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Chapter 6: Q.95 (page 396)

What is the domain of the sine function?

Short Answer

Expert verified

Set of real numbers is the domain of sine function

Step by step solution

01

Given information

We are given a sine function

02

Explanation

As $y = \sin (θ)$ and the function exist for all real values of $θ$ . Hence the domain of the function is set of all real numbers

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Most popular questions from this chapter

Pulleys Two pulleys, one with radius $r_{1}$ and the other with radius $r_{2}$ , are connected by a belt. The pulley with radius $r_{1}$ rotates at $v_{1}$ revolutions per minute, whereas the pulley with

radius $r_{2}$ rotates at $v_{2}$ revolutions per minute. Show thatrole="math" localid="1646296862603" $\frac{r_{1}}{r_{2}} = \frac{ω_{1}}{ω_{2}}$

Convert each angle in degrees to radians. Express your answer as a multiple of $π$ .

$240 °$

Use the graph of the function to determine the domain and the range of function

$y = c s c (\frac{3 π}{2} x)$

find the value of the remaining five trigonometric functions of

$\tan ϑ = \frac{- 12}{5} π / 2 < ϑ < π$

In Problem $85 a n d 86$ graph each of the function

$g (x) = \{\begin{cases} 2 \sin x i f 0 \leq x \leq π \\ \cos x + 1 i f π < x \leq 2 π \end{cases}$

See all solutions

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