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Solve the inequalities (i) cos x le -1//2 (ii) sin x ge -1//2 (iii) tan gt-sqrt(3) (iv) sinx +sqrt(3cosx)gt0 (v)Prove that 0le(1+cos theta)/(2+sin theta)le 4/3 for all theta (vi)Solve theinequation sin^(4)(x)/(3)+cos^(4)(x)/(4)+cos^(4)(x)/(3)gt1/2

Answer»


Answer :(i) `UNDERSET(n=1)bigcup[2npi+(2pi)/(3),2npi+(4pi)/(3)]`
(ii)`underset(n=1)bigcup[2npi-(PI)/(6),2npi+(7pi)/(6)]`
(iii) `underset(n=1)bigcup[NPI-(pi)/(3),npi+(pi)/(2)]`
(iv)`underset(n=1)bigcup(6n-1)+(pi)/(3),2(3+1)(pi)/(3)`
(vi)`R=3/2(npi)/(2)`


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