If `f(x)=x^(11)+x^9-x^7+x^3+1`
and `f(sin^(-1)(sin8)=alpha,alpha`
is constant, then `f(tan^(-1)(t a n8)`
is equal to
`alpha`
(b) `alpha-2`
(c) `alpha+2`
(d) `2-alpha`
A. `alpha`
B. `alpha -2`
C. `alpha + 2`
D. `2 - alpha`
Correct Answer - A
We have,
`A(alpha, beta)^(-1)=1/e^(beta) [(e^(beta) cos alpha,-e^(beta) sin alpha,0),(e^(beta) sin alpha,e^(beta) cos alpha,0),(0,0,1)]`
`=A(-alpha, -beta)`