Now, the cosecant of θ is -6, or namely -6/1.
however, the cosecant is really the hypotenuse/opposite, but the hypotenuse is never negative, since is just a distance unit from the center of the circle, so in the fraction -6/1, the negative must be the 1, or 6/-1 then.
we know the cosine is positive, and we know the opposite side is -1, or negative, the only happens in the IV quadrant, so θ is in the IV quadrant, now

recall that

therefore, let's just plug that on the remaining ones,

now, let's rationalize the denominator on tangent and secant,
Step-by-step explanation:
) Every positive rational number is greater than 0.
(ii) Every negative rational number is less than 0.
(iii) Every positive rational number is greater than every negative rational number.
(iv) Every rational number represented by a point on the number line is greater than every rational number represented by points on its left.
(v) Every rational number represented by a point on the number line is less than every rational number represented by paints on its right
b
The equation of line is:

Further explanation:
The standard form of equation in point-slope form is:

Given equation is:
3x+2y=10
We have to convert it into point slope form, for which we have to isolate y on one side of equation

Comparing with standard form:
m = -3/2
As the new line is parallel to given line, their slopes will be equal
So,

To find the value of b, putting the given point (4,-5) in equation

Keywords: Point-slope form, equation of line
Learn more about point-slope form of equation at:
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We can write a proportion between short and long legs:

Solving for k yields
