Combine like terms to create an equivalent expression. -5.8c+4.2-3.1+1.4c−5.8c+4.2−3.1+1.4c
2 answers:
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Answer:
- sin(x) = 1
- cos(x) = 0
- cot(x) = 0
- csc(x) = 1
- sec(x) = undefined
Step-by-step explanation:
The tangent function can be considered to be the ratio of the sine and cosine functions:
tan(x) = sin(x)/cos(x)
It will be undefined where cos(x) = 0. The values of x where that occurs are odd multiples of π. The smallest such multiple is x=π/2. The value of the sine function there is positive: sin(π/2) = 1.
The corresponding trig function values are ...
tan(x) = undefined (where sin(x) >0)
sin(x) = 1
cos(x) = 0
__
And the reciprocal function values at x=π/2 are ...
cot(x) = 0 . . . . . . 1/tan(x)
csc(x) = 1 . . . . . . .1/sin(x)
sec(x) = undefined . . . . . 1/cos(x)
Answer:
y-intercept: (0,6)
slope = -2
equation: y = -2x + 6
Step-by-step explanation:
1) First, identify the y-intercept. The y-intercept is the point at which the line intersects the y-axis. We can see that the line crosses the y-axis at (0,6), so that must be it.
2) Now, find the slope. Pick two points from the line. I chose (0,6) and (3,0). Then, substitute the two points' x and y values into the slope formula and solve:
So, the slope is -2.
3) With the found information, use the slope-intercept formula to write the line's equation. Substitute values for the
and
.
represents the slope, so substitute -2 in its place.
represents the y-intercept, so substitute 6 in its place. This gives the following equation: