Find all the values of x such that Find all the values of x such that −3π ≤ x ≤ 3π and sin x = −1 - Mathematics

Find all the values of x such that Find all the values of x such that −3π ≤ x ≤ 3π and sin x = −1

Sum

sin x = −1

⇒ x = `(4"n" - 1), pi/2`, n = 0, ± 1, ± 2, ± 3, 4

shaalaa.com

Some Fundamental Concepts

Is there an error in this question or solution?

Chapter 4: Inverse Trigonometric Functions - Exercise 4.1 [Page 137]

Chapter 4 Inverse Trigonometric Functions
Exercise 4.1 | Q 1. (ii) | Page 137

Find all the values of x such that – 10π ≤ x ≤ 10π and sin x = 0

Find the period and amplitude of y = sin 7x

Find the period and amplitude of y = `- sin(1/3 x)`

Find the period and amplitude of y = 4 sin(– 2x)

Sketch the graph of y = `sin(1/3 x)` for 0 ≤ x ≤ 6π

Find the domain of the following

`f(x) = sin^-1 ((x^2 + 1)/(2x))`

Find the domain of the following

`g(x) = 2sin^-1(2x - 1) - pi/4`

Choose the correct alternative:

`sin^-1(cos x) = pi/2 - x` is valid for

Choose the correct alternative:

If `cot^-1x = (2pi)/5` for some x ∈ R, the value of tan^-1 x is

Choose the correct alternative:

The domain of the function defined by f(x) = `sin^-1 sqrt(x - 1)` is