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 :-
- sinθ = लंभ/कर्ण
- cosθ = आधार/कर्ण
- tanθ = लंभ/कर्ण
- secθ = 1/cosθ
- cosecθ = 1/sinθ
- cotθ = 1/tanθ
- tanθ = sinθ/cosθ
- cotθ = cosθ/sinθ
- sin2A + cos2A = 1
- sec2A–tan2A = 1
- cosec2A – cot2A= 1
- sin2A = 2sinA.cosA = \frac{2sinA}{1+\def\foo{tan^2} \foo A}
- cos2A = cos2A– sin2A = 2cos2A– 1 = 1– 2sin2A = \frac{1-\def\foo{tan^2} \foo A}{1+\def\foo{tan^2} \foo A}
- tan2A = \frac{2tanA}{1-\def\foo{tan^2} \foo A}
- sin3A = 3sinA- 4sin3A
- cos3A = 4cos3A- 3cosA
- sin(A + B) = sinAcosB + cosAsinB
- sin(A – B) = sinAcosB – cosAsinB
- cos(A + B) = cosAcosB – sinAsinB
- cos(A – B) = cosAcosB + sinAsinB
- tan(A + B) = \frac{tanA + tanB}{1- tanAtanB}
- tan(A – B) = \frac{tanA - tanB}{1+ tanAtanB}
- tan (45 + A) = \frac{1+ tanA}{1- tanA}
- 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 –