Trigonometrical ratios of associated and compound angles
01. (i) sin (A+B) = sinA cosB + cosA sinB(ii) sin (A-B) = sinA cosB - cosA sinB
02. (i) cos (A+B) = cosA cosB - sinA sinB
(ii) cos (A-B) = cosA cosB + sinA sinB
03. (i) tan (A+B) = (tanA + tanB) / (1 - tanA tanB)
(ii) tan (A-B) = (tanA - tanB) / (1 + tanA tanB)
04. (i) cot (A+B) = (cotA cotB - 1) / (cotB + cotA)
(ii) cot (A-B) = (cotA cotB + 1) / (cotB - cotA)
05. 2 sinA cosB = sin (A+B) + sin (A-B)
06. 2 cosA sinB = sin (A+B) - sin (A-B)
07. 2 sinA sinB = cos (A-B) - cos (A+B)
08. 2 cosA cosB = cos (A+B) + cos (A-B)
09. sinC + sinD = 2 sin(C+D)/2 cos (C-D)/2
09. sinC - sinD = 2 cos(C+D)/2 sin (C-D)/2
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