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3 years ago

Ayo help me out!!!!!

Mathematics

1 answer:

Sidana [21]3 years ago

3 0

Answer:

i need that answer to :(

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}$

5 0

3 years ago

Evaluate the expressions and match them to the integers.

alexira [117]

Answer:

See below.

Step-by-step explanation:

-7(6) = -42

-1(-10) = 10

2(-5) = -10

-3(-14) = 42

-32/-4 = 8

-2(-2)(-2) = -8

4 0

3 years ago

Solve the system of equations using substitution. Y= 2x - 10 Y= 4x - 8

Oksana_A [137]

Answer:

Step-by-step explanation:

4x - 8 = 2x - 10

2x - 8 = -10

2x = -2

x = -1

y = 4(-1) - 8 = -4 -8 = -12

(-1, -12)

8 0

2 years ago

Write the expression in expanded form that is equivalent to 3(7d +4e)

pickupchik [31]

Answer:

21+4

Step-by-step explanation:

3 times 7=21

3 times4=12

21d+4e

4 0

3 years ago

Read 2 more answers

Reduce -8 + b2 by 5 + b2. -3 2b² - 3 -13

Eddi Din [679]

-8+b2-(5+b2). Since the - is outside the paranthesis the signs inside change: -8+b2-5-b2. -8-5=-3, b2-b2=0. Your answer: -3 :)

5 0

3 years ago

Read 2 more answers

Ayo help me out!!!!!​

Ayo help me out!!!!!