SSC CGL Model Paper 16

Question : 71 of 100

Marks: +1, -0

What is the simplified value of

(\sec^4 4 -\tan^ 2 A )-(\tan^4 A + \sec^2 A)

Solution:

(\sec^4 4 -\tan^ 2 A )-(\tan^4 A + \sec^2 A)

\sec^4 A -\tan^4 A-(\sec^2 A + \tan^2 A )

(\sec^2 A + \tan^2 A )(\sec^2 A - \tan^2 A )

-(\sec^2 A + \tan^2 A )

(∵\sec^2 A + \tan^2 A = 1)

(\sec^2 A + \tan^2 A )- (\sec^2 A + \tan^2 A )

= 0

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