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Prove that: (cosA-cosB)^(2)+(sinA-sinB...

Prove that:
`(cosA-cosB)^(2)+(sinA-sinB)^(2)=4sin^(2)(A-B)/(2)`

Answer

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Prove that: (cosA+cosB)^(2)+(sinA+sinB)^(2)=4cos^(2)(A-B)/2

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Knowledge Check

  • If n is an odd positive interger, then ((cosA+cosB)/(sinA-sinB))^(n)+((sinA+sinB)/(cosA-cosB))^(n)=

    A
    `-1`
    B
    1
    C
    0
    D
    none of these
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