त्रिकोणमिति के सभी सूत्र – Trigonometry Formulas for class 10

त्रिकोणमिति के सभी सूत्र जो कि trigonometry formulas for class 10 के त्रिकोणमिति के सवालों को हल करने के लिए उत्तम है, को डाउनलोड कर सकते है –

त्रिकोणमिति के सभी सूत्र :- 

1. sinθ = लंभ/कर्ण
2. cosθ = आधार/कर्ण 
3. tanθ = लंभ/कर्ण 
4. secθ = 1/cosθ
5. cosecθ = 1/sinθ
6. cotθ = 1/tanθ
7. tanθ = sinθ/cosθ
8. cotθ = cosθ/sinθ
9. sin²A + cos²A = 1
10. sec²A–tan²A = 1
11. cosec²A – cot²A= 1
12. sin2A = 2sinA.cosA = \frac{2sinA}{1+\def\foo{tan^2} \foo A}  
13. cos2A = cos²A– sin²A = 2cos²A– 1 = 1– 2sin²A = \frac{1-\def\foo{tan^2} \foo A}{1+\def\foo{tan^2} \foo A}  
14. tan2A = \frac{2tanA}{1-\def\foo{tan^2} \foo A}  
15. sin3A = 3sinA- 4sin³A
16. cos3A = 4cos³A- 3cosA
17. sin(A + B) = sinAcosB + cosAsinB
18. sin(A – B) = sinAcosB – cosAsinB
19. cos(A + B) = cosAcosB – sinAsinB
20. cos(A – B) = cosAcosB + sinAsinB
21. tan(A + B) = \frac{tanA + tanB}{1- tanAtanB}   
22. tan(A – B) = \frac{tanA - tanB}{1+ tanAtanB}   
23. tan (45 + A) = \frac{1+ tanA}{1- tanA}   
24. tan (45 – A) = \frac{1- tanA}{1+ tanA}   

Angles	0°	30°	45°	60°	90°
Sin θ	0	1/2	1/√2	√3/2	1
Cos θ	1	√3/2	1/√2	1 / 2	0
Tan θ	0	1/√3	1	√3	∞
Cosec θ	∞	2	√2	2/√3	1
Sec θ	1	2/√3	√2	2	∞
Cot θ	∞	√3	1	1/√3	0

Trigonometry Formulas for class 10 –

Value of function for (-θ)	Value of function for (90-θ)
Sin (-θ) = – Sin θ Cos (-θ) =  Cos θ Tan (-θ) = – Tan θ Cosec (-θ) = – Cosec θ Sec (-θ) = Sec θ Cot (-θ) = Cot θ	Sin (90-θ) = Cos θ Cos (90-θ) =  Sin θ Tan (90-θ) = Cot θ Cosec (90-θ) = Sec θ Sec (90-θ) = Cosec θ Cot (90-θ) = Tan θ

Value of function for (180-θ)	Value of function for (180+θ)
Sin (180-θ) = Sin θ Cos (180-θ) =  -Cos θ Tan (180-θ) = -Tan θ Cosec (180-θ) = Cosec θ Sec (180-θ) = -Sec θ Cot (180-θ) = -Cot θ	Sin (180+θ) = -Sin θ Cos (180-θ) =  -Cos θ Tan (180-θ) = Tan θ Cosec (180-θ) = -Cosec θ Sec (180-θ) = -Sec θ Cot (180-θ) = Cot θ

Value of function for (270-θ)	Value of function for (270+θ)
Sin (270-θ) = -Cos θ Cos (270-θ) =  – Sin θ Tan (270-θ) = Cot θ Cosec (270-θ) = -Sec θ Sec (270-θ) = – Cosec θ Cot (270-θ) = Tan θ	Sin (270+θ) = -Cos θ Cos (270+θ) = Sin θ Tan (270+θ) = -Cot θ Cosec (270+θ) = -Sec θ Sec (270+θ) = Cosec θ Cot (270+θ) = -Tan θ

Value of function for (360-θ)

Sin (360-θ) = – Sin θ Cos (360-θ) = Cos θ Tan (360-θ) = -Tan θ Cosec (360-θ) = -Cosec θ Sec (360-θ) = Sec θ Cot (360-θ) = -Cot θ

त्रिकोणमिति के सभी सूत्र पीडीएफ़ (Trigonometry Formulas for class 10) डाउनलोड करें –