Math, asked by omsamarth4315, 10 months ago

prove sin90=1.....nd enjoy 50 pts....nd follow me ​

Answers

Answered by priya9531
2

hello!

So if you want to know what sin(90 degrees) is check the y- coordinate when the angle is 90, well since the radius of the circle is 1, this implies that sin90 is 1. So you don't really have to prove that sin 90 is 1, it is actually defined like that!

hope it helps...♥️

Answered by AdorableMe
39

Sine is the ratio of the length of the side opposite the angle divided by the length of the hypotenuse.

Consider a right triangle of sides x (adjacent to the angle) and y (opposite the angle). The hypotenuse length of d is found by d² = x² + y². For the angle to be 90 degrees, d² = y² or d = |y|. We generally consider the angle to run from 0 degrees (x positive, y = 0) to 90 degrees (x =0, y positive) to 180 degrees (x negative, y = 0), to 270 degrees (x = 0, y negative) to 360 degrees which is just 0 degrees. So, with 90 degrees, y is positive.

d = y. sin(90) = y/d = 1.

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