Posted by **jimmy** on Tuesday, March 20, 2007 at 3:46pm.

I need help on finding the local linear approximation of tan 62 degree.

i got 1.77859292096 can someone check if i got it right?

tan(60+2) = (tan 60+ tan 2) / (1- tan60 tan 2)

But tan2 appx = sin 2deg = sin2PI/180= 2PI/180

tan 62=(tan 60+2PI/180) / (1- tan60 2PI/180)

check that. It does not equal your answer.

The actual value of tan 62 is 1.880726465.

I don't know what you mean by the "local linear" approximation. If you were doing a linear Taylor series approximation around 60 degrees, you would get

tan 62 = tan 60 + [d/dx(tan x)@ 60 deg]* 2 deg*(pi/180)(deg/radian)= sqrt 3 + (8 pi/180 = 1.8716

The pi/180 factor converts degrees to radians for use in the linear approximation.

## Answer this Question

## Related Questions

- Integration - Intergrate ¡ì sec^3(x) dx could anybody please check this answer. ...
- Trigonometry - Find the exact value of tan(a-b) sin a = 4/5, -3pi/2<a<-pi...
- Trig - tan 15° using composite argument? - tan 15° tan (45°-30°) (tan 45° - tan ...
- calculus - can anyone tell me if tan-1x= 1 over tan x? No. They are different. ...
- Trig. - sec^2xcotx-cotx=tanx (1/cos)^2 times (1/tan)-(1/tan)=tan (1/cos^2) times...
- PreCalculus - Hi I need some assistance on this problem find the exact value do ...
- trig - h t t p : / / i m g 4 0 . i m a g e s h a c k . u s / c o n t e n t . p h...
- calculus - So I am suppose to evaulate this problem y=tan^4(2x) and I am ...
- Math-Trigonometry - Show that if A, B, and C are the angles of an acute triangle...
- Math Analysis - Can someone check my answers please? Thank you! If tan x = 3/5, ...