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Annette [7]
4 years ago
6

The equation tan^2 x+1=sec^2 x is an identity true or false

Mathematics
1 answer:
Solnce55 [7]4 years ago
8 0

Answer:

tan²x + 1 = sec²x is identity

Step-by-step explanation:

* Lets explain how to find this identity

∵ sin²x + cos²x = 1 ⇒ identity

- Divide both sides by cos²x

∵ sin x ÷ cos x = tan x

∴ sin²x ÷ cos²x = tan²x

- Lets find the second term

∵ cos²x ÷ cos²x = 1

- Remember that the inverse of cos x is sec x

∵ sec x = 1/cos x

∴ sec²x = 1/cos²x

- Lets write the equation

∴ tan²x + 1 = 1/cos²x

∵ 1/cos²x = sec²x

∴ than²x + 1 = sec²x

- So we use the first identity sin²x + cos²x = 1 to prove that

 tan²x + 1 = sec²x

∴ tan²x + 1 = sec²x is identity

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xe^{xsinx}

Step-by-step explanation:xe^{xsinx}

8 0
3 years ago
N bisects MO. MN = 7x - 15, NO = 2x + 5. Find x
mrs_skeptik [129]

Answer:

x = 4

Step-by-step explanation:

I don't see a picture, so I'm assuming that M, N, O are points on a line segment with endpoints M and O.

Point N bisects segment MO, so it's in the middle of that segment.  That means the distance from M to N and the distance from N to O are equal.

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3 years ago
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4 years ago
Find the mean absolute deviation for 78 79 80 80 82 85 90 90 96​
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Step-by-step explanation:

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4 0
3 years ago
Compare and Contrast: Below are two equations. Solve each equation and compare the two solutions. Choose the statement that is t
grin007 [14]
Equation #1:
|2x - 3| = 17
The first solution is
2x - 3 = 17
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x = 10
The second solution is
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The solutions are x = 10 or x = -7.

Equation #2:
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Let us examine the given answers.
a. Equation #1 and #2 have the same number of solutions.
    FALSE
b. Equation @1 has more solutions than Equation #2.
    TRUE
c. Equation #1 has fewer solutions than equation #2.
    FALSE
d. None of the statements a,b, or c apply.
    FALSE

Answer: b.

5 0
3 years ago
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