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LuckyWell [14K]
3 years ago
8

Rewrite with only sin x and cos x. cos 3x

Mathematics
1 answer:
AlladinOne [14]3 years ago
6 0

cos(3x)

cos(2x + x)

cos(2x)cos(x) - sin(2x)sin(x)

[cos²(x) - sin²(x)][cos(x)] - [2sin(x)cos(x)][sin(x)]

cos³(x) - sin²(x)cos(x) - 2sin²(x)cos(x)

cos³(x) - 3sin²(x)cos(x)

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Simplify the expression. Write the answer using scientific notation. 0.3(8.2 x 10^-3)
olchik [2.2K]

Answer:

0.3(8.2 x 10^-3) = 2.46 X 10 ^ -3

Step-by-step explanation:

We need to solve the equation 0.3(8.2 x 10^-3) and write answer in scientific notation.

Solving,

= 0.3(8.2 x 10^-3)

= 0.3 * 0.0082

= 0.00246

Writing in scientific notation

= 2.46 X 10 ^ -3

So, after solving the expression 0.3(8.2 x 10^-3) the result is 2.46 X 10 ^ -3.

8 0
3 years ago
All the 5th graders at Lincoln Elementary School will go on a field trip to the science museum. Counting all the children, teach
user100 [1]

The answer must be a whole number because for example how are you suppose to fit half a child on a bus that can hold 44 people when it already holds that amount.

It will always be a whole number because if there are several left over students they will be put in another bus with more empty seats.

3 0
2 years ago
(5 - 3)⁴ - 2(7) + 8² = ?
Veseljchak [2.6K]

Answer:

66

Step-by-step explanation:

(5 - 3)⁴ - 2(7) + 8²

PEMDAS

Parentheses first

(2)⁴ - 2(7) + 8²

Exponents

16 - 2(7) + 64

Multiply and divide from left to right

16 -14 +64

Add and subtract from left to right

2+64

66

7 0
3 years ago
The some of two consecutive even integers is 170. find the two integers.
Tatiana [17]
2 consecutive even integers : x and x + 2

x + x + 2 = 170
2x + 2 = 170
2x = 170 - 2
2x = 168
x = 168/2
x = 84

x + 2 = 84 + 2 = 86

so ur 2 numbers are 84 and 86
8 0
3 years ago
Picture explains<br> asdasdasd
tamaranim1 [39]

Answer:

  • Yes, AB is tangent

Step-by-step explanation:

The tangent is perpendicular to the radius. The given triangle is right if AB is tangent.

Use Pythagorean to verify

  • 20² = 16² + 12²
  • 400 = 256 + 144
  • 400 = 400

Confirmed

7 0
2 years ago
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