Question

Which expression is equal to sec x° multiplied by cot x°?

hypotenuse ÷ adjacent

adjacent ÷ hypotenuse

opposite ÷ adjacent

hypotenuse ÷ opposite

I think its the last one

Answer 1

\[ \sec x = \frac{1}{\cos x}\]
\[ \cot x = \frac{\cos x}{\sin x}\]

Can you see how this simplifies :) Then just use the definition of your basic trig identities

Answer 2

so its not the last one? haha sorry im so confused

Answer 3

Oh sorry I didn't read the last sentence.. I thought all the stuff below the question were choices :) Indeed, you are right!

Answer 4

haha ok thank you! I was just double checking it! thank you very much

Answer 5

do you think you can help me with one more?

Answer 6

sure

Answer 7

OK thank you! this is the question!
Find the measure of angle y. Round your answer to the nearest hundredth. (please type the numerical answer only)

Answer 8

You are given the opposite length and the hypotenuse... so you can see that:
\[\sin y=\frac{4}{20} \]

Answer 9

Now you can solve for \(y\) by using the inverse operation \(\arcsin\), or also known as \(\sin^{-1}\)

Answer 10

I have no clue on how to do that. im sorry could you plz walk me through it. I didnt understand anything in this lesson and my teacher is super busy

Answer 11

Ok. So the way to cancel out the " \(\sin\)" is by using operation called \(\arcsin \) , but your teacher may have used the notation \(\sin^{-1}\) instead. It's the same thing though :)
So:
\[ \sin y = \frac{4}{20}\]\[ y=\arcsin\left(\frac{4}{20} \right)\]

That last line is the same as writing
\[y=\sin^{-1}\left(\frac{4}{20} \right) \]... now to find this quantity, you need to punch it into a calculator

Answer 12

ummmm i'm getting decimals and I have the feeling thats totally wrong. how do I put it in the calculator I wanna make sure i'm doing it right

Answer 13

Not sure which one you are using, but you should have a "shift" or "2nd function" button. Press that and then press the "\(\sin\)" button

Answer 14

ok. I keep getting 0.2

Answer 15

oh wait ok now I got 5 haha I put it in wrong.

Answer 16

That's good if you need your answer in radians. If you need it in degrees, you should change the setting on your calculator

Answer 17

Hm it shouldn't be 5 degrees. Be careful when converting from radian to degrees (or just set your calculator in degree mode and do the calculation again)

Answer 18

OK now i'm confused. I'm using the only calculator I have which is my phone and it doesn't have that. ugh this is frustrating

Answer 19

I'm sorry I'm probably annoying the crap outta you. I'm terrible at math

Answer 20

Oh well o.o Um I suggest getting a scientific calculator... you would probably need one for your exams I believe

Answer 21

No annoyance lol, don't worry.

Answer 22

For now you can try this: http://www.wolframalpha.com/input/?i=arcsin%284%2F20%29
It gives you the numerical value in radians and in degrees