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Complete the Identity sec(α+β)sec(αβ)=?\sec ( \alpha + \beta ) \sec ( \alpha - \beta ) = ?

Question 374

Multiple Choice

Complete the identity.
- sec(α+β) sec(αβ) =?\sec ( \alpha + \beta ) \sec ( \alpha - \beta ) = ?


A) secαsecβcos2αsin2β\frac { \sec \alpha \sec \beta } { \cos ^ { 2 } \alpha - \sin ^ { 2 } \beta }

B) 1cos2αcos2β\frac { 1 } { \cos ^ { 2 } \alpha - \cos ^ { 2 } \beta }

C) sec2αsec2β1tan2αtan2β\frac { \sec ^ { 2 } \alpha \sec ^ { 2 } \beta } { 1 - \tan ^ { 2 } \alpha \tan ^ { 2 } \beta }

D) sec2αsec2β\sec ^ { 2 } \alpha - \sec ^ { 2 } \beta

Correct Answer:

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