Trigonometry Formula PDF Download , Trigonometry Chart Sheet

Trigonometry Formula PDF Download , Trigonometry Chart Sheet

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सबसे पहले कुछ बातें जो याद रखनी हैं

1. किसी भी समकोण (Right angle) के लिये सूत्र (formula) – कर्ण2 = लम्ब2 + आधार2

2. अब याद रखिये LAL/KKA, (लाल/ कक्का) L- लम्ब, A- आधार, K- कर्ण

3. अब इनका क्रम sin θ , cos θ, tan θ, तथा cot θ, sec θ, cosec θ इनके ठीक उल्टे होते हैं

a. Sin θ= लम्ब / कर्ण, cosec θ = कर्ण / लम्ब

b. cos θ= आधार / कर्ण, sec θ= कर्ण / आधार

c. tan θ = लम्ब / आधार , cot θ = आधार/ लम्ब

4. आनुपातिक सम्बंध

1. sin θ.cosec θ = 1 , cosec θ = 1 / Sin θ ,
Sin θ = 1 / cosec θ

2. cos θ.sec θ = 1 , sec θ = 1/ cos θ,
cos θ = 1 / sec θ

3. tan θ.cot θ = 1, cot θ= 1 / tan θ ,
tan θ = 1 / cot θ

4. tan θ = sin θ / cos θ, sin θ= cosθ.tanθ,

5. cos θ = sinθ/ tanθ, cot θ = cos θ / sin θ

अब देखते हैं त्रिकोणमिति के सामान्य तौर पर पूछे जाने वाले Tricky सवाल

Tricky Questions of Trigonometry

Q1. sin1.sin2.sin3……………sin180 = 0

Q2. cos1.cos2.cos3 …………cos90 = 0

Q3. tan1.tan2.tan3………….tan89 = 1

Q4. cot1.cot2.cot3…………..cot89 = 1

यदि x+y = 90 हो तो

Q5. Sec2x- Cot2y = 1

Q6. Sin2x + Sin2y = 1

Q7. cosec2x- Tan2y =1

अब देखते हैं न्युनतम तथा महत्तम मान

Q8. A.Sin.X + B.Cos.Y
या
Q9. A.Sin.X + B.Sin.Y
या
Q10. A.Cos.X + B.Cos.Y

_________
का महत्तम मान- = / x2 + y2 _________
तथा न्यूनतम मान = – / x2 + y2Q11. Sin a. sin2a .sin4a =1/4. sin3aQ12. Cos a. cos2a. cos4a= 1/4 Cos3aQ13. tan a. tan2a. tan4a = tan3aQ14. यदि Sin x + cos y = z है
_______
तो Sin x – Cos y = / 2- z2

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