Trigonometric ratios are characteristics of angles, not of lengths. And, by definition, the corresponding angles an similar triangles have the same measures.
Trig ratios or to give them their proper name are trigonometrical rations applicable to right angle triangles and they are tangent ratio, sine ratio and cosine ratio.
Yes
Ancient Egyptian and Babylonian mathematicians lacked the concept of an angle measure, but they studied the ratios of the sides of similar triangles and discovered some properties of these ratios. The ancient Nubians used a similar methodology.
sin(20) = 0.3420 (approx).
No. An equilibrium constant is derived from the products, powers, and ratios of the activities (essentially the concentrations) of the species that are in equilibrium. Since there is no such thing as a negative concentration, there is no way their products, powers or ratios can yield a negative number.
When a body covers a displacement in the opposite direction of our reference direction then displacement will be negative.
If you define one direction (for example, north) as positive, then the opposite direction is negative.
The 'speed' of a body cannot be negative. But if you are stating the 'velocity' then it can be negative. Negative velocity means it is going opposite to the direction that you decided to call the positive direction.
Why the partical is not moving toward negative x-direction?
Yes - all numbers that can be written as ratios, even negative numbers, are rational numbers.
momentum is a vector quantity and therefore has direction. all vector quantities can have negative direction
A negative current only signifies direction.
The term, 'negative voltage', refers to its direction and has nothing to do with 'negative' in the 'charge' sense. It's used to indicate the direction in which a voltage is acting in relation to another voltage ('positive' if acting in the samedirection; 'negative' if acting in the opposite direction). So your question is confusing: 'negative' in relation to what?
Alternating current varies in magnitude, and reverses direction every half-cycle. When the current is drifting in one direction we allocate it a 'positive' direction; when it reverses direction we allocate it a 'negative' direction. So the positive half-cycle refers to its variation in current during its forward or positive direction and the negative half-cycle refers to its variation in current during its reverse or negative direction.
It is a vector that has the opposite direction to the reference positive direction. (A vector is one point in space relative to another.) Negative vector is the opposite direction
You can consider any direction as positive, and the opposite direction as negative. However, in this case it is customary to call a gain "positive", and a loss "negative".