The terminal side of angle data goes through point (3,4). Give the value of sin data

What is a terminal side?

Please answer clearly and explain the solution clearly and easy to understand. Thanks!
(guaranteed medal for a good answer)

Question

The terminal side of angle data goes through point (3,4). Give the value of sin data

What is a terminal side?

Please answer clearly and explain the solution clearly and easy to understand. Thanks!
(guaranteed medal for a good answer)

anonymous · Answer

what does angle "data" mean ?

moongazer · Answer

$$\theta$$

anonymous · Answer

I never heard of this term before.

Apparently, you "start" to measure an angle from the "initial" side and "finish" measuring it at the "terminal" side.

So it gives an orientation to the measurement.

anonymous · Answer

ok , i got it the answer is in the attachment. hope it helps you

anonymous · Answer

@mridul1

Are u saying that the terminal side depends on which quadrant u are in (ie depends on a coordinate system)?

anonymous · Answer

the Definition of TERMINAL SIDE

: a straight line that has been rotated around a point on another line to form an angle measured in a clockwise or counterclockwise direction — compare initial side

anonymous · Answer

In my picture which is the terminal side?

anonymous · Answer

its upto you, which line you choose the terminal side and which line you choose the initial or fixed side. as in quadrants the terminal side would have been in the second quadrant if the point through which the terminal side passes was something like (-3,4) and so on. I hope you get my point

anonymous · Answer

So the point of all this is that u measure angles in a coordinate system anticlockwise starting from the positive x-axis, right?

anonymous · Answer

yes absolutely, its the standard assumption so its wise to use it most of the time

anonymous · Answer

Ok, I understand it now.

The way I was taught (long time ago):

Everything is positive in first quadrant and sin, tan and cos are positive in quadrants 2,3 and 4 respectively.

anonymous · Answer

thats the way how i learned too ^^

moongazer · Answer

how did it become 4/5?

anonymous · Answer

He was just giving u as an example.

moongazer · Answer

i am really confused

anonymous · Answer

because sin theta = height/hypotenuse according to the formula

moongazer · Answer

ohh thanks

anonymous · Answer

I prefer opposite over hypotenuse (since either side can be the "height").

anonymous · Answer

SOHCAHTOA, another oldie...

moongazer · Answer

thanks i understand it now

moongazer · Answer

i already know that SOHCAHTOACHOSHACAO

anonymous · Answer

What's the second bit? Does it help u remember which is cosec?

moongazer · Answer

yup

moongazer · Answer

where do we you use that CHOSHACAO ?

moongazer · Answer

cosecant, secant cotangent