=> The first expression on the left: (1 + tan²)
we know that tangent = sin/cos
so tan² = sin²/cos²
the expression is <u>(1 + sin²/cos²)</u>
=> The second expression on the left: (1 - sin²)
we know that (sin² + cos²) = 1
subtract sin² from each side,
and we have (1 - sin²) = (<u>cos²)</u>
=> Multiply the massaged form of the two expressions:
(1 + tan²) (1 - sin²) = (<u>1 + sin²/cos²)</u> (<u>cos²)</u> = (cos² + sin²) = <em>1 </em>qed
<u> </u>
Answer:
A or D is the answers for the question
Step-by-step explanation:
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9514 1404 393
Answer:
a. set 1: 29 minutes; set 2: 25 minutes
b. set 1 is more challenging than set 2
Step-by-step explanation:
a. The mean is found by adding the times and dividing by the number of times. For set 1, that is ...
(2×27 +2×28 +3×29 +2×30 +33)/10 = 290/10 = 29 . . . minutes
For set 2, that is ...
(4x24 +4×25 +2×27)/10 = 250/10 = 25 . . . minutes
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b. The mean of set 1 is higher, and the spread is wider, suggesting more students have more trouble with the problems of set 1. That is, ...
set 1 is more challenging than set 2
-2x + 6 + 6x = 6 (2x - 3) <em>this is the equation</em>
-2x + 6 + 6x = 12x - 18 <em>distributive property has been applied</em>
4x + 6 = 12x - 18 <em>like terms have been added</em>
6 = 8x -18 <em>4x has been</em><em> </em><em>subtracted from both sides</em>
24 = 8x <em>-18 has been added to both sides</em>
3 = x <em>8 has been divided from both sides</em>
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I hope this helps! Let me know if I need to explain more or if I got something wrong. Have a nice day!
