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?

Integerts, how do u add and subtract integers

how do u add and subtract integers

Business math, David invests $17,000 into an account and at the end of 7 ye...

David invests $17,000 into an account and at the end of 7 years, his account has a balance of $ 26,417.77. What is the interest rate (assuming annual compounding)?

Bayes’ theorem, Bayes’ Theorem In its general form, Bayes' theorem deal...

Bayes’ Theorem In its general form, Bayes' theorem deals with specific events, such as A 1 , A 2 ,...., A k , that have prior probabilities. These events are mutually exclusive

Arc length with parametric equations, Arc Length with Parametric Equations ...

Arc Length with Parametric Equations In the earlier sections we have looked at a couple of Calculus I topics in terms of parametric equations. We now require to look at a para

Pre Calculus, 5 2 ----- - ----- x-1 x+1 ------------------...

5 2 ----- - ----- x-1 x+1 -------------------- x 1 ----- + ----- x-1 x+1

Algebra, Hi, I don''t know how to solve 2(5x+3)

Hi, I don''t know how to solve 2(5x+3)

Product and quotient rule, Product and Quotient Rule : Firstly let's se...

Product and Quotient Rule : Firstly let's see why we have to be careful with products & quotients. Assume that we have the two functions f ( x ) = x 3 and g ( x ) = x 6 .

Area and surface Are, I cant figure out how to study for my math test

I cant figure out how to study for my math test

Decimals, how do u add them together?

how do u add them together?

Find the rate at which its tip is moving, If the minute hand of a big clock...

If the minute hand of a big clock is 1.05 m long, find the rate at which its tip is moving in cm per minute.

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