有誰可以幫我計這題數?

2008-11-14 5:08 am
唔該..有邊個可以計個步驟同個ans比我睇?


prove the following identities
sec^2 θ csc^2 θ = sec^2 θ+scs^2 θ

回答 (1)

2008-11-23 5:33 am
✔ 最佳答案
Prove : sin4x + cos4x = 1 - 2 sin2x cos2x



LHS = sin4x + cos4x



= sin4x + 2 sin2x cos2x + cos4x - 2 sin2x cos2x



= (sin2x + cos2x)2 - 2 sin2x cos2x



= (1)2 - 2 sin2x cos2x



= 1 - 2 sin2x cos2x



= RHS
參考: me


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