 # Trigonometry Relations Calculator

## Enter what you know below:

<-- sin
<-- cos
<-- tan
<-- csc
<-- sec
<-- tan

Given sin = .89, tan = 1.98:
Calculate other trig values

## Calculate csc(x) given sin(x):

 csc(x)  = 1 sin(x)

 csc(x)  = 1 0.89

csc(x) = 1.123595505618

## Calculate cot(x) given tan(x):

 cot(x)  = 1 tan(x)

 cot(x)  = 1 1.98

cot(x) = 0.50505050505051

## Calculate cos(x)

 tan(x)  = sin(x) cos(x)

## Cross multiplying, we get:

tan(x) x cos(x) = sin(x)

## Divide each side by tan(x):

 tan(x) x cos(x) tan(x)
 =
 sin(x) tan(x)

 cos(x)  = 0.89 1.98

cos(x) = 0.44949494949495

## Calculate sec(x) given cos(x):

 sec(x)  = 1 cos(x)

 sec(x)  = 1 0.449495

sec(x) = 2.2247191011236

## Total Summary:

sin(x) = .89
cos(x) = 0.44949494949495
tan(x) = 1.98
csc(x) = 1.123595505618
sec(x) = 2.2247191011236
cot(x) = 0.50505050505051

sin(x) = .89
cos(x) = 0.44949494949495
tan(x) = 1.98
csc(x) = 1.123595505618
sec(x) = 2.2247191011236
cot(x) = 0.50505050505051

### How does the Trigonometry Relations Calculator work?

Calculates various trigonometry measurements (sin,cos,tan,csc,sec,cot) given other measurements that you enter.
This calculator has 6 inputs.

### What 6 formulas are used for the Trigonometry Relations Calculator?

1. sin(θ) = Opposite/Hypotenuse
4. csc(θ) = 1/sin(θ)
5. sec(θ) = 1/cos(θ)
6. cot(θ) = 1/tan(θ)

For more math formulas, check out our Formula Dossier

### What 8 concepts are covered in the Trigonometry Relations Calculator?

angle
the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.
cos
cos(θ) is the ratio of the adjacent side of angle θ to the hypotenuse
cot
The length of the adjacent side divided by the length of the side opposite the angle. Also equals 1/tan(θ)
csc
the length of the hypotenuse divided by the length of the adjacent side. Also equals 1/sin(θ)
sec
the length of the hypotenuse divided by the length of the adjacent side. Also equals 1/cos(θ)
sin
sin(θ) is the ratio of the opposite side of angle θ to the hypotenuse
tan
the ratio of the opposite side to the adjacent side of a particular angle of the right triangle.
trigonometry relations