For any angle x- 0- - 2-cosec x-1-2-3- for x-

Given: x∈ (0, π)∪ (π, 2π) And we want to find the interval(s) for which cosec x∈[1,2√(3)]. Using the graph of cosec x: Thus, for cosex x∈[1,2√(3)] x∈[π3, 2π ...

You visited us 2 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Mathematics

General Solutions of (sin theta)^2 = (sin alpha)^2 , (cos theta)^2 = (cos alpha)^2 , (tan theta)^2 = (tan alpha)^2

For any angle...

Question

For any angle $x \in (0, π) \cup (π, 2 π),$

$cosec x \in [1, \frac{2}{\sqrt{3}}] for x \in$

(\frac{π}{4}, \frac{3 π}{4}]

No worries! We‘ve got your back. Try BYJU‘S free classes today!

(\frac{π}{6}, \frac{2 π}{3}]

No worries! We‘ve got your back. Try BYJU‘S free classes today!

(\frac{π}{3}, \frac{2 π}{3}]

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is C $(\frac{π}{3}, \frac{2 π}{3}]$
Given: $x \in (0, π) \cup (π, 2 π)$
And we want to find the interval(s) for which $cosec x \in [1, \frac{2}{\sqrt{3}}] .$

Using the graph of $cosec x :$

Thus, for $cosex x \in [1, \frac{2}{\sqrt{3}}]$

$x \in [\frac{π}{3}, \frac{2 π}{3}]$

Suggest Corrections

Similar questions

Q. Let

f : [0, π] \to R

be defined as

f (x) = {\begin{matrix} \begin{matrix} sin x, & if x is irrational and x \in [0, π] {tan}^{3} x, & if x is rational and x \in [0, π] \end{matrix} \end{matrix}

. The number of points in

[0, π]

at which the function

f

is continuous is

?

Q. If

{log}_{(x + 1)} (x^{2} - 2 x) > 0,

then

x \in

Q. The equation

cos θ = x + \frac{P}{x}, x \in R

has a real solution for

θ

, then

Set of values of $x$ in $(0, π)$ satisfying $1 + {log}_{2} sin x + {log}_{2} sin 3 x \geq 0$ is

Q. Let

f (x) = {\begin{matrix} x^{2} ∣ ∣ cos \frac{π}{x} ∣ ∣, x \neq 0 0, x = 0 \end{matrix}

, x \in R .

Then

f

Join BYJU'S Learning Program

For any angle x∈(0,π)∪(π,2π), cosec x∈[1,2√3] for x∈

The correct option is C (π3,2π3]Given: x∈(0,π)∪(π,2π) And we want to find the interval(s) for which cosec x∈[1,2√3]. Using the graph of cosec x: Thus, for cosex x∈[1,2√3] x∈[π3,2π3]

For any angle $x \in (0, π) \cup (π, 2 π),$

$cosec x \in [1, \frac{2}{\sqrt{3}}] for x \in$