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Calculus/tangent to a curve

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Expert: Alon Mandes - 9/27/2008


Question
my question is:

if the equation of a curve is y=x-sin x cos x; find the equation of the tangent to the curve at x= ∏/2.
i do not have any problem with finding the equation of the tangent, but the pt. of intersection of the tangent on the curve is(∏/2.∏/2). where does this point lie on the graph?

Answer
Ok, whenever π is outside a cos or sine function , it's values is
4.1315, & when its inside a sin or cos function it's value will be
180°. What I'm trying to say is this :
on y-axis π/2 will be 1.57 & . & x-axis π/2 is 90°, or you may
leave it as π/2. Of course you can claim that π/2 is 1.57 even in
the x-axis, but keep in mind that when you perform sin(1.57) you
should work with radians & not degrees.

Alon.

Calculus

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Alon Mandes

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Kind of questions I can answer : Limits, Derivatives, Integration, Implicit functions, continuousity, differentiation ,Extremum problems, Lagrange multipliers, Gradients, Surface integrals, Multi variables functions ,Multi variables Integrals,Complex variables ,Complex functions, Curves, Trajectory integrals & Vector analyse,Divergence,Rotor & word problems. Kind of question I can't answer : Economics,Combinatorics,infinite series & convergence ,Statistics & Probabilities .

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1. I'm a team member of mathnerds (math site for answering questions) 2. I'm a team member in the Student's Union of the Technion, helping students who have problems in mathematics. 3. 2 years of experience as a math teacher in college. 4. I give free homework help for high school students in Mathematics & Physics. 5. I teach part time in collage the subjects : "Digital Signal Processing" , "Random Signals & Noise" , "Complex Functions".

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Hi-Tech company : GSM4VOIP ; job possition : Algorythm developer.

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M.A in Mathematics & Bs.c in Electronics.

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