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?

Determines the angles of depression, A pilot is flying over a straight leng...

A pilot is flying over a straight length of road. He determines the angles of depression of two mileposts, 5 miles apart, to be 32° and 48°. a) Find the distance of the plane f

What is a system of equations?, What is a System of Equations? And its Solu...

What is a System of Equations? And its Solution? Here is an example of a system of equations (also called a simultaneous system of equations) x 2 + y = 3

Pre calc, - Find the total surface area of a frustum of a cone. (Include to...

- Find the total surface area of a frustum of a cone. (Include top and bottom). The equation that I have for volume is v=1/3 pi x h(r^2+rR+R^2) -the equation that I have found fo

Help me help me!, A 65 ohm resistor is connected to a power supply , a curr...

A 65 ohm resistor is connected to a power supply , a current of 2.4 amperes is drawn. what is the output voltage?

Ratios, a doctor sees 3 boys to 5 girls in one week . If he sees 40 boys in...

a doctor sees 3 boys to 5 girls in one week . If he sees 40 boys in one day then how many girls does he see that day

Unit rates, which shows the rate 12 inches of rain in 6 hours as a unit rat...

which shows the rate 12 inches of rain in 6 hours as a unit rate

The definition of the limit, The Definition of the Limit In this secti...

The Definition of the Limit In this section we will look at the precise, mathematical definition of three types of limits we'll be looking at the precise definition of limits

Laplace transforms, As we saw in the previous section computing Laplace tra...

As we saw in the previous section computing Laplace transforms directly can be quite complex. Generally we just utilize a table of transforms when actually calculating Laplace tran

Ratio, find the ratio of 1:4

find the ratio of 1:4

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!

Captcha
Free Assignment Quote

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!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd