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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 |
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Answer» (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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