Find the principal solutions of cosec x = 2 - Vidyadip

Question

Find the principal solutions of cosec x = 2

✓

Answer

$\operatorname{cosec} x=2$
$\therefore \operatorname{cosec} x=\operatorname{cosec}\left(\frac{\pi}{6}\right)$ and $\operatorname{cosec} x=\operatorname{cosec}\left(\pi-\frac{\pi}{6}\right)$
$
=\operatorname{cosec}\left(\frac{5 \pi}{6}\right)
$
such that $0 \leq \frac{\pi}{6}<2 \pi$ and $0 \leq \frac{5 \pi}{6}<2 \pi$
$\therefore$ The required principal solutions are $x=\frac{\pi}{6}$ and $x=\frac{5 \pi}{6}$.

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 "Answer the following questions in short." from Question Bank [2022]→Question Bank [2022] — all question types→Maths STD 12 Science question papers→Maharashtra Board STD 12 Science question papers→Maharashtra Board question paper generator→

Similar questions

$A(2,3), B(-1,5), C(-1,1)$ and $D(-7,5)$ are four points in the Cartesian plane, Check if, $\overline{C D}$ is parallel to $\overline{ AB }$

Write the truth values of the following :4 is odd or 1 is prime.

If $\overline{ a }=4 \hat{ i }+3 \widehat{ k }$ and $\overline{ b }=-2 \hat{ i }+\hat{ j }+5 \widehat{ k }$, then find $2 \overline{ a }+5 \overline{ b }$

Find the general solution of $\cos 3 \theta=\cos 2 \theta$

Write the negations of the following.Qudrilateral is a square if and only if it is a rhombus.

Find the negation of 10 + 20 = 30

Write the duals of each of the following. ~p ∧ (~q ∧ (p ∨ q) ∧ ~r)

State if the following is not the probability mass function of a random variable. Give reasons for your answer.

X	$0$	$1$	$2$	$3$	$4$
P(X)	$0.1$	$0.5$	$0.2$	$− 0.1$	$0.2$

The non zero vectors $\overline{ a }$ and $\overline{ b }$ are not collinear find the value of $\lambda$ and $\mu$ : if $\overline{ a }+3 \overline{ b }=2 \lambda \overline{ a }-\mu \overline{ b }$

Determine the order and degree of the following differential equations. state also whether they are linear or non linear.
$\frac{\text{d}^3\text{y}}{\text{dx}^3}+\Big(\frac{\text{d}^2\text{y}}{\text{dx}^2}\Big)+\frac{\text{dy}}{\text{dx}}+4\text{y}=\sin\text{x}$