Sine= Opposite/ Hypotenuse Cosine= Adjacent/ Hypotenuse
You can use the sine, cosine, or tangent. The sine is if the angle has the opposite or hypotenuse. The Cosine is opposite and hypotenuse and Tangent is adjacent and opposite.
Use the appropriate sine or cosine ratio.
By using the trigonometric ratios of Sine and Cosine. The diagonal forms the hypotenuse of a right angled triangle with the length and width of the rectangle forming the other two sides of the triangle - the adjacent and opposite sides to the angle. Then: sine = opposite/hypotenuse → opposite = hypotenuse x sine(angle) cosine = adjacent/hypotenuse → adjacent = hypotenuse x cosine(angle)
One is the hypotenuse times the sine of one acute angle, the other, the hypotenuse times the sine of the other acute angle (or the cosine of the first).
For finding the angles in a right angled triangle the ratios are: sine = opposite divided by the hypotenuse cosine = adjacent divided by the hypotenuse tangent = opposite divided by the adjacent
Because that is accepted definition. The sine is opposite over hypotenuse, or Y in the unit circle. The cosine is adjacent over hypotenuse, or X in the unit circle. The tangent is sine over cosine, etc. For more information, please see the related link below.
Sine allows us to find out what a third side or an angle is using the equation sin(x) = opposite over hypotenuse (x being the angle). Cosine has the same function but instead uses the equation cosine(x)= opposite over adjacent
Sohcahtoa is an abbreviation (SOH) sine opposite hypotenuse (CAH) cosine adjacent hypotenuse (TOA) tangent opposite adjacent.
The sine and the cosine of an angle are both (the leg of a right triangle) divided by (the hypotenuse of the same triangle). The leg can't be longer than the hypotenuse, so this fraction can't be more than ' 1 '.
Sine = -0.5 Cosine = -0.866 Tangent = 0.577