prove that cos4A=8cos⁴A-Acos²A+1+1
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Step-by-step explanation:
ANSWER
L.H.S=cos4A=cos2(2A)
=2cos
2
2A−1
=2(2cos
2
A−1)
2
−1
=2(4cos
4
A+1−4cos
2
A)−1
=8cos
4
A+2−8cos
2
A−1
=8cos
4
A−8cos
2
A−1=R.H.S
Hence proved.
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