Question

How do you simplify a trigonometric expression?

Answer 1

depends..do you have a question?

Answer 2

no this is just what the question said that I have to answer ? ;/ It says I can provide examples and what Not

Answer 3

few tricks and formulas ;)

Answer 4

well, you use the "trigonometry identities" like -> http://www.mathwords.com/t/trig_identities.htm

Answer 5

how would you word this into like 4 or 5 sentences @jdoe0001

Answer 6

it'd be easier if you give us one, so you can see the simplification, and thus you'd write it down :)

Answer 7

give an example?

Answer 8

ok.... ahemm... let's see say , ok, gimme one sec

Answer 9

\(\bf \textit{let us simplify, say } \quad
\cfrac{sin(\theta)}{cos(\theta)}+\cfrac{cos(\theta)}{sin(\theta)}\\\quad \\

\cfrac{sin(\theta)}{cos(\theta)}+\cfrac{cos(\theta)}{sin(\theta)} \implies \cfrac{sin(\theta)sin(\theta) + cos(\theta)cos(\theta)}{cos(\theta)sin(\theta)}\\ \implies \cfrac{sin^2(\theta) + cos^2(\theta)}{cos(\theta)sin(\theta)}\\\quad \\
\textit{if you look at your trig identities}\quad sin^2(\theta) + cos^2(\theta) = 1\\
\cfrac{sin^2(\theta) + cos^2(\theta)}{cos(\theta)sin(\theta)} \implies \cfrac{1}{cos(\theta)sin(\theta)}\\
\textit{recall that }\quad sec(\theta) = \cfrac{1}{cos(\theta)} \qquad csc(\theta) = \cfrac{1}{sin(\theta)}\\\quad \\\quad\\
\cfrac{1}{cos(\theta)sin(\theta)} \implies \cfrac{1}{cos(\theta)} \cdot \cfrac{1}{sin(\theta)} \implies sec(\theta)csc(\theta)
\)