General solution of eq^n, 2tanθ , -, cotθ =, -1 is

English

Gujarati

Hindi

Trigonometrical Equations

normal

General solution of $eq^n\, 2tan\theta \, -\, cot\theta =\, -1$ is

A

$n\pi $

B

$n\pi \,-\, \pi /4$

C

$n\pi \,+\, \pi /4$

D

None of these

Solution

$2 \tan \theta-\frac{1}{\tan \theta} =-1 $

$2 \tan ^{2} \theta+\tan \theta-1 =0$

$(2 \tan \theta-1)(\tan \theta+1) =0$

$\tan \theta =-1 $

$\theta= n \pi-\pi / 4$

Standard 11

Mathematics

Share

Similar Questions

Minimum value of the function $f(x) = \left| {\sin \,x + \cos \,x + \tan \,x + \cot \,x + \sec \,x + \ cosec\ x} \right|$ is equal to

normal

Find the general solution of $\cos ec\, x=-2$

easy

The value of $\theta $ in between ${0^o}$ and ${360^o}$ and satisfying the equation $\tan \theta + \frac{1}{{\sqrt 3 }} = 0$ is equal to

easy

Let $S=\{\theta \in[0,2 \pi): \tan (\pi \cos \theta)+\tan (\pi \sin \theta)=0\}$.

Then $\sum_{\theta \in S } \sin ^2\left(\theta+\frac{\pi}{4}\right)$ is equal to

hard

(JEE MAIN-2023)

If $n$ is any integer, then the general solution of the equation $\cos x – \sin x = \frac{1}{{\sqrt 2 }}$ is

medium