Answer:

Sin A=4/root 13

sec^2A-tan^2A

=1 [ identitity]

Step-by-step explanation:

cotA=4/3

cotA=base/perpendicular

so, 4 is base and 3 is perpendicular

By Pythagoras Theorem,

AB^2+BC^2=AC^2

3^2+2^2=AC^2

9+4=AC^2

under root 13=AC

So, Sin A=4/root 13

sec^2A-tan^2A

=1 [ identitity]

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