To annoy everyone and make life hard as heck. There is no true purpose behind it and teachers just like to make everyone's home life 10x more annoying. They also do it because 99% of teacher are crazy cat people with no life. So for them homework keeps them busy
Answer:
9a+18=9
9a=-9
a=-1
Step-by-step explanation:
4, 9, 16, 25, 36, 49, 64, 81, 100, 121
a negative times a negative is a positive and squaring those numbers would be multiplying a negative by itself.
For example (-2)*(-2) is 4
**note, this only applies if the negative value is in the parentheses. (-2)^2 is different than -2^2 because with -2^2 only the 2 is getting squared and then you’d have to multiply the negative after**
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 