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tekilochka [14]
3 years ago
8

I need help with this question.​

Mathematics
1 answer:
NISA [10]3 years ago
3 0

Step-by-step explanation:

With what?...........

.....

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Find the measurement indicated in the parallelogram
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Answer:

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2 years ago
Ax+By=C <br> Can you guys solve this please and explain how you did it.
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What variable are you solving for?
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3 years ago
Which of the following is equivalent to tan2θcos(2θ) for all values of θ for which tan2θcos(2θ) is defined?
Aloiza [94]

Answer:

2sin²θ - tan²θ

Step-by-step explanation:

Given

tan²θcos(2θ)

Required

Simplify

We start by simplifying cos(2θ)

cos(2θ) = cos(θ+θ)

From Cosine formula

cos(A+A) = cosAcosA - sinAsinA

cos(A+A) = cos²A - sin²A

By comparison

cos(2θ) = cos(θ+θ)

cos(2θ) = cos²θ - sin²θ ----- equation 1

Recall that cos²θ + sin²θ = 1

Make sin²θ the subject of formula

sin²θ = 1 - cos²θ

Substitute sin²θ = 1 - cos²θ in equation 1

cos(2θ) = cos²θ - (1 - cos²θ)

cos(2θ) = cos²θ - 1 +cos²θ

cos(2θ) = cos²θ + cos²θ - 1

cos(2θ) = 2cos²θ - 1

Substitute 2cos²θ - 1 for cos(2θ) in the given question

tan²θcos(2θ) becomes

tan²θ(2cos²θ - 1)

Open brackets

2cos²θtan²θ - tan²θ

------------------------

Simplify tan²θ

tan²θ = (tanθ)²

Recall that tanθ =  sinθ/cosθ

So, we have

tan²θ = (sinθ/cosθ)²

tan²θ = sin²θ/cos²θ

------------------------

Substitute sin²θ/cos²θ for tan²θ

2cos²θtan²θ - tan²θ becomes

2cos²θ(sin²θ/cos²θ) - tan²θ

Open bracket (cos²θ will cancel out cos²θ) to give

2(sin²θ) - tan²θ

2sin²θ - tan²θ

Hence, the simplification of tan²θcos(2θ) is 2sin²θ - tan²θ

Option E is correct

7 0
2 years ago
You have a large container of olive oil. You have used 25 quarts of oil.
Svetradugi [14.3K]

Step-by-step explanation:

25 plus 25 equal 50 so 50 percent

7 0
2 years ago
Juanita keeps 25% of the profit from her ice cream shop. If the shop makes $750 per month, how much money will Juanita keep?
Luba_88 [7]
25%=.25
.25*750
Of equals multiply in math
Jaunita keeps 187.5
4 0
3 years ago
Read 2 more answers
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