# math

posted by jojo

Find the largest angle for which sine and tangent agree to within two significant figures.

1. Reiny

so we want
tanx = sinx
sinx/cosx = sinx
cosx = 1
x = 0º, 360º, 720º, ...
As you can see there is no such "largest" angle, they agree (are equal ?) at every multiple of 360º

BTW, then value of the "agreement" would be 0,
i.e. sin360=0, tan360=0
sin 720 = 0, tan 720 = 0 etc.

2. MathMate

The answer is indefinite, since both tangent and sin are cyclic functions.

If we look for the largest angle between 0 and 2π, then we set
sin(x)-tan(x) = 0.005 (for two significant digits)
Solving for x, we get
Check: sin(x) = -0.2129628
tan(x) = -0.2179628
Thus sin(x) and tan(x) agree within 2 significant figures.

3. jojo

4. Reiny

mmmhhh, looks like MathMate and I took a different interpretation.

I think I read is as if there had been a comma after 'agree', ie

Find the largest angle for which sine and tangent agree, to within two significant figures.

5. jojo

I think that is how the question is suppose to be interpreted Reiny. Very confusing wording.

6. Engineer R

I guess we should use the first derivative to see the max

## Similar Questions

1. ### Graphing trigonometric function

sine and cosine have a period 2pi tangent and cotangent have period pi Can someone explain why?
2. ### physics

The width of the doorway is 83 cm, and the speed of sound is 343 m/s. Find the diffraction angle when the frequency is each of the following. (a) 4.8 kHz If theta is the diffraction angle. Sine(theta)= lambda/slit width where lambda …
3. ### Significant figures in chemistry

can someone please explain significant figures to me?
4. ### trig

The terminal side of an angle includes the point (5,-12). Give the sine, cosine, and tangent of the angle exactly. I know how to plot it and everything, but I'm not sure where to put theta so I know which angle to use for finding sine, …
5. ### math- continuance of problem

Find the largest angle for which sine and tangent agree to within two significant figures.
6. ### Math

Find the largest angle for which sine and tangent agree to within two significant figures. Express your answer using two significant figures. Answer in radians ?
7. ### Pre-Cal

1) use the half-angle formulas to determine the exact values of the sine, cosine, and tangent of the angle. 67 degrees and 30' Please explain!! I do not know how to start.
8. ### Math

1) use the half-angle formulas to determine the exact values of the sine, cosine, and tangent of the angle. 67 degrees and 30' Please explain!! I do not know how to start.
9. ### Math

Find the exact value of the sine, cosine, and tangent of the angle 330 degrees. I know the tangent is -(square root 3)/3, but how?
10. ### Urgent--Geometry(trig part)

So I am new to sine, cosine, and tangent, so I need some help. Just explain it. No need for the answers unless you want to give it to me. :D Let triangle ABC be a right triangle with angleC=90degrees. Given the tangent of one of the …

More Similar Questions