# Math

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

?_?

1. 👍 0
2. 👎 0
3. 👁 1,526
I keep on getting .27 radians.

1. 👍 0
2. 👎 0

1. 👍 0
2. 👎 0
3. You need to show some working; I get 0.24.

1. 👍 0
2. 👎 0
4. Can you show how you got 0.27?
Also, it appears that yourself or jojo has asked the same question a few days ago. You could check the related post and answers at:
http://www.jiskha.com/display.cgi?id=1251499014

It should be stressed that since both sine and tangents are cyclic functions, the "largest" angle has to be bounded, such as 0 to 2π, or 0 to π/2, etc.
I got 0.2146 by solving the equation
tan(x)-sin(x)=0.005

The way you solve the equation will depend on what course you are taking, it could be by tabulation, trial and error, Newton's method, or series expansions.
This is probably why Dr. Russ would like to see your work.

1. 👍 0
2. 👎 0
5. I got .27 through trial and error. I haven't learned how to do trig equations which stinks and this is for physics. How did you get .24 Dr Russ?

1. 👍 0
2. 👎 0
6. Ok, lets use iteration. You got .27 radians.
I will use my calc to determine the values..
Tan(.27)-sin(.27)=.0100266 which is too high, so reduce the angle to .20
tan(.20)-sin(.20)=.00404 too low, so increase the angle
tan(.25)-sin(.25)=.0079, too high, reduce it again... (you could guess here, but my knowing the small angle approximation..)
tan(.22)-sin(.22)=.0054
slightly high, still, so once more..

So what I have done is just do iteration (up when the result is too low, down when too high). YOu don't have to know much trig to do this. You do need a good calculator.

1. 👍 0
2. 👎 0

## Similar Questions

1. ### Physics

A rocket-powered hockey puck moves on a horizontal frictionless table. The figure below shows the graphs of vx and vy, the x- and y-components of the puck’s velocity. The puck starts at the origin. The graph of the X-velocity is

asked by Eric on September 11, 2015
2. ### chemistry

Suppose you are asked to find the area of a rectangle that is 2.1-cm \rm cm wide by 5.6-cm \rm cm long. Your calculator answer would be 11.76 cm 2 \rm cm^2 . Now suppose you are asked to enter the answer to two significant

asked by Lindsey on August 29, 2013
3. ### Physics

Three boxes are lined up so that they are touching each other as shown in the figure below. Box A has a mass of 30.0 kg, box B has a mass of 45.0 kg, and box C has a mass of 75.0 kg. An external force (F) pushes on box A toward

asked by Josh on November 20, 2016
4. ### Physics

One study suggests that a brain concussion can occur if a person's head is subjected to an acceleration as small as 60g, where g is the acceleration of gravity. a. If the mass of the person's head is 4.5 kg, what is the magnitude

5. ### Physics-Trajectory

A particle's trajectory is described by x =(12t3−2t2)m and y =(12t2−2t)m, where t is in s. What is the particle's speed at t=0s ? What is the particle's speed at t=5.0s ? Express your answer using two significant figures. What

asked by Eric on September 11, 2015
1. ### Physics

A 2.0kg wood block is launched up a wooden ramp that is inclined at a 26 angle. The block's initial speed is 8.0 m/s. The coefficient of kinetic friction of wood on wood is 0.200. a) What vertical height does the block reach above

asked by senko on October 10, 2012
2. ### math

write 480 in a) 1 significant figure b) 2 significant figures c) 3 significant figures d) 4 significant figures

asked by Jack on August 23, 2010
3. ### physics

A hockey puck moving at 37m/s slams through a wall of snow 31cm thick. It emerges moving at 15m/s . Part A Assuming constant acceleration, find the time the puck spends in the snow. Express your answer to two significant figures

asked by Anonymous on January 25, 2015
4. ### physics

The handle of a 27kg lawnmower makes a 36∘ angle with the horizontal. If the coefficient of friction between lawnmower and ground is 0.66, what magnitude of force, applied in the direction of the handle, is required to push the

asked by Anonymous on February 16, 2015
5. ### Chemistry

The oxidation of iodide ion by arsenic acid, H3AsO4, is described by the balanced equation 3I−(aq)+H3AsO4(aq)+2H+(aq)→ I3−(aq)+H3AsO3(aq)+H2O(l) If −Δ[I−]/Δt = 4.8×10−4M/s , what is the value of Δ[I3−]/Δt during

asked by Joe on October 5, 2014