Asked by clive
Show that:
sin^2(45 + A) + sin^2(45 - A ) = 1
sin^2(45 + A) + sin^2(45 - A ) = 1
Answers
Answered by
Steve
You can expand both binomials, and watch things cancel out, or note that
2sin^2(45+A) = 1-cos(90+2A)
2sin^2(45-A) = 1-cos(90-2A)
cos(90+x) = -sinx
cos(90-x) = sinx
Now just add it up.
2sin^2(45+A) = 1-cos(90+2A)
2sin^2(45-A) = 1-cos(90-2A)
cos(90+x) = -sinx
cos(90-x) = sinx
Now just add it up.
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