All categories

3 years ago

Simplify without using the calculator or the sin tables.

Mathematics

1 answer:

katovenus [111]3 years ago

7 0

Answer:

1/8

Step-by-step explanation:

sin²(π/8) − cos⁴(3π/8)

Use power reduction formulas:

1/2 (1 − cos(2×π/8)) − 1/8 (3 + 4 cos(2×3π/8) + cos(4×3π/8))

Simplify:

1/2 (1 − cos(π/4)) − 1/8 (3 + 4 cos(3π/4) + cos(3π/2))

1/2 (1 − √2/2) − 1/8 (3 + 4 (-√2/2) + 0)

1/2 − √2/4 − 1/8 (3 − 2√2)

1/2 − √2/4 − 3/8 +√2/4

1/2 − 3/8

1/8

You might be interested in

0.25 + 1 + 4 + 16 + 64 Enter the values used in finding a partial sum.

Deffense [45]

This is a geometric series

r = 4
a1 = 0.25
n = 5

6 0

3 years ago

Read 2 more answers

You have 34 pound of fudge.

butalik [34]

The answer is A I believe

6 0

3 years ago

An archaeologist is categorizing the artifacts he has discovered. Two-thirds of the artifacts are shards of pottery. One-eighth

Reika [66]

Answer:

Personal items=15

Step-by-step explanation:

We are given:

Total number of artifacts = 72.

We are told that 2/3 of total artifacts are shards of pottery.

$\text{Shards of pottery}=72*\frac{2}{3} =24*2=48$

We are also told that 1/8 of total artifacts are tools.

$\text{Tools}=72*\frac{1}{8}=9$

Now we will find out number of personal items by subtracting combined number of shards of pottery and tools from total number of artifacts.

$\text{ Personal items}=72-(48+9)$

$\text{ Personal items}=72-57=15$

Therefore, there are 15 personal items.

8 0

3 years ago

Challenge You buy 3.18 pounds of apples, 1.25 pounds of peaches, and 1.76 pounds of pears.

loris [4]

Answer:

6.19

Step-by-step explanation:

I hope this helps you

6 0

3 years ago

Plzzz help me yall due soon

Inessa [10]

Answer:

the answer is d ur welcome.

4 0

2 years ago

Read 2 more answers

Simplify without using the calculator or the sin tables.​

Simplify without using the calculator or the sin tables.