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integration of tan theeta is log|sec theeta| +constant
Dear R VISWANANTH,
Yes ofcourse. Tanθ can be integrated.
∫tanθ = -ln|cosθ| + C
where C is the Integral Constant .
Hope this helped you immensely..! All the Very Best & Good Luck to you ..!! Best Regards, AskIITians Expert, Godfrey Classic Prince IIT-M Please approve my answer if you liked it by clicking on "Yes" given below..!!
Hope this helped you immensely..!
All the Very Best & Good Luck to you ..!!
Best Regards,
AskIITians Expert,
Godfrey Classic Prince
IIT-M
Please approve my answer if you liked it by clicking on "Yes" given below..!!
yes you can intergrate tan theeta.
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|
yes log|tantheeta +sectheeta|
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
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