how many answers are there to the equation: sinx = 1?

Answer 1

Infinite, since the sin function repeats over 2pi intervals.

So the answer is x= pi/2, 5pi/2, 9pi/2, etc.

sin x=1
x=arcsin 1
x= pi/2, 5pi/2, 9pi/2, etc

There is a function Arcsin (instead of arcsin) that would limit this answer to the simplest: pi/2

that is:

sinx=1
x=Arcsin 1
=pi/2

Answer 2

As the sine fuction extends to the left and right, there will be infinitely many places where the function will take on a value of 1. When you use a calculator, it will only give you a reference angle. In this case, the reference angle would be 90 degrees or pi/2.

So, the answer is: pi/2 +/- 2*pi*n for n any integer.

Answer 3

cos^2x+sinx=1 5) sin4x-sin2x=0 6) cosx=1 Solution446. sinx-tanx=0=>4) cos^2x+sinx=1 => 1-sin^2 x+sinx=1 =>sinx^2 x+sinx=0=> Helpfull?

Answer 4

Infinitely many.

In degrees, sin(90) = 1. But then if you go around full circle ie add 360 degrees, you'll have sin (450) =1. And this will continue to work after each additional turn: 810 degrees, 1170 degrees, etc.

In radians, sin (pi/2) = 1. And this will of course also work for each additional turn, worth 2*pi in radians.

A

Answer 5

a million. resolve for x interior the quadratic equation, ( x - 3 ) ( x - 2 ) = 0? ( x - 3 ) = 0 x=3 ( x - 2 ) = 0 x=2 2. resolve for x interior the quadratic equation, ( 3x - 9 ) ( x + 5 ) = 0. ( 3x - 9 ) = 0 3x = 9 x=3 ( x + 5 ) = 0 x=-5

Answer 6

For real angles sin x has maximum value of 1 at,
x= n.pi + [(-1)^n . pi/2]

where n is an integer

Answer 7

There are infinite solutions

x = 90 + 360n , where n is an integer

Answer 8

I believe it is just 1, and the solution would be 0.

Answer 9

it has one ans between 0 and 2 pi that is pi/2
infinitte number of solutions between -inf anf +inf that is n*2i+pi/2

Answer 10

one answer
x = 90 Degrees or Pi/2 Radians in one revolution

But if you consider more than one revolution you will have the angle 5/2Pi, 7/2Pi .....Pi/2 +n2Pi also giving the value one.