Senior Class Formulae
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MATHEMATICAL VIDYAMANDIR -experience the excellence- TRIGONOMETRIC FORMULAE Compiled by: OP GUPTA Elect.& Comm . Engg .; B.Sc.Ma ths(H)- Part II INDIRA AWARD WINNER . : ontact No 91 9650 350 480 e-id: [email protected] Basic Trigonometric Relations 1.a) 2 2 sin cos 1 b) 2 2 1 tan sec c) 2 2 1 cot cosec 2.a) sin sin b) cos cos c) tan tan 3.a) sin tan cos b) 1 tan cot c) cos cot sin 1 cosec sin e) 1 sec cos 4.a) sin sin cos cos sin A B A B A B b) sin sin cos cos sin A B A B A B c) cos cos cos sin sin A B A B A B d) cos cos cos sin sin A B A B A B 5.a) tan tan tan 1 tan tan A B A B A B b) cot cot 1 cot cot cot B A A B B A 6.a) sin2 2sin cos A A A b) 2 2 cos2 cos sin A A A c) 2 cos 2 2 cos 1 A A d) 2 2 cos 1 cos2 A A e) 2 cos2 1 2sin A A f) 2 2sin 1 cos2 A A g) 2 2tan sin2 1 tan A A A h) 2 2 1 tan cos2 1 tan A A A i) 2 2tan tan2 1 tan A A A 7.a) 3 sin3 3sin 4 sin A A A b) 3 cos 3 4 cos 3 cos A A A c) 3 2 3t an tan tan3 1 3tan A A A A 8.a) sin sin 2sin cos 2 2 A B A B A B b) sin sin 2 cos sin 2 2 A B A B A B c) cos cos 2 cos cos 2 2 A B A B A B d) cos cos 2sin sin 2 2 A B A B A B 9.a) sin sin 2sin cos A B A B A B b) 2 sin sin cos si n A B A B A B c) cos cos 2co s cos A B A B A B d) cos cos 2si n sin A B A B A B Relations in Different Measures of Angle Angle in Radia n Measu re = Angle in Degre e Measu re × 180 o 1Righ t ang le 90 o 1 =60, 1 =60 ( ) l in radian measure r o 1 = = 0. 01745 rad ians app rox ima tely 180 206265 o 1 rad ian= 57 17 45 or seconds
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