The reciprocal and quotient identities are derived from the definitions of the basic trigonometric functions….Verifying the Fundamental Trigonometric Identities.

Table of Contents

## What are trigonometric identities give examples?

The reciprocal and quotient identities are derived from the definitions of the basic trigonometric functions….Verifying the Fundamental Trigonometric Identities.

Pythagorean Identities | ||
---|---|---|

sin 2 θ + cos 2 θ = 1 sin 2 θ + cos 2 θ = 1 | 1 + cot 2 θ = csc 2 θ 1 + cot 2 θ = csc 2 θ | 1 + tan 2 θ = sec 2 θ 1 + tan 2 θ = sec 2 θ |

### What are the all formulas of trigonometry?

Shifting angle by π/2, π, 3π/2 (Co-Function Identities or Periodicity Identities)

sin (π/2 + x) = cos x | cos (π/2 + x) = – sin x |

sin (3π/2 – x) = – cos x | cos (3π/2 – x) = – sin x |

sin (3π/2 + x) = – cos x | cos (3π/2 + x) = sin x |

sin (π – x) = sin x | cos (π – x) = – cos x |

sin (π + x) = – sin x | cos (π + x) = – cos x |

#### What are the basic identities?

The basic trig identities or fundamental trigonometric identities are actually those trigonometric functions which are true each time for variables….Basic Trig Identities.

Basic Trig Identities | |
---|---|

cot x = cos x/sin x | Equation 2 |

sec x = 1/cos x | Equation 3 |

csc x = 1/sin x | Equation 4 |

cot x = 1/tan x | Equation 5 |

**What are the 6 trig identities?**

The six trigonometric identities or the trigonometric functions are Sine, Cosine, Tangent, Secant, Cosecant and Cotangent. They are abbreviated as sin, cos, tan, sec, cosec and cot.

**What are the 6 reciprocal identities?**

The reciprocals of the six fundamental trigonometric functions (sine, cosine, tangent, secant, cosecant, cotangent) are called reciprocal identities. The reciprocal identities are important trigonometric identities that are used to solve various problems in trigonometry.

## How do you learn all trigonometric identities?

7 Easy Steps to Learn Trigonometry

- Study all the basics of trigonometric angles.
- Study right-angle triangle concepts.
- Pythagoras theorem.
- Sine rule and Cosine rule.
- List all the important identities of trigonometry.
- Remember the trigonometry table.
- Be thorough with the trigonometric formulas.