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Please give the solution of attached question .How we can find minimum and maximum value of these function. Please give the solution of attached question .How we can find minimum and maximum value of these function.
let sinx=s and cosx=cwe know that c^12and s^2, s^4, s^6>=0adding these inequalities, we get(1 – c^12)+s^2+s^4+s^6>=0or (1+s^2)(1+s^4)>=c^12multiplying booth sides by c^2>=0,c^2*(1+s^2)(1+s^4)>=c^12*c^2or (1 – s^2)(1+s^2)(1+s^4)>=c^14 (1 – s^4)(1+s^4)>=c^14 1 – s^8>=c^14or c^14+s^8or Aand as s^8, c^14>=0, adding we get s^8+c^12>=0so, 0
let sinx=s and cosx=c
we know that c^12
and s^2, s^4, s^6>=0
adding these inequalities, we get
(1 – c^12)+s^2+s^4+s^6>=0
or (1+s^2)(1+s^4)>=c^12
multiplying booth sides by c^2>=0,
c^2*(1+s^2)(1+s^4)>=c^12*c^2
or (1 – s^2)(1+s^2)(1+s^4)>=c^14
(1 – s^4)(1+s^4)>=c^14
1 – s^8>=c^14
or c^14+s^8
or A
and as s^8, c^14>=0, adding we get
s^8+c^12>=0
so,
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