Trigonometry Relations Calculator

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Enter what you know below:

Given sin = 0.89, 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
	0.44949494949495

sec(x) = 2.2247191011236

Total Summary:

sin(x) = 0.89
cos(x) = 0.44949494949495
tan(x) = 1.98
csc(x) = 1.123595505618
sec(x) = 2.2247191011236
cot(x) = 0.50505050505051

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What is the Answer?

sin(x) = 0.89
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?

Free Trigonometry Relations Calculator - 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?

sin(θ) = Opposite/Hypotenuse
cos(θ) = Adjacent/Hypotenuse
tan(θ) = Opposite/Adjacent
csc(θ) = 1/sin(θ)
sec(θ) = 1/cos(θ)
cot(θ) = 1/tan(θ)

For more math formulas, check out our Formula Dossier

What 8 concepts are covered in the Trigonometry Relations Calculator?

anglethe figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle. coscos(θ) is the ratio of the adjacent side of angle θ to the hypotenusecotThe length of the adjacent side divided by the length of the side opposite the angle. Also equals 1/tan(θ)cscthe length of the hypotenuse divided by the length of the adjacent side. Also equals 1/sin(θ)secthe length of the hypotenuse divided by the length of the adjacent side. Also equals 1/cos(θ)sinsin(θ) is the ratio of the opposite side of angle θ to the hypotenusetanthe 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