Question

Write each expression in terms of sin(theta), cos(theta), or both. Simplify wherever possible.
Its trig identities

1. tan(theta) * csc(theta) = ???
2. tan(theta) / sec(theta) = ???

Answer 1

http://www.mathwords.com/t/trig_identities.htm

Answer 2

I know what the identities are I just don't know how to solve the problem

Answer 3

\(\bf tan(\theta)\cdot csc(\theta)\implies \cfrac{\cancel{sin(\theta)}}{cos(\theta)}\cdot \cfrac{1}{\cancel{sin(\theta)}}\)

Answer 4

so its \[1 / \cos(\theta)\] ?

Answer 5

yes, and what's \(\bf \cfrac{1}{cos(\theta)} \quad ?\)

Answer 6

or sec(theta)

Answer 7

yeap

Answer 8

but is that still in terms of sin or cos (theta) ??

Answer 9

hmmm ohhh yeah... forgot that part... so ... .leave it like \(\bf \cfrac{1}{cos(\theta)}\) then

Answer 10

okay thanks a lot

Answer 11

\(\bf \cfrac{tan(\theta)}{sec(\theta)}\implies
\cfrac{
\frac{sin(\theta)}{cos(\theta)}
}{
\frac{1}{cos(\theta)}
}\implies
\cfrac{sin(\theta)}{\cancel{cos(\theta)}}
\cdot \cfrac{\cancel{cos(\theta)}}{1}\)

Answer 12

yw