CameraIcon

SearchIcon

MyQuestionIcon

326

You visited us 326 times! Enjoying our articles? Unlock Full Access!

Range of Trigonometric Expressions

The range of ...

Question

The range of $f (x) = \frac{1}{5 sin x - 6}$ is

A

(- \infty, \infty)

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

B

[- 1, 1]

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

C

[- 1, 11]

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

D

[- 1, - \frac{1}{11}]

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

Open in App

Solution

The correct option is D $[- 1, - \frac{1}{11}]$
$- 1 \leq sin x \leq 1$
$- 5 \leq 5 sin x \leq 5$
$- 11 \leq 5 sin x - 6 \leq - 1$
$- 1 \leq \frac{1}{5 sin x - 6} \leq - \frac{1}{11}$
$- 1 \leq f (x) \leq - \frac{1}{11}$

Suggest Corrections

thumbs-up

2

Similar questions

Q. The range of

f (x) = \frac{1}{1 - 2 \cos x}

is

(a) [1/3, 1] (b) [−1, 1/3] (c) (−∞, −1) ∪ [1/3, ∞) (d) [−1/3, 1]

Q. Range of the function

f (x) = \frac{x^{2} + x + 2}{x^{2} + x + 1}; x ϵ R

$Range of the function f(x) = \frac{x^{2} + x + 2}{x^{2} + x + 1}; x ϵ R i s$

Q. Range of the function

f (x) = \frac{x^{2} + x + 2}{x^{2} + x + 1}; x ϵ R

Q. The range of

f (x) = \frac{1}{5 sin x - 6} ϵ [- a, - 1 / b]

a + b

View More

Join BYJU'S Learning Program

explore_more_icon

Explore more

Range of Trigonometric Expressions

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon