Find the general solution of : =-3 - Vidyadip

Question

Find the general solution of : $\cot \theta=-\sqrt{3}$

✓

Answer

$ \text { (iii) } \cot \theta=-\sqrt{3} \quad \therefore \tan \theta=-\frac{1}{\sqrt{3}}$
$\therefore \quad \tan \theta=\tan \frac{5 \pi}{6}\left(\text { As tan } \frac{\pi}{6}=\frac{1}{\sqrt{3}} \text { and } \tan (\pi-A)=-\tan A\right) $
The general solution of $\tan \theta=\tan \alpha$ is $\theta= n \pi+\alpha$, where $n \in Z$.
$\therefore$ The general solution of $\tan \theta=\tan \frac{5 \pi}{6}$ is $\theta= n \pi+\frac{5 \pi}{6}$, where $n \in Z$.
$\therefore$ The general solution of $\cot \theta=-\sqrt{3}$ is $\theta=n \pi+\frac{5 \pi}{6}$, where $n \in Z$.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "Solve the Following Question.(2 Marks)" from Trigonometric Functions→Trigonometric Functions — all question types→Maths STD 12 Science question papers→Maharashtra Board STD 12 Science question papers→Maharashtra Board question paper generator→

Similar questions

$\int_1^9 \frac{x+1}{\sqrt{x}} \cdot d x$

Find the equation of tangent to the curve $y=x^2+4 x+1$ at $(-1,-2)$.

Find the approximate value of given functions, at required points.

$\sqrt{ } 8.95$

Find the principal value of the following:
$\cos^{-1}\Big(\tan\frac{3\pi}{4}\Big)$

Evaluate the following:

$\int x^2 \log x d x$

Examine whether each of the following statement patterns is a tautology or a contradiction or a contingency. [p → (~q ∨ r)] ↔ ~[p → (q → r)]

Evaluate the following functions : $\int(3 x+2) \sqrt{x-4} \cdot d x$

Draw the graph of inequalities $x ≤ 6, y −2 ≤ 0, x ≥ 0, y ≥ 0$ and indicate the feasible region

Which of the following distributions of a random variable X are the probability distributions?

X:	0	1	2	3
P(X):	0.3	0.2	0.4	0.1

Find the matrix of co-factors for the matrix $\left[\begin{array}{cc}1 & 3 \\ 4 & -1\end{array}\right]$