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:.
Step-by-step explanation:.
The answer is B, I hope this helps! (don't forget to give brainliest)
Answer:
1/8 is the bigger fraction
Step-by-step explanation:
When comparing fractions with different denominators, and the numerator is one, like 1/8. The one with the smaller number for the denominator is greater.
You could also compare them by finding common denominators, so for 1/8 and 1/9, a common denominator would be /63. So you would take 
and multiply that by 
. You would then get 
. When you take 
times 
you get 
. So when comparing you can see that 1/8 is greater than 1/9.
Answer:
explain the difference between a postulate and a theorem:
A postulate is a statement that is to be assumed as true without proof. A theorem is a true statement that can be always proven.(put an example from the module. Idk the module ofc)
Idk the other thing
Step-by-step explanation:
Please mark brainliest :)
