# Online Trigonometry Tutoring : Trigonometric Functions

**Simplify trigonometry. **Our expert and qualified** **trigonometry tutors understand your problems and guide you towards better grades in trigonometry. Our aim is to help the student understand concepts in trigonometry and master the techniques of solving problems quickly with confidence.

## Learn about trigonometric ratios from certified online trigonometry tutor

**✓ **Trigonometric Ratios or Functions are special measurements of a **right triangle**

**✓ **The three basic trigonometric ratios are **sine, cosine and tangent**

**✓ In a right angled triangle we can define all the trigonometric ratios.**

### Definitions of Trigonometric Ratios

**Sine****is**defined as the ratio of the side opposite to that angle to the hypotenuse.**Cosine****is**defined as the ratio of the side adjacent to that angle to the hypotenuse.**Tangent****is**defined as the ratio of the side opposite to that angle to the side adjacent to that angle.**Cosecant**is the multiplicative inverse of sine.**Secant**is the multiplicative inverse of cosine.**Cotangent**is the multiplicative inverse of tangent.

### Examples

A. List the values of sin A, cos A, tan A for the triangle when length is given as 9.2

**Hypo****tenuse= 9.2**

For sin A = Opposite/Hypotenuse = 6.0/9.2 = 0.652

For cos A= Adjacent/Hypotenuse = 7.2/9.2 = 0.782

For tan A = Adjacent/Opposite = 7.2/6.0 = 1.2

**Problem 1. In this triangle, find the value of x.**

Given : Length of the side= 45

angle = 30°

To Calculate: hypotenuse which is *x*?

Sin (30) = Opposite/Hypotenuse

= 45/*x*

*x* = 45/sin (30)

= 90

**Check Point:**

Problem 1. If *x* is an acute angle and tan *x* = 6, find the exact value of the trigonometric functions sin *x* and cos *x*.

Problem 2. What is the value of cos A ,cot A and sec A in given triangle?

Problem 3. State True or False

i) Ratio of the side adjacent to that angle to the hypotenuse is sine. _________

ii) Cotangent is a multiplicative inverse of tangent. ________

##### Answer Key

Answer 1. sin *x* = 0.98, cos *x* = 0.16

Answer 2. cos (A) = 0.5

sec (A) = 2

cot (A) = 1/

Answer 3. i) False

ii) True

## Personalized Online Tutoring

eTutorWorld offers affordable one-on-one live tutoring over the web for Grades 2-12, Test Prep help for Standardized tests like SCAT, CogAT, SSAT, SAT, ACT, ISEE and AP. You may schedule online tutoring lessons at your personal scheduled times, all with a Money-Back Guarantee. The first one-on-one online tutoring lesson is always FREE, no purchase obligation, no credit card required.

For answers/solutions to any question or to learn concepts, take a **FREE Demo Session**.

*No credit card required, no obligation to purchase. *

*Just schedule a FREE Sessions to meet a tutor and get help on any topic you want!*

## Pricing for Online Tutoring

Tutoring Package | Validity | Grade (1-12), College |
---|---|---|

5 sessions | 1 Month | $129 |

1 session | 1 Month | $26 |

10 sessions | 3 months | $249 |

15 sessions | 3 months | $369 |

20 sessions | 4 months | $469 |

50 sessions | 6 months | $1099 |

100 sessions | 12 months | $2099 |

## IN THE NEWS

Our mission is to provide high quality online tutoring services, using state of the art Internet technology, to school students worldwide.

**Online test prep and practice**

SCAT

CogAT

SSAT

ISEE

PSAT

SAT

ACT

AP Exam

**Science Tutoring**

Physics Tutoring

Chemistry Tutoring

Biology Tutoring

**Math Tutoring**

Pre-Algebra Tutoring

Algebra Tutoring

Pre Calculus Tutoring

Calculus Tutoring

Geometry Tutoring

Trigonometry Tutoring

Statistics Tutoring

**Quick links**

Free Worksheets

Fact sheet

Sales Partner Opportunities

Parents

Passive Fundraising

Virtual Fundraising

Our Expert Tutors

Safe and Secure Tutoring

Interactive Online Tutoring

After School Tutoring

Elementary School Tutoring

Middle School Tutoring

High School Tutoring

Home Work Help

Math Tutors New York City

Press

©2022 eTutorWorld Terms of use Privacy Policy Site by Little Red Bird

©2022 eTutorWorld

Terms of use

Privacy Policy

Site by Little Red Bird