Trigonometry Value Chart, Ratios, Formulas and Values
Trigonometric ratios of ratios like sine, cosine, tangent, cotangent, secant, and cosecant are beneficial in solving and dealing with the length and angles of a right-angled triangle. Some typical values of trigonometric functions that help us in solving the trigonometric problems are 0°, 30°, 45°, 60°, and 90°.
Trigonometric ratios
The three major ratios are sin, cos and tan.
- Sin θ . Cosec θ =1
- Cos θ . Sec θ =1
- Tan θ . Cot θ =1
Trigonometric values
Angle (in degree)
|
0°
|
30°
|
45°
|
60°
|
90°
|
Angle (in radian)
|
0
|
π /6
|
π /4
|
π /3
|
π /2
|
Sin θ
|
0
|
½
|
1/√2
|
√3/2
|
1
|
Cos θ
|
1
|
√3/2
|
1/√2
|
½
|
0
|
Tan θ
|
0
|
1/√3
|
1
|
√3
|
∞
|
Cot θ
|
∞
|
√3
|
1
|
1/√3
|
0
|
Sec θ
|
1
|
2/√3
|
√2
|
2
|
∞
|
Cosec θ
|
∞
|
2
|
√2
|
2/√3
|
1
|
Trigonometric formulas
- Tan θ = sin θ/cos θ
- Cot θ = cos θ/sin θ
- Sin θ = tan θ/cos θ
- Cos θ = sin θ/tan θ
- Sec θ = tan θ/sin θ
- Cosec θ = cos θ/tan θ
- sin (90°- θ) = cos θ
- cos (90°- θ) = sin θ
- tan (90°- θ) = cot θ
- cot (90°- θ) = tan θ
- sec (90°- θ) = cosec θ
- cosec (90°- θ) = sec θ
- sin (90°+ θ) = cos θ
- cos (90°+ θ) = -sin θ
- tan (90°+ θ) = -cot θ
- cot (90°+ θ) = -tan θ
- sec (90°+ θ) = -cosec θ
- cosec (90°+ θ) = sec θ
- sin (180°- θ) = sin θ
- cos (180°- θ) = -cos θ
- tan (180°- θ) = -tan θ
- cot (180°- θ) = -cot θ
- sec (180°- θ) = -sec θ
- cosec (180°- θ) = cosec θ
- sin (180°+ θ) = -sin θ
- cos (180°+ θ) = -cos θ
- tan (180°+ θ) = tan θ
- cot (180°+ θ) = cot θ
- sec (180°+ θ) = -sec θ
- cosec (180°+ θ) = -cosec θ
- sin (270°- θ) = -cos θ
- cos (270°- θ) = -sin θ
- tan (270° - θ) = cot θ
- cot (270° - θ) = tan θ
- sec (270° - θ) = - cos θ
- cosec (270° - θ) = - sec θ
- sin (270°+ θ) = -cos θ
- cos (270°+ θ) = sin θ
- tan (270° + θ) = - cot θ
- cot (270° + θ) = - tan θ
- sec (270° + θ) = cosec θ
- cosec (270° + θ) = - sec θ
- sin (360°- θ) = -sin θ
- cos (360°- θ) = cos θ
- tan (360°- θ) = -tan θ
- cot (360°- θ) = -cot θ
- sec (360°- θ) = sec θ
- cosec (360°- θ) = -cosec θ
- sin (360°+ θ) = sin θ
- cos (360°+ θ) = cos θ
- tan (360°+ θ) = -tan θ
- cot (360°+ θ) = -cot θ
- sec (360°+ θ) = sec θ
- cosec (360°+ θ) = -cosec θ