# 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

Be it homework help with trigonometry or practice worksheets for your math hour at home, eTutorWorld has it all!

It’s really magical yet triangular. Find out for yourself by taking a Free Trial Session with us.

*No credit card is required, nor are you under any obligation to make a purchase. Just schedule the FREE TRIAL lesson to meet a tutor & get help on any topic you want!*

Our Learning by Design methodology focuses exclusively on the individual student. Our tutors are specially trained to identify and diagnose the needs and interests of each student and plan lessons accordingly.

#### Find more about our Personalized Online Tutoring Learning Packages.

+1-269-763-4602

+1-269-763-5024

Quick Links

Follow Us

© 2018 eTutorWorld - Online Tutoring and Test Prep | All rights reserved