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Bad White [126]
3 years ago
10

Find cot theta if csc theta = sqrt17/4 and tan theta >0.​

Mathematics
1 answer:
Lorico [155]3 years ago
7 0

Answer:

tan \theta = 4

Step-by-step explanation:

We know that

cosec \theta = \frac{hypotenuse }{opposite }

Given :

cosec \theta =\frac{\sqrt{17}}{4}\\

So 4 is the opposite side of theta.

tan \theta = \frac{opposite}{adjacent}

We use the Pythagorean theorem to find for the adjacent side.

a = \sqrt{17 - 4^2} = \sqrt{17-16} = 1

Therefore, \ tan \theta = \frac{4}{1} = 4

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Darya [45]

Answer:

4 \sqrt{2} i

Step-by-step explanation:

We want to find the sum of

\sqrt{ - 2}  +  \sqrt{ - 18}

We can rewrite this as

\sqrt{ 2 \times  - 1}  +  \sqrt{ 18 \times  - 1}

This becomes;

\sqrt{2}  \times  \sqrt{ - 1}  +  \sqrt{18}  \times  \sqrt{ - 1}

Recall that;

i =  \sqrt{ - 1}

This implies that;

\sqrt{2} i + 3 \sqrt{2} i

Combine like terms:

4 \sqrt{2} i

3 0
3 years ago
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Step-by-step explanation:

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3 years ago
Question #3: Complete the statement below to show the correct value of 100%. Part A: The expression 100 3 = 10 because 100 = 102
BigorU [14]

Answer:

Step-by-step explanation:

Part A.

Expression (100)^{\frac{1}{2}} = 10

Because 100 = (10)^{2} and [(10)^2]^{\frac{1}{2}}=10^1=10

[Since, (a^{2})^{\frac{1}{2}}=a^{2\times \frac{1}{2}}=a^1]

Part B.

When simplified, the answer is RATIONAL.

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6 0
3 years ago
-3(6v-4)+6v=-2(v+3) HOW CAN I SIMPLIFY THIS
ddd [48]
Subtract 12 from each side
so it should look like this
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now add 2v to each side
so it should look like this
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8 0
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Read 2 more answers
A circular dog bed has a
madreJ [45]

Answer:

23 inches

Step-by-step explanation:

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Divide through by 2 × 3.142

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= 23 inches to the nearest inch

3 0
3 years ago
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