Question

Find the value of sin(17π)​

Answer 1

[Refer the attachment for sin graph ]

Answer:

sin (17 π )= ?

☑ value of sin π is zero,

we know, the general solution of

sin theta belongs to nπ

☑ general solution : the solution of trigonometric equation which are generalizeed by using it's periodicity are known as general solution.

because of the periodicity of sintheta, sin repeats it's value zero after a fix interval if the angle is nπ

sin thita = 0 implies, thita = nπ n€z

Therefor sin (17π) = 0

$\boxed{\textbf{\large{sin(17pie)=0}}}$

Answer 2

Answer:

The value of sin(17π) is 0.

Step-by-step explanation:

We know that while finding the degree measure from radian , we multiply the number with 180° .

Here it is given to find the value of sin(17π)

To find the value of sin(17π) , we have to first convert 17π into degree measure.

So the degree measure of 17π is

17*180 = 3060

Now we got sin (17π)=sin3060°

Now simple we find the value of sin(3060°)

To find so we divide 3060 by 90 and we get quotient 34 and remainder 0 .

So sin17π=sin(3060°)= sin(90°*34+0)

As 34 is even , hence we get

sin(17π) = sin 0 °

The value of sin 0° is 0 .

Hence the value of sin(17π) is 0.