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 […]

Assignment trigonometry

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