Assignment trigonometry classXth
Prove that
(1)(1-cosA)(1+cosA)(1tcot’A)=1
(2) 1f tanA tcotA=2 then find the value of tan’ A +eot’A
(3) If tanA = 12 then find the value of1-sinA
5 1+sinA
(4) If cosecA – 12 then find the value of 2sinA3cosA
(5) If V3 tanA=3sinA then find the value of sin’A-cosA 4sinA-9cosA
(6) If tanA then find the value of msinA+ncosA
(7) If secA = x + 4x then prove that secA + tanA = 2x or msinA-ncosA –
(8) sin’A + cosA = 1-2sin’Acos²A 2x
(9) sin’ A – cosA = sin’A – cos’A
(10) secA = tan A + 3tan’Asec’A + 1
(11) sin°A + cos”A =1-3sin’Acos²A
.
(12) 1+cos 1-cose
V1-cos01+cose 2cosece
(13) cos’0 sin 0
1-tane sino-cose 1+ sin0. cos0
(14) m and osa =n show that (m² +n’)cos?ß = n²
cosf sint
(15) If tanA = ntanB, sinA = nsinB prove that cosA =
(16) sine sino cot0+cosece 2+
(17) cot0-cosece (cosec0-sin0) (seco- cos0) (tano + cote) =1
(18) (1+ cot0 + tan0) (sin0- cos0) sece COseca
(19) cosec’0 + sec’0 = cosec’0. sec’ cosec²0 sec’e
(20) Vsec’0 + cosec0 = tan0 + cot0
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