Step-by-step explanation:
We must prove that
cos²a(csc²a-cot²a) = cos²a
If we look at both sides, we can see that we have cos²a * something = cos²a. Therefore, if we can get that something to equal 1, we have our proof. In this case, that something is csc²a-cot²a. Using this information, we can work from within the parenthesis and go from there.
We can start by expanding the items in the parenthesis. Taking that csc(x) = 1/sin(x) and cot(a) = cos(x)/sin(x), we can say that
cos²a(csc²a-cot²a) = cos²a(1/sin²a - cos²a/sin²a). Because both items in the parenthesis have a denominator of sin²a, we can subtract cos²a from 1 to get
cos²a(1/sin²a - cos²a/sin²a)= cos²a((1-cos²a)/sin²a))
Next, we know that cos²a+sin²a=1, so 1-cos²a = sin²a. Plugging that in, we get
cos²a((1-cos²a)/sin²a)) = cos²a(sin²a/sin²a)
= cos²a(1)
= cos²a
If acr AC is one fifth of the whole circle, angle AOC is 1/5 of 360,
angle ABC is half of angle AOC, so the m∠ABC=36
<span><u>How many grams in a kilogram you ask? Kilograms and grams (kg to g) mass units conversion factor are 1000. To find out how many grams in kilograms, multiply the kilogram value by 1000 or use the converter.</u>
If you need more help I will be glad to help!:D
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Answer:
Step-by-step explanation:
Plot the point (4, -1) in the 4th Quadrant.
The slope (-3/4) tells us what to do next:
With your pencil point initially on (4, -1), move it 4 units to the right, to (8, -1).
With your point initially on (8, -10, move it down 3 units, to (8, -4). Plot (darken) (8, -4).
Draw a line through (4, -1) AND (8, -4)
