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sp2606 [1]
3 years ago
7

I need help withy these questions.

Mathematics
1 answer:
Alekssandra [29.7K]3 years ago
8 0
The little square means 90° and a straight line means 180° so 180 minus 68° minus 90° is 22° which leaves,
1) 112° and since you can flip 68° exacly the same on both sides it is a vertical angle which means
3)68.
4) 90°
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(-3x^{-4})^2\\9x^{-8}
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What is the sum of the arithmetic series below?
Irina-Kira [14]
Hello : 
the common ratio is r = -95-(-100)=5
the general terme is : un= u1+(n-1)r
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un = 5n-105
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Please someone help me to prove this. ​
morpeh [17]

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   \checkmark

6 0
3 years ago
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