Answer:
-3
Step-by-step explanation:
The equation to find this is:
So, plugging the numbers in:
Sin97°cos43°+cos97°sin43°
1 answer:
I added a screenshot with the head of the question
Answer:
sin (140°)
Explanation:
Angle addition formulas are used to express the trigonometric function in terms of the sum/difference between two angles α and β
These rules are shown in the attached image.
Now, the given expression is::
sin97°cos43°+cos97°sin43°We have:
α = 97°
β = 43°
Comparing the given formula with the general formulas in the image, we would find that the given formula represents the sum of the sin of two angles.
Therefore:
sin97°cos43°+cos97°sin43°
= sin (97°+43°)
= sin (140°)
Hope this helps :)
Answer:
sin (140°)
Explanation:
Angle addition formulas are used to express the trigonometric function in terms of the sum/difference between two angles α and β
These rules are shown in the attached image.
Now, the given expression is::
sin97°cos43°+cos97°sin43°We have:
α = 97°
β = 43°
Comparing the given formula with the general formulas in the image, we would find that the given formula represents the sum of the sin of two angles.
Therefore:
sin97°cos43°+cos97°sin43°
= sin (97°+43°)
= sin (140°)
Hope this helps :)
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Answer:
- y = 1/2x +2
- y = -2x +7
Step-by-step explanation:
The slope of a line is the tangent of the angle it makes with the x-axis. The given line has a slope of -1/3, so the lines we want will have slopes of ...
m1 = tan(arctan(-1/3) +45°) = 0.5 . . . . . using a calculator
m2 = tan(arctan(-1/3) -45°) = -2
Of course, these two lines are perpendicular to each other, so their slopes will have a product of -1: (0.5)(-2) = -1.
__
We can use the point-slope form of the equation for a line to write the desired equations:
y = m(x -h) +k . . . . . line with slope m through point (h, k)
<u>Line 1</u>:
y = 1/2(x -2) +3
y = 1/2x +2
<u>Line 2</u>:
y = -2(x -2) +3
y = -2x +7
