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pychu [463]
3 years ago
10

Which expression is equivalent to 3/2•3/2•3/2•3/2?

Mathematics
1 answer:
serg [7]3 years ago
5 0

The answer is A) 2/3 ^ 4 power

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(cot theta + cosec theta)/(cosec theta (1 + (cot theta/ cosec theta)).
Margarita [4]

The given expression \dfrac{\frac{cos \theta}{sin \theta}  + \frac{1}{sin\theta} }{\frac{1}{sin \theta} (1+cos \theta)} =1 is true

<h3>Proving trigonometry identity</h3>

Given the expression

\frac{cot \theta + cosec \theta}{cosec \theta(1+\frac{cot \theta}{cosec \theta} )} =1

Note that:

  • cotθ = cosθ/sinθ
  • cosecθ = 1/sinθ

Substituting the given parameters into the formula;

\frac{\frac{cos \theta}{sin \theta}  + \frac{1}{sin\theta} }{\frac{1}{sin \theta} (1+cos \theta)} =1

Find the LCM of both the numerator and denominator

= \dfrac{\frac{cos \theta + 1}{sin \theta} }{(\frac{1+cos \theta}{sin \theta} )}\\

Divide the result to have:

= \frac{1+cos \theta}{sin \theta} \times \frac{sin \theta}{1+cos \theta}\\ = \frac{1}{1}\\ = 1 (Proved)

Learn more on proofs of trigonometry identity here: brainly.com/question/7331447

4 0
3 years ago
Read 2 more answers
Simplify the expression by combining like terms. <br> 22+5m-4m+7n8
solniwko [45]

Answer:

Second Option, m+7n+30

Step-by-step explanation:

First I'd combine the m terms

22+5m-4m+7n-8

     5m-4m

        =1m

22+1m+7n+8

Now the numbers with no variable

22+1m+7n+8

22     +       8

      =30

<em><u>m+7n+30 </u></em>is our final answer

5 0
3 years ago
Read 2 more answers
How do I write 0.632 in expanded word form?
Leno4ka [110]
0.632 in expanded word form is six hundred thirty two thousandths <span />
6 0
4 years ago
Read 2 more answers
How do you solve this problem<br> (2x+8)2=64
asambeis [7]

Answer:

12

Step-by-step explanation:

If (2x+8)2 = 64, then I would solve it by making sure the numbers in the parentheses equal 32. This is because it would get multiplied by 2 after you find the answer and 32 x 2 is 64. So what times 2 is 24? 12. 12 x 2 is 24, plus 8 is 32, and multiply 32 by 2 and you get 64 :) I'm not the best at explaining btw ;-;

7 0
3 years ago
Read 2 more answers
If m∠M=25∘ and ∠M is translated up 7 units and right 8 units to ∠M′, what is the measure of ∠M′?
olga2289 [7]

Answer: 25∘

Step-by-step explanation: I have the same question and it said 25∘ is right because I don't think the angle changes when you are just moving it a few units up down left or right.

8 0
3 years ago
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