# Category:Cosine Function

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This category contains results about **the cosine function**.

Definitions specific to this category can be found in Definitions/Cosine Function.

In the above right triangle, we are concerned about the angle $\theta$.

The **cosine** of $\angle \theta$ is defined as being $\dfrac {\text{Adjacent}} {\text{Hypotenuse}}$.

## Also see

## Subcategories

This category has the following 59 subcategories, out of 59 total.

### A

- Auxiliary Angles (3 P)

### C

- Cosine Function is Even (3 P)
- Cosine minus Cosine (6 P)
- Cosine of 15 Degrees (3 P)
- Cosine of 36 Degrees (4 P)
- Cosine of 72 Degrees (3 P)
- Cosine of Complex Number (3 P)
- Cosine of Difference (4 P)
- Cosine of i (3 P)
- Cosine of Sum (9 P)
- Cosine plus Cosine (5 P)

### D

### E

- Euler's Cosine Identity (10 P)
- Examples of Cosine Function (2 P)

### H

### L

- Laplace Transform of Cosine (5 P)
- Law of Cosines (12 P)

### P

- Primitive of Cosine Function (3 P)

### Q

### R

### S

### Z

- Zeroes of Sine and Cosine (5 P)

## Pages in category "Cosine Function"

The following 186 pages are in this category, out of 186 total.

### C

- Characterisation of Sine and Cosine
- Complex Cosine Function is Entire
- Complex Cosine Function is Unbounded
- Cosine Function is Absolutely Convergent
- Cosine Function is Absolutely Convergent/Complex Case/Proof 1
- Cosine Function is Absolutely Convergent/Complex Case/Proof 2
- Cosine Function is Continuous
- Cosine Function is Even
- Cosine in terms of Cotangent
- Cosine in Terms of Haversine
- Cosine in terms of Hyperbolic Cosine
- Cosine in terms of Sine
- Cosine in terms of Tangent
- Cosine Inequality
- Cosine is of Exponential Order Zero
- Cosine is Reciprocal of Secant
- Cosine minus Cosine
- Cosine of 105 Degrees
- Cosine of 120 Degrees
- Cosine of 135 Degrees
- Cosine of 144 Degrees
- Cosine of 15 Degrees
- Cosine of 150 Degrees
- Cosine of 165 Degrees
- Cosine of 18 Degrees
- Cosine of 195 Degrees
- Cosine of 2 is Strictly Negative
- Cosine of 210 Degrees
- Cosine of 22.5 Degrees
- Cosine of 225 Degrees
- Cosine of 240 Degrees
- Cosine of 255 Degrees
- Cosine of 285 Degrees
- Cosine of 3 Degrees
- Cosine of 30 Degrees
- Cosine of 300 Degrees
- Cosine of 315 Degrees
- Cosine of 330 Degrees
- Cosine of 345 Degrees
- Cosine of 36 Degrees
- Cosine of 45 Degrees
- Cosine of 60 Degrees
- Cosine of 72 Degrees
- Cosine of 75 Degrees
- Cosine of 90 Degrees
- Cosine of Angle in Cartesian Plane
- Cosine of Angle plus Full Angle
- Cosine of Angle plus Full Angle/Corollary
- Cosine of Angle plus Integer Multiple of Pi
- Cosine of Angle plus Right Angle
- Cosine of Angle plus Straight Angle
- Cosine of Angle plus Three Right Angles
- Cosine of Complement equals Sine
- Cosine of Complex Number
- Cosine of Conjugate Angle
- Cosine of Difference
- Cosine of Full Angle
- Cosine of Half Angle in Triangle
- Cosine of Half-Integer Multiple of Pi
- Cosine of i
- Cosine of Integer Multiple of Argument
- Cosine of Integer Multiple of Pi
- Cosine of Right Angle
- Cosine of Straight Angle
- Cosine of Sum
- Cosine of Sum of Three Angles
- Cosine of Supplementary Angle
- Cosine of Three Right Angles
- Cosine of Three Right Angles less Angle
- Cosine of x minus Sine of x
- Cosine of x minus Sine of x/Cosine Form
- Cosine of x minus Sine of x/Sine Form
- Cosine of Zero is One
- Cosine over Cosine of Complement plus Sine over Sine of Complement
- Cosine plus Cosine
- Cosine to Power of Even Integer
- Cosine to Power of Odd Integer
- Cotangent is Cosine divided by Sine

### D

### E

- Equivalence of Definitions of Cosine of Angle
- Equivalence of Definitions of Sine and Cosine
- Euler Formula for Cosine Function
- Euler's Cosine Identity
- Euler's Cosine Identity/Real Domain
- Euler's Formula
- Euler's Identities
- Even Impulse Pair is Fourier Transform of Cosine Function
- Even Multiple Angle Formula for Cosine

### L

- Lagrange's Trigonometric Identities/Cosine
- Laplace Transform of Cosine
- Laplace Transform of Cosine of Root over Root
- Laplace Transform of Exponential times Cosine
- Laplace Transform of t^2 by Cosine a t
- Law of Cosines
- Length of Side of Triangle as Cosines of Angles
- Limit of (Cosine (X) - 1) over X at Zero

### M

### P

- Particular Values of Cosine Function
- Period of Real Cosine Function
- Power Reduction Formula for 4th Power of Cosine
- Power Reduction Formula for Cube of Cosine
- Power Reduction Formulas/Cosine Cubed
- Power Reduction Formulas/Cosine Squared
- Power Reduction Formulas/Cosine Squared/Proof 1
- Power Reduction Formulas/Cosine Squared/Proof 2
- Power Reduction Formulas/Cosine to 4th
- Power Reduction Formulas/Cosine to 5th
- Power Series Expansion for Cosine Function
- Power Series Expansion for Exponential of Cosine of x
- Power Series Expansion for Exponential of x by Cosine of x
- Power Series Expansion for Logarithm of Cosine of x
- Primitive of Cosine Function
- Properties of Real Cosine Function
- Prosthaphaeresis Formulas/Cosine minus Cosine
- Prosthaphaeresis Formulas/Cosine plus Cosine

### Q

### R

### S

- Secant is Reciprocal of Cosine
- Sextuple Angle Formulas/Cosine
- Shape of Cosine Function
- Shape of Cosine Function/Graph
- Sign of Cosine
- Simpson's Formula for Cosine by Cosine
- Simpson's Formula for Sine by Cosine
- Simpson's Formulas/Cosine by Cosine
- Simpson's Formulas/Cosine by Sine
- Simpson's Formulas/Sine by Cosine
- Sine and Cosine are Periodic on Reals
- Sine and Cosine of Angle plus Integer Multiple of Pi
- Sine and Cosine of Complementary Angles
- Sine and Cosine of Conjugate Angles
- Sine and Cosine of Supplementary Angles
- Sine in terms of Cosine
- Sine of Complement equals Cosine
- Sine of x minus Cosine of x
- Sine of x minus Cosine of x/Cosine Form
- Sine of x minus Cosine of x/Sine Form
- Sine of x plus Cosine of x
- Sine of x plus Cosine of x/Cosine Form
- Sine of x plus Cosine of x/Sine Form
- Solutions of cos x equals cos a
- Square of Cosine
- Sum from -m to m of 1 minus Cosine of n + alpha of theta over n + alpha
- Sum of Cosines of Angles in Triangle
- Sum of Cosines of Arithmetic Sequence of Angles
- Sum of Cosines of Arithmetic Sequence of Angles/Formulation 1
- Sum of Cosines of Arithmetic Sequence of Angles/Formulation 2
- Sum of Cosines of Four Times Angles of Triangle
- Sum of Cosines of Fractions of Pi
- Sum of Cosines of Twice 2 Angles minus Cosine of Twice Third Angle of Triangle
- Sum of Cosines of Twice Angles of Triangle
- Sum of Cubes of Sine and Cosine
- Sum of Fourth Powers of Sine and Cosine
- Sum of Infinite Series of Product of nth Power of cos 2 theta by 2n+1th Multiple of Sine
- Sum of Infinite Series of Product of nth Power of Cosine by nth Multiple of Cosine
- Sum of Infinite Series of Product of Power and Cosine
- Sum of Series of Product of Power and Cosine
- Sum of Sides of Triangle in terms of Circumradius and Half Angle Cosines
- Sum of Squares of Sine and Cosine
- Sum over Integers of Cosine of n + alpha of theta over n + alpha