Can tan theeta be integrated?, Mathematics

Assignment Help:

Ans)

You can integrate tanθ

write tanθ=sinθ/cosθ

so now, integral of tanθ.dθ=integral of sinθ/cosθ.dθ→1

put cosθ=t→2

there fore -sinθ.dθ=dt→3

put 2 and 3 in 1

so,the question becomes integral of tanθ.dθ=integral of -dt/t→4

=-log t +c → 5 [reason:dx/x=logx]

put 2 in 5,

=-log cosθ+C

where C is the integration constant

Related Discussions:- Can tan theeta be integrated?

Vertical tangent for parametric equations, Vertical Tangent for Parametric ...

Vertical Tangent for Parametric Equations Vertical tangents will take place where the derivative is not defined and thus we'll get vertical tangents at values of t for that we

Combinations, evaluate the expression a) 10C4 b) 10P4.....I do not under...

evaluate the expression a) 10C4 b) 10P4.....I do not understand this

Find out the length of hamiltonian path, Find out the length of Hamiltonian...

Find out the length of Hamiltonian Path in a connected graph of n vertices. Ans: The length of Hamiltonian Path in a connected graph of n vertices is n-1.

Matrices, problem faced by students

problem faced by students

Linear programming, function [x, z] = readSolution(tableau, basis)

function [x, z] = readSolution(tableau, basis)

Exponents, i need help with exponents and how to add them

i need help with exponents and how to add them

In sequence to remain the pole perpendicular to the ground, A cable is atta...

A cable is attached to a pole 24 ft above ground and fastened to a stake 10 ft from the base of the pole. In sequence to remain the pole perpendicular to the ground, how long is th

Guess my number, My thousandths digit is twice the tenths digit. My tenths ...

My thousandths digit is twice the tenths digit. My tenths digit is one less than the hundredths digit. If my number is 5, what my number?

Operations research, Solve the following Linear Programming Problem using S...

Solve the following Linear Programming Problem using Simple method. Maximize Z= 3x1 + 2X2, Subject to the constraints: X1+ X2 = 4 X1+ X2 = 2 X1, X2 = 0

What is the maximum volume of rectangular box, 1. A rectangular piece of ca...

1. A rectangular piece of cardboard measuring 26 inches by 42 inches is to be made into a box with an open top by cutting equal size squares from each comer and folding up the side

3/9/2013 7:36:41 AM yes you can intergrate tan θ tan q = sin q/cos q (1) let, y = cos q so, dy/dq = -sin q this implies, dq=dy/-sin q (2) putting values in (1) ∫ 1/-y = -log\|y\| =-log\|cos q\| so the ∫ tan q = -log\|cos q\|

3/9/2013 7:36:41 AM

yes you can intergrate tan θ

tan q = sin q/cos q (1)

let,

y = cos q

so, dy/dq = -sin q

this implies, dq=dy/-sin q (2)

putting values in (1)

∫ 1/-y

= -log|y|

=-log|cos q|

so the ∫ tan q = -log|cos q|

Write Your Message!

Name

Email id

Message

Verfication Code

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

Submit Assignment

User Account

All Pages