Given:
A figure of a circle and two secants on the circle from the outside of the circle.
To find:
The measure of angle KLM.
Solution:
According to the intersecting secant theorem, if two secant of a circle intersect each other outside the circle, then the angle formed on the intersection is half of the difference between the intercepted arcs.
Using intersecting secant theorem, we get
Multiply both sides by 2.
Isolate the variable x.
Divide both sides by 7.
Now,
Therefore, the measure of angle KLM is 113 degrees.
Confused what the question is. Are you looking for the product or the zeroes?
If you are looking for the product, then:
Use foil to get: sec²(1) - sec²(-csc²) -1(1) -1(-csc²)
= sec² + sec²csc² - 1 + csc²
= sec²csc² + sec² + csc² - 1
= sec²csc² + 1 - 1 (NOTE: sec² + csc² = 1 is an identity)
= sec²csc²
Answer: sec²csc²
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If you are looking for the zeroes, then:
Using the zero product property, set each factor equal to zero and solve.
<u>First factor:</u>
sec²Θ - 1 = 0
sec²Θ = 1
secΘ = 1, -1
remember that secΘ is 
= 1 = -1
cross multiply to get:
cosΘ = 1 cosΘ = -1
use the unit circle (or a calculator) to find that Θ = 0 and π
<u>Second factor:</u>
1 - csc²Θ = 0
1 = csc²Θ
1, -1 = cscΘ
remember that cscΘ is 
= 1 = -1
cross multiply to get:
sinΘ = 1 sinΘ = -1
use the unit circle (or a calculator) to find that Θ = 
and 
Answer: 0, π, ,
<span>If you pull the edges of the right angle down it makes a straight line.
Therefore, the angles in a triangle add up to 180°
So, 35 + 45 = 80
Then, 180 - 80 = 100
The third angle = 100° </span>
The answer is a 8 days. the equation say's at the beginning of the day he read's 50 page's and later read's 14. this is everyday so. add 50+14+64. divide 400 by 64 and you get 7.8125, round that up and you get 8<span />
Since it's y/x, and x is what you input into the function (and y is what you get out), we get that the amount donated is based off of the lunch specials, so we get y(12)/x(60)=12/60=1/5Since it's y/x, and x is what you input into the function (and y is what you get out), we get that the amount donated is based off of the lunch specials, so we get y(12)/x(60)=12/60=1/5.
