# Category:Sine Function

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

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

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

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

## Also see

## Subcategories

This category has the following 55 subcategories, out of 55 total.

### A

- Auxiliary Angles (3 P)

### C

- Cube of Sine (3 P)

### D

- Derivative of Sine Function (9 P)

### E

- Euler Formula for Sine Function (10 P)
- Euler's Sine Identity (9 P)

### H

- Half Angle Formula for Sine (4 P)

### L

- Laplace Transform of Sine (8 P)
- Law of Sines (7 P)

### P

- Primitive of Sine Function (3 P)

### Q

- Quintuple Angle Formula for Sine (10 P)

### S

- Sine Inequality (3 P)
- Sine minus Sine (6 P)
- Sine of 15 Degrees (3 P)
- Sine of 240 Degrees (3 P)
- Sine of 45 Degrees (6 P)
- Sine of 72 Degrees (empty)
- Sine of 75 Degrees (3 P)
- Sine of Complex Number (3 P)
- Sine of Difference (4 P)
- Sine of i (3 P)
- Sine of Sum (9 P)
- Sine plus Sine (8 P)

### Z

- Zeroes of Sine and Cosine (5 P)

## Pages in category "Sine Function"

The following 200 pages are in this category, out of 205 total.

(previous page) (next page)### B

### C

- Characterisation of Sine and Cosine
- Closed Topologist's Sine Curve is Connected
- Closed Topologist's Sine Curve is not Path-Connected
- Complex Sine Function is Entire
- Complex Sine Function is Unbounded
- Cosecant is Reciprocal of Sine
- Cosine in terms of Sine
- Cosine of Complement equals Sine
- 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 over Cosine of Complement plus Sine over Sine of Complement
- Cotangent is Cosine divided by Sine

### D

### E

### L

- Lagrange's Sine Identity
- Lagrange's Trigonometric Identities/Sine
- Lagrange's Trigonometric Identities/Sine/Sine Form
- Laplace Transform of Exponential times Sine
- Laplace Transform of Sine
- Laplace Transform of Sine of Root
- Laplace Transform of Sine of t over t
- Laplace Transform of Sine of t over t/Corollary
- Laplace Transform of t by Sine a t
- Law of Sines
- Length of Arch of Sine Function
- Limit of Sine of X over X at Zero
- Limit of Sine of X over X at Zero/Corollary

### M

### P

- Particular Values of Sine Function
- Period of Real Sine Function
- Power Reduction Formula for 4th Power of Sine
- Power Reduction Formula for Cube of Sine
- Power Reduction Formulas/Sine Cubed
- Power Reduction Formulas/Sine Squared
- Power Reduction Formulas/Sine to 4th
- Power Reduction Formulas/Sine to 5th
- Power Series Expansion for Exponential of Sine of x
- Power Series Expansion for Exponential of x by Sine of x
- Power Series Expansion for Logarithm of Sine of x
- Power Series Expansion for Sine Function
- Power Series of Sine of Odd Theta
- Primitive of Sine Function
- Product Formula for Sine
- Product Formula for Sine/Corollary
- Product of Sines of Fractions of Pi
- Properties of Real Sine Function
- Prosthaphaeresis Formulas/Sine minus Sine

### Q

### R

### S

- Scaled Sine Functions of Integer Multiples form Orthonormal Set
- Sextuple Angle Formulas/Sine
- Shape of Sine Function
- Shape of Sine Function/Graph
- Sign of Sine
- Simpson's Formula for Sine by Cosine
- Simpson's Formula for Sine by Sine
- Simpson's Formulas/Cosine by Sine
- Simpson's Formulas/Sine by Cosine
- Simpson's Formulas/Sine by Sine
- 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 Form of Lagrange's Sine Identity
- Sine Function is Absolutely Convergent
- Sine Function is Odd
- Sine in terms of Cosine
- Sine in terms of Hyperbolic Sine
- Sine in terms of Secant
- Sine in terms of Tangent
- Sine Inequality
- Sine is of Exponential Order Zero
- Sine is Reciprocal of Cosecant
- Sine minus Sine
- Sine of 1 Degree
- Sine of 105 Degrees
- Sine of 120 Degrees
- Sine of 135 Degrees
- Sine of 144 Degrees
- Sine of 15 Degrees
- Sine of 150 Degrees
- Sine of 165 Degrees
- Sine of 18 Degrees
- Sine of 195 Degrees
- Sine of 210 Degrees
- Sine of 22.5 Degrees
- Sine of 225 Degrees
- Sine of 240 Degrees
- Sine of 255 Degrees
- Sine of 285 Degrees
- Sine of 3 Degrees
- Sine of 30 Degrees
- Sine of 300 Degrees
- Sine of 315 Degrees
- Sine of 330 Degrees
- Sine of 345 Degrees
- Sine of 36 Degrees
- Sine of 45 Degrees
- Sine of 60 Degrees
- Sine of 72 Degrees
- Sine of 75 Degrees
- Sine of 90 Degrees
- Sine of Angle in Cartesian Plane
- Sine of Angle of Triangle by Semiperimeter
- Sine of Angle plus Full Angle
- Sine of Angle plus Full Angle/Corollary
- Sine of Angle plus Integer Multiple of Pi
- Sine of Angle plus Right Angle
- Sine of Angle plus Straight Angle
- Sine of Angle plus Three Right Angles
- Sine of Complement equals Cosine
- Sine of Complex Number
- Sine of Conjugate Angle
- Sine of Difference
- Sine of Full Angle
- Sine of Half Angle in Triangle
- Sine of Half-Integer Multiple of Pi
- Sine of i
- Sine of Integer Multiple of Argument
- Sine of Integer Multiple of Pi
- Sine of Right Angle
- Sine of Straight Angle
- Sine of Sum
- Sine of Sum of Three Angles
- Sine of Supplementary Angle
- Sine of Three Right Angles
- Sine of Three Right Angles less Angle
- Sine of Twice Angle minus Sum of Sines of Twice Other Two Angles of Triangle
- 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
- Sine of Zero is Zero
- Sine plus Sine
- Sine to Power of Even Integer
- Sine to Power of Odd Integer
- Solutions of sin x equals sin a
- Square of Sine
- Stirling's Formula/Proof 2/Lemma 4
- Sum from -m to m of Sine of n + alpha of theta over n + alpha
- Sum of Cubes of Sine and Cosine
- Sum of Fourth Powers of Sine and Cosine
- Sum of Infinite Series of Product of Power and Sine
- Sum of Reciprocals of One Plus and Minus Sine
- Sum of Series of Product of Power and Sine
- Sum of Sines of Angles in Triangle
- Sum of Sines of Arithmetic Sequence of Angles
- Sum of Sines of Arithmetic Sequence of Angles/Formulation 1
- Sum of Sines of Arithmetic Sequence of Angles/Formulation 2
- Sum of Sines of Fractions of Pi
- Sum of Sines of Twice Angles of Triangle
- Sum of Squares of Sine and Cosine
- Sum over Integers of Sine of n + alpha of theta over n + alpha
- Sum over k from 1 to n of n Choose k by Sine of n Theta