Question

cosθ tanθ
can someone walk me through this
will give medal

Answer 1

Can u write tanθ in terms of sinθ and cosθ??
:)

Answer 2

kind of

Answer 3

For example-
if you have cotθ and you are asked to write it in terms of sinθ and cosθ then u just have this-

Cotθ =cosθ/sinθ


Like this can u write tanθ in terms of sinθ and cos??

Answer 4

tanθ=tanθ/cosθ

Answer 5

No this is not correct. The correct value of tanθ -

Tanθ =sinθ/cosθ

So now u have a new form of tanθ
Try to put it in ur expression and try to solve it

Answer 6

Do cosθ(sinθ/cosθ).

Answer 7

im really lost

Answer 8

Then you really need to study this:

http://www.sosmath.com/trig/Trig5/trig5/trig5.html

Answer 9

ok

Answer 10

can you please show me how to answer this

Answer 11

you really need to familiar with trig identities
look at the link and write these down n your notebook :-]

Answer 12

as mentioned by imqwerty

reciprocal identities: \[\large\rm \tan \theta = \frac{\sin \theta}{\cos \theta}\]
so you can replace tan with sin/cos in the original question

Answer 13

make sense ?

Answer 14

yes

Answer 15

alright then \[\large\rm cos \theta * \tan \theta \]
this is the question
rewrite tan theta in terms of sin /cos

Answer 16

tanθ=sin/cos

Answer 17

right if tan theta = sin/cos
then you substitute tan for sin/cos in this expression
\[\large\rm cos \theta * \tan \theta \]

Answer 18

sp it would be just sine/cosine

Answer 19

just tan theat = sin/cos

Answer 20

\[\large\rm cos \theta * \color{Red}{\tan \theta} \]
replace tan tehta with sin/cos

Answer 21

and then simplify:=))

Answer 22

sinθ

Answer 23

\[\large\rm cos \theta * \color{Red}{\frac{ sin \theta}{ cos \theta}} \]
in order to simplify this we need to rewrite tan in terms of sin cos
tan =sin/cos so we replaced tan with sin/cos
then simplify

Answer 24

that's correct.

Answer 25

that's same as \[\large\rm \cancel{ x}*\frac{y}{\cancel{x}}\]

Answer 26

so my answer would be sinetheta

Answer 27

right.

Answer 28

thank you for your help

Answer 29

np and please write these identities n ur notebook
it would make ur life easier :=))