Question

Help with Trig practice problem

Answer 1

so to start a^2+7^2=8^2

Answer 2

Do you know the Pythagorean Theorem and how to use it to find the third side length?

Answer 3

Yes

Answer 4

Yeah, what you have is correct. Solve for a.

Answer 5

it would equal the sqrt15

Answer 6

correct. Okay, do you know the trigonometric ratios of all the functions?

Answer 7

well question would it be 3qrt5?

Answer 8

instead of sqrt15?

Answer 9

No. It would be \(\sqrt{15}\)

Answer 10

Ok I was wondering

Answer 11

so first is sin which is oppsite of hyp

Answer 12

Do you know sin, cos, tan, csc, sec, cot?

Answer 13

mhm

Answer 14

yeah, opposite over hypotenuse. So what is that?

Answer 15

so 8/sqrt15

Answer 16

Not quite. Flip them.

Answer 17

oopsie sqrt15/8

Answer 18

Right. You found the ratio for csc though. :)
\(\large\sin\theta=\Large\frac{8}{\sqrt{15}}\)

\(\large\csc\theta=\Large\frac{\sqrt{15}}{8}\)

Answer 19

Now do cos.

Answer 20

aha yay

Answer 21

so 7/8 is what cos is

Answer 22

and question dont you ahve those flipped wasnt sin sqrt15/8?

Answer 23

and now for sec is 8/7?

Answer 24

yep. cos is 7/8 and sec is 8/7

Answer 25

And thanks for catching that. You're correct. I do have them backwards, hah

Answer 26

question, i thought it is illegal to have sqrts in the denominator s:

Answer 27

It's not illegal, but it is frowned upon. It depends on the teacher. If you want to be safe, we can change it so that the denominator doesn't have a radical. Do you want to do that?

Answer 28

Yes

Answer 29

Okay.

Answer 30

so \[\frac{ 8 }{ \sqrt15 }*\frac{ \sqrt15 }{ \sqrt15 }=8\sqrt15/15\]

Answer 31

\[\frac{ 8\sqrt15 }{ 15 }\]

Answer 32

\(\sf\Large\color{blue}{NICE\ JOB!}\)
\(\large\sin\theta=\Large\frac{\sqrt{15}}{8}\)

\(\large\csc\theta=\Large\frac{8}{\sqrt{15}}\rightarrow\frac{8\sqrt{15}}{15}\)

\(\large\cos\theta=\Large\frac{7}{8}\)

\(\large\sec\theta=\Large\frac{8}{7}\)

Answer 33

Now tan.

Answer 34

woop

Answer 35

sqrt15/7

Answer 36

and 7sqrt15/15

Answer 37

Excellent job!

Answer 38

lel that was easier than expected

Answer 39

:)

Answer 40

aha

Answer 41

Thank you for going through this :D

Answer 42

You're absolutely welcome. It was a pleasure working with you! \(\large\color{blue}{\ddot\smile}\)

Answer 43

take my fan :p

Answer 44

Huh?

Answer 45

loool I fanned you basically is what i meant :p

Answer 46

Oh, sorry. I figured, but I didn't see the notification until I refreshed. Thank you.

Answer 47

Mhm :3