Answer: see proof below
<u>Step-by-step explanation:</u>
Use the Double Angle Identity: sin 2Ф = 2sinФ · cosФ
Use the Sum/Difference Identities:
sin(α + β) = sinα · cosβ + cosα · sinβ
cos(α - β) = cosα · cosβ + sinα · sinβ
Use the Unit circle to evaluate: sin45 = cos45 = √2/2
Use the Double Angle Identities: sin2Ф = 2sinФ · cosФ
Use the Pythagorean Identity: cos²Ф + sin²Ф = 1
<u />
<u>Proof LHS → RHS</u>
LHS: 2sin(45 + 2A) · cos(45 - 2A)
Sum/Difference: 2 (sin45·cos2A + cos45·sin2A) (cos45·cos2A + sin45·sin2A)
Unit Circle: 2[(√2/2)cos2A + (√2/2)sin2A][(√2/2)cos2A +(√2/2)·sin2A)]
Expand: 2[(1/2)cos²2A + cos2A·sin2A + (1/2)sin²2A]
Distribute: cos²2A + 2cos2A·sin2A + sin²2A
Pythagorean Identity: 1 + 2cos2A·sin2A
Double Angle: 1 + sin4A
LHS = RHS: 1 + sin4A = 1 + sin4A 
Answer:
850 steps
Step-by-step explanation:
50cm=0.1m
85/0.1=850 steps
Answer:
10cm
Step-by-step explanation:
the formula for an area of a trapezium:

where a and b are the parallel sides and h is the height. equating what we have:

simplify the numerator by adding 19.8 and 7.2=27

multiply both sides by 2

divide both sides by 27

the height is 10cm
The answer is 4!!!!!!!!! :)
Total = Principal * e ^ (rate * years)
where "e" is the mathematical constant = 2.718281828459 ...
Total = $820.00 * 2.718281828459 ^ (.05 * 3)
Total = $820.00 *
<span>
<span>
<span>
1.1618342427
</span>
</span>
</span>
Total =
<span>
<span>
<span>
952.70</span></span></span>
Source:
http://www.1728.org/rate2.htm