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pishuonlain [190]
3 years ago
11

Prove that : sin^4(2x)=3/8-1/2cos4x+1/8cos8x Someone plzz help!!!

Mathematics
1 answer:
Gekata [30.6K]3 years ago
7 0
Sin^2 (2x) = (1 - cos(4x))/2
---> sin^4 (2x) = (1/4)(1 - cos4x)^2 = (1/4)(1 - 2cos4x + cos^2 (4x)) and replace cos^2(4x) by (1/2)(1+cos(8x)) --->answer
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Input the information given:
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Answer:

STEP

1

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           12

Simplify   ——

           1  

Equation at the end of step

1

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    -15       k        5      

 (((————)+((8•—)•k))-————————-10k)+(12•k2))-5k)-12

    (k2)      2      (k3)(k2)

STEP

2

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Equation at the end of step 2

    -15       k        5      

 (((————)+((8•—)•k))-————————-10k)+(22•3k2))-5k)-12

    (k2)      2      (k3)(k2)

STEP  

3

:

Equation at the end of step

3

:

    -15       k        5    

 (((————)+((8•—)•k))-——————-10k)+(22•3k2))-5k)-12

    (k2)      2      (k3)k2

STEP  

4

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            5

Simplify   ——

           k3

Equation at the end of step

4

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 (((————)+((8•—)•k))-————-10k)+(22•3k2))-5k)-12

    (k2)      2      k3k2

STEP

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Simplify   —

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Equation at the end of step

5

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 (((————)+((8•—)•k))-————-10k)+(22•3k2))-5k)-12

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STEP  

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Simplify   ——

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