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## Introduction to trigonometry

Trigonometry is a combination of two greeks words i.e, **trigonon,** which means triangle, and **metron**, which means measure. For example, if we know the two sides of triangle lengths, we can determine the length of the other side and other unknown two angles. Therefore, we can define trigonometry the branch of mathematics dealing with the relations of the sides and angles of triangles and with the relevant functions of any angles.The key concepts or topics that students should learn and understand in trigonometry include the following:-

*Pythagorean Theorem*

*Pythagorean Theorem*

Also, know as Pythagoras’s theorem is a fundamental relation in Euclidean **geometry** among the three triangle sides. This theorem states the sum of squares on the sides of the right triangle is equal to the square of hypotenuse i.e., the opposite side of the right angle.In algebraic notation we can write this as a2 + b2 = c2.

**Trigonometric identities**

**Trigonometric identities**

Trigonometric identities form the fundamental relations between the critical trigonometric ratios like** ** sinθ,cos , tanθ, cotθ, secθ, and cosecθ.The three basic trigonometric ratios are cosine,sine and tangent.

**Trigonometry functions**

These are fundamental functions that relate the angle of the right-angled triangle to the ratio of the other two sides’ lengths.

*Double angle formula*

*Double angle formula*

These are formulas used to solve trigonometric functions and equations. Often used to get the value for trigonometric of higher angle.

sin2A=2sinAcosA

cos2A=A -A

tan 2A =2tan A 1-A

*Right triangle *

*Right triangle*

A triangle is a right-angled triangle if one of the angles is 90°.

**Half angle formula**

**Half angle formula**

Half angle formula is useful when solving trigonometric equations and functions. They are used in calculating the trigonometric value of small angles. Below is the formula used

sinA=2sin A2 cos A2

cosA=A2 -A2

*Inversions*

*Inversions*

Inverse trigonometric functions are inverse functions of the basic trigonometric functions, including sine,cosine,tangent,secant,cotangent, and cosecant functions.

For example, finding an inverse for sin x=1/2 can be solved by writing x=** sin–1(1/2) where -1 is a superscript.**

*Powers of complex numbers*

*Powers of complex numbers*

The complex number power formula helps compute the value of a complex number raised to the power of n. A complex number is x+iy, where X and Y are real numbers, and I are imaginary numbers.

*Interpolation*

*Interpolation*

Interpolation allows you to estimate with data set. This tool goes beyond the data but comes with a high degree of uncertainty.The formula for linear interpolation is **y = y1 + ((x – x1) / (x2 – x1)) * (y2 – y1)**, where y is unknown value,x is known value while x1 and y1 are the coordinates below the x value,x2 and y2 are values above x value.

*Angle of depression*

*Angle of depression*

This is the angle formed between line of sight and horizontal line .This angle is also known as angle of elevation.

## help me with my trigonometry homework

There are a lot of students searching for online trigonometry homework help.Below are main reasons that compel students to seek help with mathematics homework.

**Lack of time **

For students to excel in their academic work, they have to focus on all the subjects. A complicated topic like trigonometry can make you waste a lot of time doing the assignment and fail to work on other subjects. Hiring a trigonometry problem solver can help you save time and make it easy for you to understand different concepts that could take long research time.

Student who study part-time while working can have hard time juggling between work and homework therefore, hiring trigonometry tutors saves them a lot of time.

**Trigonometry problems are complex to solve**

Solving trigonometry problems can be hard to crack without proper knowledge and a basic understanding of core trigonometric topics. Looking for mathematics trigonometry homework help online can ensure you get a better grade.

It is even easier to understand the concepts once you look at an example completed correctly by a professional trigonometry assignment helper.

**Lack of materials**

Solving trigonometry problems you need to find materials that are authentic and reliable. Lack of correct materials makes trigonometry questions even more challenging to complete than when you have all the suitable research materials.

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Finding the exemplary trigonometry assignment help service can be a daunting task. Several websites online purport to offer trigonometry homework assistance, but some are not legit.

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**Active customer support-****Our company’s active support department**helps clear doubts and track orders progress. Our support team can help you place the order and answer any questions from our customers.**Editing and proof-reading team**-Once the writers are done drafting the final copy of your homework, it is sent to a team of proofreaders who can and edit any mistakes. By doing this, we ensure all the papers sent to our customers are well written with zero grammatical and punctuation errors.**Plagiarism-free papers**-All assignments are done from scratch by a team of professional writers and maths homework doers. We never resubmit or sell the papers once the homework has been completed. Therefore there are no chances of getting penalized for plagiarized homework.**Professional academic writers-**At Speedywriters, we hire the best academic writers, statisticians, and mathematicians to complete your essays, statistics homework, mathematics assignments, term papers, etc. All our writers undergo vigorous training and testing to ensure they align with our company standards of professionalism and academic writing.**Fair pricing**-Our pricing is very cost-friendly. We charge what every college and even high school student can afford. We don’t overprice ourselves. It is worth spending a small amount of money on a service that delivers quality academic papers.**Unlimited free revisions**-Sometimes the trigonometry homework solver may not meet your expectations. We always listen to our clients and revise homework according to their specifications.

## Types of trigonometry covered by our online assignment help

Using our trigonometry homework help services, we guarantee you customer satisfaction. We never reject assignments from our clients because we have the right team ready to work on trigonometry assignments papers. Our homework help trigonometry covers the main types of trigonometry.They include the following:-

**Core trigonometry **

This type of trigonometry is used for triangles that have 90 degrees angles. Mathematicians use both sine and cosine variables in a formula to determine the height and distance of the other two angles.

Using trigonometry help calculator or scientific calculator, it’s easy to make calculuations easier instead of using long divisions. Core trigonometry is mainly taught in high school, and it goes in-depth in college.

**Plane trigonometry**

Plane trigonometry is used in determining the height and distances of angles in a plane triangle. This type of triangle has three vertices on the surface, and the sides of the triangle are straight lines.

Plane trigonometry values are different from core trigonometry because the sum of the place totals 180 degrees.

**Spherical trigonometry**

Spherical trigonometry focuses mainly on triangles that are drawn on the sphere. Astronomers and scientists use this spherical trigonometry to determine distances, especially in-universe. The sum of angles is more significant than 180 degrees, which differs from core or plane trigonometry.

In spherical trigonometry, both sine and cosine tables are used with latitude and longitude variables to get the distance between two points.

**Analytic Trigonometry**

This branch of core trigonometry seeks to determine the value based on the x-y plane of the triangle. The sine and cosine of the sum of two angles are used to obtain sine and double angles.

Formulas for double angles are also used to determine the values of half angles’ values by using division and square roots. Analytic trigonometry is used in engineering and science.

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## Frequently asked questions

*What is the easiest way to study trigonometry?*

*What is the easiest way to study trigonometry?*

The easiest way of learning trigonometry is by studying the basics.

**Step 1.** First of all, you need to study the basic trigonometric angles.

**Step 2.** Study right angles triangle concepts. These are the easy starting concepts before diving into more profound, more complicated concepts. The right-angle triangle looks into the Pythagoras theorem.

**Step 3.** Understand cosine and sine rules in detail.

**Step 4.** Look into detail all the essential identities of trigonometry

*Can you use Photomath for trigonometry?*

*Can you use Photomath for trigonometry?*

Yes. You can use photo math to check answers or help you to work on your steps, especially when you are stuck doing your assignment.

Photomath is an android app that explains tricky math sets. It is helpful to students who need to understand essential calculus and trigonometry.

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