Asked by K.T.
prove sin(α+β)sin(α-β)=cos^2β-cos^2α
Answers
Answered by
Steve
sin(a+b)sin(a-b)
(aina cosb + cosa sinb)(sinacosb - cosa sinb)
sin^2acos^2b + sinacosasinbcosb - sinacosasinbcosb - cos^2asin^2b)
(1-cos^2a)cos^2b - (1-cos^2b)cos^2a
cos^2b - cos^acos^b - cos^2a + cos^2acos^2b
cos^2b - cos^2a
(aina cosb + cosa sinb)(sinacosb - cosa sinb)
sin^2acos^2b + sinacosasinbcosb - sinacosasinbcosb - cos^2asin^2b)
(1-cos^2a)cos^2b - (1-cos^2b)cos^2a
cos^2b - cos^acos^b - cos^2a + cos^2acos^2b
cos^2b - cos^2a
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.