Aspire's Library
A Place for Latest Exam wise Questions, Videos, Previous Year Papers,
Study Stuff for MCA Examinations - NIMCET
Study Stuff for MCA Examinations - NIMCET
Previous Year Question (PYQs)
What is the general solution of the equation $\tan \theta + \cot \theta = 2$ ?
Solution
Given equation: $ \tan\theta + \cot\theta = 2 $.Rewrite $\cot\theta$:
$ \tan\theta + \dfrac{1}{\tan\theta} = 2 $.
Let $t = \tan\theta$.
Then:
$ t + \dfrac{1}{t} = 2 $.
Multiply by $t$:
$ t^2 + 1 = 2t $.
Rearrange:
$ t^2 - 2t + 1 = 0 $.
$ (t - 1)^2 = 0 $.
So:
$ t = 1 $.
Thus:
$ \tan\theta = 1 $.
General solution:
$ \theta = \dfrac{\pi}{4} + n\pi,\; n \in \mathbb{Z}. $
Online Test Series, Information About Examination,
Syllabus, Notification
and More.
View More
Online Test Series, Information About Examination,
Syllabus, Notification
and More.
View More
Ask Your Question or Put Your Review.
