Question

Is there anyone knowledgeable about sine, cosine, and tangent (trigonometry) that might be able to help me? last question

Answer 1

I can try

Answer 2

It just depends on the depth of the question lol

Answer 3

Okay let me draw it out. Give me one sec. Thanks @mattyboyy

Answer 4

I have to find the values of w and x.

Answer 5

Also, the 45 and 35 numbers in the figure are degrees (45 degrees and 35 degrees).

Answer 6

@mattyboyy ??

Answer 7

@dan815 Can you please help me?

Answer 8

What about w and x though? the sine of w and x? cosine?

Answer 9

It doesn't say. The directions just say "find the values of w and then x. Round the lengths to the nearest tenth and angle measures to the nearest degree.

Answer 10

Yeah you're gonna need help from someone who knows more lol
@sleepyjess you think you can help him really quick??

Answer 11

oohhh trig... fun

Answer 12

For the triangle in black, we can use the 45 45 90 rule

Answer 13

I'm super confused and I'm having some family issues at the moment so if I don't respond right away that's why

Answer 14

Okay, that's fine :)

Answer 15

Okay so the 45-45-90 rule states what exactly?

Answer 16

45 45 90 states that the legs are equivalent and the hypotenuse is leg*\(\sqrt 2\)

Answer 17

Okay so to find the value of w, would I use sine, cosine, or tangent?

Answer 18

Cosine, right?

Answer 19

To find the value of w, just look at the length of the other leg :)

Answer 20

Oh truueeee I didn't even realize that. Okay... Now to find the value of x, what would the procedure be?

Answer 21

to find x... to find x...

Answer 22

Give me just a minute to remember this again B)

Answer 23

Okay not a problem. Thanks. :)

Answer 24

I think the best way to go about this would be to find the length of the w and x together the subtract out w

Answer 25

We know opposite and we're looking for adjacent, so we would use \(tan(35) = \dfrac{5.5}{adjacent}\)

Answer 26

Does that make sense so far?

Answer 27

Yes I think so.

Answer 28

Okay :)

Answer 29

Now we just need to solve for adjacent

Answer 30

So when I input tan(35) into my calculator, I get 0.473815. Did I do something wrong?

Answer 31

That should be correct, I don't have a calculator on me right now, but if that's what yours gave you :) Now multiply each side by adjacent
This would be a lot easier if you could use cot, csc, and sec >.<

Answer 32

What are cot, csc, and sec?

Answer 33

other trig functions

Answer 34

With cot (cotangent, also known as arctan) we could just do cot(35) = adjacent/5.5 (opposite), 1.428 = adjacent/5.5, multiply by 5.5, 7.854 = adjacent, subtract 5.5 to get x... but sadly, they won't let you do it that easily