त्रिकोणमिति सूत्र
समकोण त्रिभुज का नियम(Right Angle tringle's Rule):-
-
(कर्ण)2=(लम्ब)2+(आधार)2
-
(लम्ब)2=(कर्ण)2-(आधार)2
- (आधार)2=(कर्ण)2-(लम्ब)2
(कर्ण)2=(लम्ब)2+(आधार)2
(लम्ब)2=(कर्ण)2-(आधार)2
त्रिकोणमिति अनुपात(Trigonometric Ratio):-
- sinθ= लम्ब /कर्ण
- cosθ= आधार /कर्ण
- tanθ= लम्ब /आधार
- cotθ= आधार /लम्ब
- secθ= कर्ण /आधार
- cosecθ= कर्ण /लम्ब
- sinθ= लम्ब /कर्ण
- cosθ= आधार /कर्ण
- tanθ= लम्ब /आधार
- cotθ= आधार /लम्ब
- secθ= कर्ण /आधार
- cosecθ= कर्ण /लम्ब
नोट:- आप इस TRICK के द्वारा भी इसे याद रख सकते हैं।
त्रिकोणमिति सम्बन्ध(Trigonometric Relation):-
- sinθ.cosecθ=1
- cosθ.secθ=1
- tanθ.cotθ=1
- tanθ=sinθ/cosθ
त्रिकोणमिति सारणी(Trigonometric Chart):-
कुछ महत्वपूर्ण सूत्र (Some Important Formulas):-
- Sin2θ +cos2θ=1
-
1+tan2θ=sec2θ
-
1+cot2θ=cosec2θ
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sin(A+B)=sinA.cosB+cosA.sinB
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sin(A-B)=sinA.cosB-cosA.sinB
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cos(A+B)=cosA.cosB-sinA.sinB
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cos(A-B)=cosA.cosB+sinA.sinB
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tan(A+B)=(tanA+tanB)/(1-tanA.tanB)
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tan(A-B)=(tanA-tanB)/(1+tanA.tanB)
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sin2A=2sinA.cosA
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cos2A=cos2A-sin2A=2cos2A-1=1-2sin2A
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tan2A=2tanA/(1-tan2A)
1+tan2θ=sec2θ
1+cot2θ=cosec2θ
sin(A+B)=sinA.cosB+cosA.sinB
sin(A-B)=sinA.cosB-cosA.sinB
cos(A+B)=cosA.cosB-sinA.sinB
cos(A-B)=cosA.cosB+sinA.sinB
tan(A+B)=(tanA+tanB)/(1-tanA.tanB)
tan(A-B)=(tanA-tanB)/(1+tanA.tanB)
sin2A=2sinA.cosA
cos2A=cos2A-sin2A=2cos2A-1=1-2sin2A
tan2A=2tanA/(1-tan2A)
अति सुन्दर
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