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Solve the following equations: (i) sin 5x-sin x=cos 3x (ii) 2 cos^(2) theta+3 sin theta-3=theta (iii) cos theta+cos 3 theta=2 cos 2 theta (iv) sin theta+sin 3 theta+sin 5 theta=0 (v) sin 2 theta-cos 2theta-sin theta+cos theta=0 (vi) sin theta+cos theta=sqrt3 (vii) sin theta+sqrt3 cos theta=1 (viii) cot theta+" cosec "theta=sqrt3 (ix) tan theta+tan (theta +pi/3) +tan (theta+(2pi)/(3))=sqrt3 (x) cos 2theta=(sqrt5+1)/(4) (xi) 2 cos^(2) x -7 cos x+3=0 |
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Answer» (vi) `pi/4(8n+1), n in Z` (vii) `2npi+pi//6 pm pi//3, n in Z` (viii) `2npi pm (2pi)/(3)-pi/3, n in Z` (IX) `sqrt3` (x) `npi pm pi/10, n in Z` (xi) `2npi pm pi//3, n in Z` |
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