# How to write a trigonometric ratio as a simplified fraction of trig

Many of the algebraic operations you have already learned, such as combining like terms or applying the distributive law, produce equivalent expressions. Equation a is an identity obtained by combining like terms on the left side. Equation b is an identity obtained by applying the distributive law on the left side. ## - Trigonometric identities

The reality is that trig proofs are tough, even for teachers, and the only reason the teacher can make it look so easy is they've been teaching the same problems year after year!

That's why in the videos below I break trig proofs down for you, revealing the Big Three basic types of trig proof that almost every proof falls into, and showing you the step-by-step process for working each type out. I also "wing it" a bit, working example problems I've never done before, so that you can see that even Trig Masters don't always see exactly how to solve a proof when they first see it, and that often it comes down to "messing around with it" and trying a few things before you find the path that will get you to the solution.

The key is to not give up if you hit a few dead ends! Basic Trig Proofs Using "Reciprocal Properties" "Reciprocal Properties" is just a fancy way math teachers use to describe these three equations you already know: Not so bad, right?

In this video I work a bunch of them, and show you how to spot this type. Add to playlist The Pythagorean Identity: In this video I show you where it comes from, how to use it in proofs, and how to spot proofs where it might come in handy.

• Sine, Cosine and Tangent ratios of a triangle. How to write the trig ratios of right triangles
• Trigonometric Ratios | Passy's World of Mathematics

So, in this video I show you a great trick to memorize them so you can write them down at the top of your quiz or test a practice I highly recommend. I also show you how to spot trig proof problems where they'll come in handy, and work a few examples.

## Simplify trigonometric expressions to their simplest form step-by-step

Add to playlist Trig Proofs With Complex Fractions Trig proofs get a lot harder when they don't have exponents in them, since you can't use the Pythagorean Identities on them.

If you still remember Algebra 2, you'll recognize this "conjugate trick" as a way we rationalized complex fractions and roots.

Add to playlist Tricky Proofs - Honors Only! It also shows that even folks who are pretty good at trig don't necessarily see how to solve a proof when we begin; you just have to keep messing around until it gets there! If you're in honors, these trig proof examples are for you!Writing Trig srmvision.comok 1 October 13, Oct 13­ PM Write each trigonometric ratio as a simplified fraction and as a decimal rounded to the. The Transformations of Trig Functions section covers: T-Charts for the Six Trigonometric Functions.

Here are the trig parent function t-charts I like to use (starting and stopping points may be changed, You may be asked to write trig function equations. Note: a useful way to remember the primary trig ratios is the acronym.

## Right triangle

SOH CAH TOA. In addition to the primary trigonometric ratios, there are 3 reciprocal trigonometric ratios: cosecant (csc), secant (sec) and cotangent (cot). Math · High school SOH-CAH-TOA: an easy way to remember trig ratios.

The word sohcahtoa helps us remember the definitions of sine, cosine, and tangent. Here's how it works: Practice: Trigonometric ratios in right triangles. Next tutorial. Solving for a side in a right triangle using the trigonometric ratios. DAY 1: SWBAT: Calculate the length of a side a right triangle using the Pythagorean Theorem Pgs: 1 - 4 HW: 5 - 6 DAY 2: SWBAT Trigonometric Ratios – Day 2 Write the ratio that represents the trigonometric function in simplest form.

## Rewrite the expression (tan A)(cot A) in terms of a single trigonometric ratio.

13 TRIG RATIOS REVIEW Multiple . A fraction is just a different way of expressing the ratio. It expresses the relationship between one part of the whole and the whole.

The two numbers of a ratio are separated by a colon, just as the two numbers in a fraction are divided by a fraction bar. Ratio to Fraction Calculator is an .

Trigonometric Simplification Calculator - Symbolab