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Studentka2010 [4]
3 years ago
9

Complete the proof of the identity by choosing the Rule that justifies each step.

Mathematics
1 answer:
Sever21 [200]3 years ago
4 0
<h3><u>Answer </u><u>:</u><u>-</u></h3>

( 1 - cos²x ) secx

=> sin²x . secx

Here the rule ( rule 1 ) is the first trigonometric identity [ sin²A + cos²A = 1 ] by simplifying we have , [ 1 - cos²A = sin² ] . So here we substituted 1 - cos²x = sin²x .

=> sin²x [ 1/cosx ]

Here the rule ( rule 2 ) is secx = 1/cosx . So here we substituted secx = 1/cosx .

=> sinx [ sinx/cosx ]

Here the rule ( rule 3 ) is sin²x can be written as sinx . sinx , so we get sinx . sinx [ 1/cosx ] next by simplifying , sinx [ sinx/cosx ].

=> sinx tanx

Here the rule ( rule 4 ) is , in the above we got sinx/cosx and here we know that , sinx/cosx = tanx . So we have tan x .

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One inch is equal to 2.54 centimeters how many centimeters are there no 12 inches
pishuonlain [190]
30.48 centimeters in 12 inches
6 0
3 years ago
Read 2 more answers
Someone help.I'm new<br>i suck at math​.Pleaseweee 50 points?
MrMuchimi

Answer:

45°

Step-by-step explanation:

Let's understand "supplement" and "complement" -- basics of geometry of angles.

  • When we say two angles, a & b, are supplementary, we mean that both ADD up to 180.
  • When we say two angles, a & b, are complementary, we mean that both ADD up to 90.

<em><u>If we have given an angle, such as "x", to find its supplement, we subtract the angle from 180. Similarly, we would need to subtract the angle x from 90 if we were to find the complement of the angle.</u></em>

<em><u /></em>

We want to find complement of 45, so we subtract 45 from 90 to get:

90 - 45 = 45°

Hence, the complement of a 45° angle = 45°

3 0
3 years ago
Peter processed two catering orders at the sandwich shop where he works. The first order was for 7 trays of club sandwiches and
timama [110]
So if one tray of vegetarian sandwiches cost $10, that means that 10 trays of vegetarian sandwiches would cost $100 (10x10)

Going back to the first order, if we know that 10 trays of vegetarian sandwiches costs $100, then we can subtract that from our overall of $149, leaving us with the cost of 7 trays of club sandwiches

$149 - $100 = $49

therefore, $49 is the cost of 7 trays of club sandwiches

to find the cost of 1 tray, we need to divide $49, by 7

$49 / 7 = $7

therefore, one tray of club sandwiches costs $7 and one tray of vegetarian sandwiches costs $10

hope that was helpful :)




4 0
3 years ago
What is the inequality
mezya [45]

Answer:

An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value. a ≠ b says that a is not equal to b. a < b says that a is less than b. a > b says that a is greater than b.

4 0
3 years ago
Please help me out!!!!!!
Anna71 [15]

Volume of a pyramid is (L * w * h) / 3

L=10 and w=10

h can be found by using the Pythagorean theorem:

divide the base by 2 and we get 5. Then we have that the hypotenuse is 13 and the bottom of the right triangle we formed is 5. a= sqrt(c^2-b^2)

a=h=12

we plug these numbers into the formula for the volume of a pyramid and get:

400

3 0
3 years ago
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