SSC CGL Model Paper 12

Question : 69 of 100

Marks: +1, -0

What is the simplified value of

\cosec^6\A-\cot^6\A

-3\cosec^2\A\cot^2\A

Solution:

\cosec^6\A-\cot^6\A

-3\cosec^2\A\cot^2\A

=(\cosec^2\A)^3-(\cot^2\A)^3

-3\cosec^2\A\cot^2\A

(\cosec^2\A-\cot^2\A)

=(\cosec^2\A-\cot^2\A)^3=1^3=1

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