Question

Help with practice problems for trig

Answer 1

@DarkBlueChocobo you should be able to do this \[\tan(\theta)=\frac{\sin(\theta)}{\cos(\theta)} \\ \cot(\theta)=\frac{\cos(\theta)}{\sin(\theta)} \\ \csc(\theta)=\frac{1}{\sin(\theta)} \\ \sec(\theta)=\frac{1}{\cos(\theta)}\]

Answer 2

just enter in what is given and simplify the quotient

Answer 3

\[\frac{ 2\sqrt5 }{ 5 }\div-\frac{ \sqrt5 }{ 5 } \]

Answer 4

ok looks like you are doing cot first

Answer 5

Yes, so is that all s: one moment let me copy that into my notes

Answer 6

If these identities weren't known to you before when we doing those questions then I understand I a little more why you were confused...

Answer 7

alright sorry I didnt see that list before s:

Answer 8

so would cot=-5

Answer 9

\[\frac{2 \sqrt{5}}{5} \div - \frac{\sqrt{5}}{5} \\ -\frac{2 \sqrt{5}}{5} \cdot \frac{5}{\sqrt{5}}=-2\]

Answer 10

but I thought you cant have a sqrt in the denominator?

Answer 11

oh wait in cancels it

Answer 12

so then just switch the equation for tan so \[\frac{ \sqrt5 }{ 5 }\div \frac{ 2\sqrt5 }{ 5 }\]

Answer 13

well on my previous thread I did say tan and cot are just reciprocals of one another

Answer 14

just flip the -2

Answer 15

cot(theta)=-2
tan(theta)=-1/2

Answer 16

or you can do all that work

Answer 17

either way

Answer 18

Aha yes i just got that since its the reciprocal

Answer 19

csc(theta) and sin(theta) are also reciprocals of one another
sec(theta) and cos(theta) are reciprocals of one another

Answer 20

\[1\div \frac{ \sqrt5 }{ 5 }\]

Answer 21

is this 1 over sin or divided by?

Answer 22

\[\csc(\theta)=\frac{-5}{\sqrt{5}}\]
just flip

Answer 23

rationalize the denominator

Answer 24

1/(a/b) means to flip a/b
so
1/(a/b)=b/a

Answer 25

and then for sec you flip it back?

Answer 26

no for sec just flip cos

Answer 27

for csc we will flip sin
for sec we will flip cos

Answer 28

so sec=\[-\frac{ 5 }{ 2\sqrt5 }\]

Answer 29

why does sec turn neg?

Answer 30

finding a number 's reciprocal doesn't involve altering the sign

Answer 31

unless someone tells you to find the opposite reciprocal

Answer 32

Sorry i combined the - from sin

Answer 33

if cos is pos then sec is pos
if sec is pos then cos is pos

Answer 34

I miss look a lot of times sorry

Answer 35

it is okay

Answer 36

Thank you for all the help again though

Answer 37

i just hope you are actually understanding things that I'm saying

Answer 38

Yes now that I have that list of things its a lot clearer i need to look back in my book to see if there is a list like that

Answer 39

there should be
though I could be mistaken