Find the cofunction of:
sec(18)
Show Related Cofunctions:
| Trig Function | Cofunction |
|---|---|
| sin | cos |
| cos | sin |
| tan | cot |
| csc | sec |
| sec | csc |
| cot | tan |
Cofunction Definition:
Trig measure for:
Angle complement: 90 - θ
Setup cofunction for sec(θ)
sec(θ) = csc(90° - θ)
Plug in θ = 18
sec(18) = csc(90° - 18)
sec(18) = csc(72)
Final Answer
sec(18) = csc(72)
Test Your Knowledge?
- What is the cofunction pair of sin?
- cofunction of tan(30) = cot(θ). Find θ
What is the Answer?
sec(18) = csc(72)
How does the Cofunction Calculator work?
Free Cofunction Calculator - Calculates the cofunction of the 6 trig functions:
* sin
* cos
* tan
* csc
* sec
* cot
This calculator has 1 input.
* cos
* tan
* csc
* sec
* cot
This calculator has 1 input.
What 7 formulas are used for the Cofunction Calculator?
sin(θ) = cos(90 - θ)
cos(θ) = sin(90 - θ)
tan(θ) = cot(90 - θ)
csc(θ) = sec(90 - θ)
sec(θ) = csc(90 - θ)
cot(θ) = tan(90 - θ)
cos(θ) = sin(90 - θ)
tan(θ) = cot(90 - θ)
csc(θ) = sec(90 - θ)
sec(θ) = csc(90 - θ)
cot(θ) = tan(90 - θ)
What 11 concepts are covered in the Cofunction Calculator?
- angle
- the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.
- cofunction
- trigonometric identities that show the relationship between trigonometric ratios pairwise (sine and cosine, tangent and cotangent, secant and cosecant).
- 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)
- gradian
- defined as one hundredth of the right angle. This is equal to π/200 or 9/10°
- measurement
- the size, length, or amount of something, as established by measuring.
- radian
- a unit of plane angular measurement that is equal to the angle at the center of a circle subtended by an arc whose length equals the radius or approximately 180°/π ~ 57.3 degrees.
- 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.
