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what is another form of: sin (A+B) sin (A-B)/ cos^2 A cos^2 B

a) cos^2 A - cos^2 B
b) tan^2 A - tan^2 B
c) tan^2 A - tan^2 B
d) sin^2 A - sin^2 B

please show the steps you take to get to the answer! thank you

  • TRIG - ,

    sin (a+b) = sin a cos b + cos a sin b
    sin (a-b) = sin a cos b - cos a sin b
    sin^2 a cos^2 b - cos^2 a sin^2 b
    now divide by cos^2 a cos^2 b

    sin^2 a/cos^2a - sin^2 b/ cos^2 b

    = tan^2 a - tan^2 b

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