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Aleks [24]
3 years ago
10

Cot x sec4x = cot x + 2 tan x + tan3x Is this equation or identity?

Mathematics
2 answers:
lubasha [3.4K]3 years ago
8 0
<span>It is an equation:
here is the proof :
The key to this one is that sec^2(x) = 1 + tan^2(x).
So the left side is </span>
<span>cot(x) (1 + tan^2(x)) (1 + tan^2(x)) </span>
<span>Expanding this term by term you get </span>
<span>cot(x) + 2 cot(x) tan^2(x) + cot(x) tan^4(x), </span>
<span>but since cot(x) tan(x) = 1, that turns into </span>
<span>cot(x) + 2 tan(x) + tan^3(x), </span>
<span>which is the same as the right side.</span>
jeyben [28]3 years ago
7 0

The <em>correct answer</em> is:

An equation.

Explanation:

An equation is a statement that is true for particular values of the variable. An identity, however, is a statement that is true for <em>any</em> values of the variable.

If we use 60° as x, the left hand side of the equation gives us -1.15. The right hand side gives us 4.04. These are not equal, so this cannot be an identity.

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What is the answer to 4•4+4(5-2)+7
Harrizon [31]

Answer:

35

Step-by-step explanation:

4 x 4+4(5-2)+7

4 x 4+4(3)+7

16+12+7

28+7

35

4 0
4 years ago
Help please been stuck on this for a week.
Anettt [7]
They give the formula as:
Surface Area =<span> (2 • <span>π <span>• r²) + (2 • <span>π • r • height)</span></span></span></span>
However the 2*PI*r^2 part of the formula is used to calculate the 2 "ends" of a cylinder.  Since the problem states that you are NOT to count any of surface area of the "ends" then you only need the <span>(2 • <span>π • r • height) part of the formula.
So, r = 3 inches and height = 8 * 3 inches, the side area equals
2 * PI * r * height
2 * 3.14159 * 3 * 24 =
</span></span>
<span> <span> <span> 452.39 cubic inches which is the lateral area.</span></span></span>



6 0
4 years ago
Why is 20 to 40 a 100% increase
Oksi-84 [34.3K]

increasing 20 to 40 is the same as increasing 20 by 20 (or itself), so it is a 100% increase. Decreasing 40 to 20 is the same as decreasing 40 by 1/2 or by 20. So it is a 50% increase.

when going from 20 to 40, the number is being doubled, and when youre going from 40 to 20 you are cutting the number in half. 

hope this helped:)

8 0
3 years ago
11. The figure below is a parallelogram. Find the measure of y.
Drupady [299]

Answer:

y = 129 degrees

Step-by-step explanation:

180 - 51 = 129

8 0
3 years ago
The ratio of boys to girls in the ninth grade is 7 to 9. there are 218 girls set up a proportion to model this information
pentagon [3]

Answer:

24.2

Step-by-step explanation:

7 0
3 years ago
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