Answer:
Step-by-step explanation:
2/cos^2(theta) - sin^2(theta)/cos^(theta) = p
(2 - sin^2(theta) ) / cos^2(theta) = p
cos^2(theta) = 1 - sin^2(theta) Relationship between sines and cosines
2 - sin^2(theta)/ (1 - sin^2(theta) ) = p Everything is now in terms of sines
sin^2 (theta) = 1 / csc ^2 (theta) sin^(theta) = 1/csc(theta)
2 - 1/csc^2(theta) Make Left over csc(theta)
============== = p
1 - 1/csc^2(theta)
2 csc^2(theta) - 1
------------------------
csc^2(theta)
================ = p Cancel out denominators (csc^2(theta))
csc(theta) - 1
-------------------
csc^2(theta)
2 csc^2 (theta) - 1
=============== = p Multiply both sides by csc^2(theta) - 1
csc^2(theta) - 1
2csc^2(theta) - 1 = p*csc^2(theta) - p Collect csc^2(theta) on the left, p on the right.
csc^2(theta) (2 - p) = 1 - p
csc^2(theta) = (1 - p)/(2 - p)
Answer:
B
Step-by-step explanation:
Answer:
= 3.1
= 2.6
= 4.5
= 3.3
Order from least to greatest:
The <em>cost of the jacket</em> purchased using the <em>System of equation</em> is $46.16
<u>Given the cost prices</u> :
- Total cost = $95.11
- Cost of shoes = x
- Cost of jacket = x - 2.79
<u>We could set up an equation relating the cost of each item to the total Cost : </u>
<em>Total cost = cost of jacket + cost of shoes</em>
95.11 = x - 2.79 + x
95.11 = 2x - 2.79
95.11 + 2.79 = 2x
97.90 = 2x
x = 97.90 / 2
x = 48.95
Cost of jacket = $48.95 - 2.79 = $46.16
Therefore, Cost of jacket is $46.16
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