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3 years ago

Can someone help please. Due today.

Mathematics

1 answer:

Bingel [31]3 years ago

3 0

just search it up on the internet

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What is the exact value of cos(7pi/8)

Damm [24]

Answer:

cos ( $\frac{7\pi}{8}$ ) = $-\frac{\sqrt{2+\sqrt{2}}}{2}$

Decimal value: −0.9238795325...

Step-by-step explanation:

Write,

cos $\frac{7\pi}{8}$ = cos $(\pi-\frac{\pi}{8})$ = −cos $\frac{\pi }{8}$

Now using half angle formula, cos(x) = 2 cos²( $\frac{\pi }{2}$ ) − 1, we can write cos $\frac{\pi }{4}$ = 2

cos²( $\frac{\pi }{8}$ ) − 1

This means $\frac{1}{\sqrt{2}}$ + 1 = 2 cos²( $\frac{\pi }{8}$ )

2 cos²( $\frac{\pi }{8}$ ) = $\frac{\sqrt{2}+1}{\sqrt{2}}$

cos²( $\frac{\pi }{8}$ ) = $\frac{\sqrt{2}+1}{2\sqrt{2}}$

cos( $\frac{\pi }{8}$ ) = $\sqrt{\frac{\sqrt{2}+1}{2\sqrt{2}}}$

Simplify,

$\sqrt{\frac{\sqrt{2}+1}{2\sqrt{2}}}$ = $\sqrt{\frac{2+\sqrt{2}}{4}$ = $\frac{\sqrt{2+\sqrt{2}}}{2}$

Hence,

cos ( $\frac{7\pi}{8}$ ) = −cos ( $\frac{\pi }{8}$ ) = $-\frac{\sqrt{2+\sqrt{2}}}{2}$

3 0

3 years ago

Read 2 more answers

What equals 62? and what factors equal 62

nexus9112 [7]

The only factors that equal 62 are

62 • 1 = 62
and
31 • 2 = 62.

Hope this helps!

3 0

4 years ago

Read 2 more answers

Compound interest compounded quarterly is given every ______ months. *<br> 1 point<br> 1<br> 3<br> 6

Ipatiy [6.2K]

Answer:

3 months

a quarter is a period of three months

Step-by-step explanation:

7 0

3 years ago

Help help help help !

larisa [96]

Answer:Its D

Step-by-step explanation:

4 0

3 years ago

Cindy bought 1/4 pound of sliced chicken and 7/4 pound of sliced turkey about how did she have in all

yKpoI14uk [10]

Just add the two fractions together 1/4 + 7/4 and you will get 2 so it would be 2 pounds all together

3 0

4 years ago