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Inga [223]
3 years ago
12

Please someone help me to prove this. ​

Mathematics
1 answer:
morpeh [17]3 years ago
6 0

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

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Paraphin [41]
<h2>ABC and DEF</h2>

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Hope this will help...

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6 0
2 years ago
Is the number 71 a prime or composite?pls I need help
docker41 [41]
The bottom answer is wrong; it's prime because it cannot be divisible by anything except for itself and one.

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3 0
3 years ago
Solve for t:<br>t-3(4-t)=-24​
OleMash [197]

Answer:

t = -3

Steps:

4t - 12 = -24

4t - 12 + 12 = -24 + 12

4t = -12

4t/4 = -12/4

t = -3

7 0
2 years ago
Solve: 3x-5y= -15 using y=mx+b method. Show steps
Sliva [168]
3x-5y=-15                                What you do to one side, you must do to the other.
-<u>3x        -3x
</u><u />-5y=-3x-15

<u>-5y</u>=<u>-3x</u> <u>- 15</u>
-5     -5   -5

Final Answer: y=3/5x + 3

4 0
3 years ago
Read 2 more answers
I need help with math equation: 5 1/4 a = 7/8<br> a =
kari74 [83]
Answer: a = 1/6
Explanation: Convert the mixed number into an improper fractions. Which is 21/4.
Then you can do the butterfly method.
6 0
2 years ago
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