trigonometric functions (prove equalities)?

2008-08-25 4:41 pm
can anyone help me with this...
i have to prove that the left side = the right side...

sin^4A - cos^4A = 2sin^2A -1

thanks~

回答 (1)

2008-08-25 4:48 pm
✔ 最佳答案
[sin^2A]^2 - [cos^2A]^2 = 2sin^2A -1
LHS > using X^2 - Y^2 = (X+Y) (X-Y)

[sin^2A + cos^2 A][sin^2 A - cos^2A]
[1] [sin^2 A - (1- sin^2 A)]
= 2 sin^2 A - 1 = RHS


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