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Can someone please prove this equation is an identity. Cos^2 X - sin^2 X = 2cos^

ID: 3025840 • Letter: C

Question

Can someone please prove this equation is an identity.
Cos^2 X - sin^2 X = 2cos^2 x - 1

Can someone give me some tips for proving indentity, aside knowing the basic identities,pytho indetites
For example when to factor, . And when to multitiply an identity 1-cost/1-cost to prove an identity.
And also when will I know if I have to simplify the other side to prove an identity
Thank you Can someone please prove this equation is an identity.
Cos^2 X - sin^2 X = 2cos^2 x - 1

Can someone give me some tips for proving indentity, aside knowing the basic identities,pytho indetites
For example when to factor, . And when to multitiply an identity 1-cost/1-cost to prove an identity.
And also when will I know if I have to simplify the other side to prove an identity
Thank you
Cos^2 X - sin^2 X = 2cos^2 x - 1

Can someone give me some tips for proving indentity, aside knowing the basic identities,pytho indetites
For example when to factor, . And when to multitiply an identity 1-cost/1-cost to prove an identity.
And also when will I know if I have to simplify the other side to prove an identity
Thank you

Explanation / Answer

cos2x - sin2x= 2 cos2x-1

RHS:

2 cos2x-1

[ from sin2x + cos2x=1]

=2 cos2x- ( sin2x + cos2x)

= 2 cos2x- sin2x - cos2x

= cos2x - sin2x

= LHS

hence proved