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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
  .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)  =  .89
  1.98

cos(x) = 0.44949494949495

Calculate sec(x) given cos(x):

sec(x)  =  1
  cos(x)

sec(x)  =  1
  0.44949494949495

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




What is the Answer?

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
  2. cos(θ) = Adjacent/Hypotenuse
  3. tan(θ) = Opposite/Adjacent
  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

Example calculations for the Trigonometry Relations Calculator

  1. tan x= 1.98 and sin x = .89, what is cos x

Trigonometry Relations Calculator Video


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