Question

Find value of tan when sin(56) = 0.8290 and cos(56) = 0.5592

Answer 1

Are you looking to find the tan(56)?

Answer 2

it just asks for tan of theta, i tried tan of 56 and i got the question wrong

Answer 3

Assumption: The question is to find tan(56) if sin(56) = 0.8290 and cos(56) = 0.5592.

Note: It would be helpful if you would post the problem as it appears in your text.

You have to know your trig ratio identities.

Tan(x) = sin(x) over cos(x)

So,
Tan(56) = Sin(56)/Cos(56)

Tan (56) = .8290/.5592

Your Task: Divide .8290 by .5592 and post what you get.

Answer 4

\[Use the below values \to find \tan(\theta) . Round your answer \to three decimals. \] \[\sin (56) \approx 0.8290 \]
\[\cos(56) \approx 0.5592\]
That's the question.
I got 1.482 but i did choose that before and got it wrong

Answer 5

I got 1.482.

The problem I see is that the angle theta is not defined. I assumed it is 56 degrees which is what the problem seems to insinuate.

If there is a diagram of a triangle, then theta might be another angle in the triangle that is determined by using the tangent of 56 degrees. I just don't know because the problem, as posted, is poorly written.

That said, we might be able to figure out the answer but it would be a guess.

What are the other answer options?

Answer 6

A.
1.482
B.
1.206
C.
1.788
D.
1.483
E.
0.675

Answer 7

We know A is wrong.
If you crank out the tangent of 56 degrees on the calculator without looking at the given information, you get this:
1.482561
1.482 5 61

The answer is to be given to three decimals which is the nearest thousandth.
Because the "5" after the 2 in 1.482 is 5 or more, the "2" in 1.482 is rounded up to a "3"

That gives 1.483 as the answer to three decimal places.

Yet, those other values we were given took us to 1.482 even after I checked the 4th digit. So, the question is bad.

I don't know for sure because of how this problem is written but I thinkg what the answer program wants to see is --> 1.483

Answer 8

@cherub94