state the signs of the trigonometric ratios in the four quadrants
Answers
Answer:ine, Cosine and Tangent
The three main functions in trigonometry are Sine, Cosine and Tangent.
triangle showing Opposite, Adjacent and Hypotenuse
They are easy to calculate:
Divide the length of one side of a
right angled triangle by another side
... but we must know which sides!
For an angle θ, the functions are calculated this way:
Sine Function:
sin(θ) = Opposite / Hypotenuse
Cosine Function:
cos(θ) = Adjacent / Hypotenuse
Tangent Function:
tan(θ) = Opposite / Adjacent
Example: What is the sine of 35°?
triangle 2.8 4.0 4.9
Using this triangle (lengths are only to one decimal place):
sin(35°) = Opposite / Hypotenuse = 2.8/4.9 = 0.57...
Cartesian Coordinates
Using Cartesian Coordinates we mark a point on a graph by how far along and how far up it is:
graph with point (12,5)
The point (12,5) is 12 units along, and 5 units up.
Quadrants
Four Quadrants
When we include negative values, the x and y axes divide the space up into 4 pieces:
Quadrants I, II, III and IV
(They are numbered in a counter-clockwise direction)
In Quadrant I both x and y are positive,
in Quadrant II x is negative (y is still positive),
in Quadrant III both x and y are negative, and
in Quadrant IV x is positive again, and y is negative.
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Answer:
Step-by-step explanation:
