Since the hypotenuse (denominator) is always greater than the opposite or adjacent side (numerator), the ratio will always be smaller than one.
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If you know the angle's sine, cosine, or tangent, enter it into the calculator and press <inverse> sine, cosine, or tangent. On MS Calc, in Scientific Mode, using Degrees, enter 0.5, then check Inv and the press sin. You should get 30 degrees. The other functions work similarly.
The negative sine graph and the positive sine graph have opposite signs: when one is negative, the other is positive - by exactly the same amount. The sine function is said to be an odd function. The two graphs for cosine are the same. The cosine function is said to be even.
The Sine ratio is Sine(angle) = opposite side / hypotenuse side. This is written in 'short-hand' as Sin(angle) = o / h Similarly the cosine ratio is Cosine(angle) = adjacent side / hypotenuse side. Cos(angle) = a/h Similarly the tangent ratio is Tangent(angle) = opposite side /adjacent side. Tan(angle) = o/a NB THe sides refer to the sides of a right-angled triangle. NNB The angle referred to is NOT the right angle, but a selected angle from the other two angles.
The trigonometric functions are sine, cosine and tangent along with their reciprocals and the inverses. Whether the angle is acute or obtuse (or reflex) makes no difference).
Cosine (0) = 1 Sin(0) = 0 The sine and cosine curves are two intertwining curves, that complement each other, hence the words 'Sine (Curve) and Cosine ( COmplementary Curve).