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2 years ago

For what values of θ, −π ≤ θ ≤ π, is y = tan θ undefined?

Mathematics

1 answer:

lapo4ka [179]2 years ago

3 0

Answer:

18%

Step-by-step explanation:

From adjusted gross income of $100,000, subtract the standard deduction of $6,350 and a single personal exemption of $4,050. That makes taxable income equal to $89,600. That amount is just below the upper end of the 25% tax bracket, with the tax calculation amounting to $18,138.75. That works out to an effective tax rate of 18%.

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Natasha_Volkova [10]

290 degrees is your answer :)

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3 years ago

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Use a half-angle identity to find the exact value

Tatiana [17]

Given:

$\cos 15^{\circ}$

To find:

The exact value of cos 15°.

Solution:

$$\cos 15^{\circ}=\cos\frac{ 30^{\circ}}{2}$

Using half-angle identity:

$$\cos \left(\frac{x}{2}\right)=\sqrt{\frac{1+\cos (x)}{2}}$

$$\cos \frac{30^{\circ}}{2}=\sqrt{\frac{1+\cos \left(30^{\circ}\right)}{2}}$

Using the trigonometric identity: $\cos \left(30^{\circ}\right)=\frac{\sqrt{3}}{2}$

$$=\sqrt{\frac{1+\frac{\sqrt{3}}{2}}{2}}$

Let us first solve the fraction in the numerator.

$$=\sqrt{\frac{\frac{2+\sqrt{3}}{2}}{2}}$

Using fraction rule: $\frac{\frac{a}{b} }{c}=\frac{a}{b \cdot c}$

$$=\sqrt{\frac {2+\sqrt{3}}{4}}$

Apply radical rule: $\sqrt[n]{\frac{a}{b}}=\frac{\sqrt[n]{a}}{\sqrt[n]{b}}$

$$=\frac{\sqrt{2+\sqrt{3}}}{\sqrt{4}}$

Using $\sqrt{4} =2$ :

$$=\frac{\sqrt{2+\sqrt{3}}}{2}$

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3 years ago

Calculating the future value of property: Ben Collins plans to buy a house for $220,000. If that real estate is expected to incr

irina1246 [14]

FUTURE VALUE = PRESENT VALUE * (1 + r)^t

PV = 220,000
r = 3%
t = 7 years

FV = 220,000 * (1 + 3%)^7
FV = 220,000 * (1.03)^7
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Ludmilka [50]

For the answer to the question above asking What additional information would you need to prove that ΔABC ≅ ΔDEF by SSS?
The answer to your question is AB = DE & BC = EF, so the only sides missing are AC = DF, 

so Side AC is congruent to side DF is the answer.

I hope my answer helped you. Have a nice day!

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