Properties of Trigonometric functions

• Trigonometric functions are ratios of the sides of a right triangle and are used to solve problems involving angles and distances.
• The six trigonometric functions are sine, cosine, tangent, cosecant, secant, and cotangent.
• Trigonometric functions are periodic, with a period of 360 degrees or 2π radians.
• Trigonometric functions have certain symmetries, such as sine being an odd function and cosine being an even function.
• Trigonometric functions have a number of identities that relate them to one another, such as the Pythagorean identity and the sum and difference formulas.

Important Formulas to Remember in these Properties of Trigonometric functions

---

• $\sin(-x)=-\sin(x)$
• $\cos(-x)=\cos(x)$
• $\sin(x\pm y)=\sin(x)\cos(y)\pm\cos(x)\sin(y)$
• $\cos(x\pm y)=\cos(x)\cos(y)\mp\sin(x)\sin(y)$
• $\tan(x\pm y)=\frac{\tan(x)\pm\tan(y)}{1\mp\tan(x)\tan(y)}$