Is this statement true or false?

the sine of an angle in a right triangle is the ratio of the length of the side adjacent to that angle to the length of the hypotenuse.

The sine of an angle in a right triangle is the ratio of the length of the side adjacent to that angle to the length of the hypotenuse.

FALSE.

Step-by-step explanation:

Given:

Diagram is attached below as

Consider, Δ ABC  a Right Angle Triangle at ∠ C = 90°

AB = Hypotenuse

Solution:

In Right Angle Triangle Δ ABC  , apply sine identity to angle B we get

i.e

The sine of an angle in a right triangle is the ratio of the length of the side OPPOSITE to that angle to the length of the hypotenuse... TRUE

Also For Cosine we have

The Cosine of an angle in a right triangle is the ratio of the length of the side adjacent to that angle to the length of the hypotenuse. ... True

The sine of an angle in a right triangle is the ratio of the length of the side adjacent to that angle to the length of the hypotenuse. ...FALSE

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