Answer:
See proof below
Step-by-step explanation
cot^2(x) - csc^2(x) = -1
In trigonometry identity
cot^2x = cos²x/sin²x
Csc²x = 1/sin²x
Substitute into the original expression
cos²x/sin²x - 1/sin²x
Find the LCM
(Cos²x-1)/sin²x .... *
Recall that sin²x+cos²x = 1
Sin²x = 1-cos²x
-sin²x = -1+cos²x
-sin²x = cos²x-1 .... **
Substitute ** into *
(Cos²x-1)/sin²x
-sin²x/sin²x
= -1 (RHS)
Therefore cot^2(x) - csc^2(x) = -1 (Proved!)
Answer:irst, write the scale factor. Next, write ratios to represent the unknown actual length and width of the display to the scale length and width of the display. Then, write two proportions by setting the two length ratios equal to one another and the two width ratios equal to one another. The given unit is feet
Step-by-step explanation:
The distance of the other points from each other. Since each pair of sides are the same, you can use them to find the fourth vertex
Answer:
20/25=0.8 liters each
Step-by-step explanation:
22 players+3 Coaches= 25 people
These people need to divide 20 liters of water among themselves, so we just use division.
20 divided by 25 equals 0.8 liters/person. Hope you understand. :)
Answer:
The answer is A.
Step-by-step explanation:
Hope this helps!