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Trigonometry important formulae, Exams of Trigonometry

Damodaram Sanjivayya National Law UniversityTrigonometry

Trigonometry important formulae

Typology: Exams

2017/2018

Uploaded on 01/18/2018

pawan-garg
pawan-garg 🇮🇳

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Download Trigonometry important formulae and more Exams Trigonometry in PDF only on Docsity!

TRIGONOMETRY me = 180° = 2008 = right angles 1. Range of T-Ratios: i (i) -lssin@é <1 & -lscos@1 & secO<-1. i Hing. (iv) tan @may assume any valuc. : tte 2. Sum & Difference Formula (i) sin (x + y) = sin x cos y + cos x sin y. Pe (ii) sin (x - y) = sin x cos y- cos x sin y. (ii) cos (x+y) =cosxcosy-sinx siny. | (iv) cos (x- y) = cos x cosy + sin x sin y. (v) 2sin xcos y= sin (x + y) + sin (x-y) (vi) 2 cos x sin y = sin (x + y) - sine(x — y). (vii) 2 cos x cos y = cos (x + y) + cos (x #y) (viii) 2 sin x sin y = cos : — y) -— cos (% + y) (ix) Sin? x - sin? y = sin (x + ‘y) sin (x — y). (x) Cos? x - sin? y = cos (x >y)- Cos (x - y) 3. Some more formula: C-D (i) SinC+sinD= 2 sin (22)cos (e ) (ii) SinC-sinD= 2cos (= sin (= =0) (iii) cosC+cosD= 2cos (=) cos (= —*) (iv) cos C-cosD= - 2sin (2 )sin (= ”\ 4. Tangent Formulae: lanx+tany tanx-wny (i) tan (x + y) = (ii) tan (x - y) = ‘ 1- tanxtany 1+ tanxtany 5. _T-Ratios of Multiple angles: (i) sin 2x = 2 sin x cos x (ii) cos 2x = cos? x- sin? x = 2 cos? x-1 = 1-2 sin? x (iii) 1+ cos 2x =2cos?x & 1-cos 2x = 2 sin?x. (iv) Sin 3x = 3sin x -4 sin? x (v) Cos 3x = 4 cos? x—3 cos x ( Ztaux vi) tan 2x = ay (vii) tan 3x = “tan? os (viii) cos 2x = Ee (ix) six 2x =