3 values 3, 2 values 2*10 = 20 and 1 values 1*100 = 100, so the expanded form is 100 + 20 + 3. Using this with 84,000, you have the 8 is in the place of ten thousands, 4 is in the place of one thousand, 0 is in the place of hundreeds, 0 is in the place of tens, and 0 is in the place of units. So, the expanded form is: 80,000 + 4000. </span>