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3 years ago

Please answer ASAP pic below

Mathematics

1 answer:

Leto [7]3 years ago

4 0

Answer:c

Step-by-step explanation:

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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}$

$$\cos 15^\circ=\frac{\sqrt{2+\sqrt{3}}}{2}$

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4 years ago

The median price, P, of a home rose from 80$ thousand in 1980 to 240$ thousand in 2000. Let t be the number of years since 1980.

Elena L [17]

Answer:

Step-by-step explanation:

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3 years ago

Carlos has 10 more dollars and Jeremy Jeremy has $5 more than the show all together they have $80 what part of 80 does Michelle

blsea [12.9K]

She would have 60 dollars.

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3 years ago

4<br> 74<br> Solve the inequality 2(4x + 1) <3(2x - 3)

Katena32 [7]

Step-by-step explanation:

2(4x + 1) < 3(2x - 3)

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3 years ago

Which of the following expressions describes the solution to -2x < -10

larisa [96]

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4 years ago