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Consider the matrix f(x)=[[cos x,-sin x,...

Consider the matrix `f(x)=[[cos x,-sin x,0],[sin x,cos x,0],[0,0,1]]`
Given below are two statements :
Statement I : `f(-x)` is the inverse of the matrix `f(x)` .
Statement II : `f(x)f(y)=f(x+y)`
In the light of the above statements ,choose the correct answer from the options given below

A

Statement I is true but Statement II is false

B

Both Statement I and Statement II are false

C

.Both Statement I and Statement II are true

D

Statement I is false but Statement II is true

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