```
import numpy as np
np.sin(45)
```

OUTPUT:

`0.8509035245341184`

```
arr= np.array([0,45,90])
np.sin(arr)
```

OUTPUT:

`array([0. , 0.85090352, 0.89399666])`

`np.cos(arr)`

OUTPUT:

`array([ 1. , 0.52532199, -0.44807362])`

`np.tan(arr)`

`np.pi`

OUTPUT:

`3.141592653589793`

```
x = np.array([1, 2, 3, 4])
x
```

OUTPUT:

`array([1, 2, 3, 4])`

```
np.exp(x)
# e=2.718...
```

OUTPUT:

`array([2.71828183e+00, 7.38905610e+00, 2.00855369e+01, 2.20264658e+04])`

```
### 2^1, 2^2, 2^3, 2^4
np.exp2(x)
```

OUTPUT:

`array([ 2., 4., 8., 16.])`

log 5 to base 10

`np.log10(5)`

OUTPUT:

`0.6989700043360189`

log 2 with base 2

`np.log2(2)`

OUTPUT:

`1.0`

log of 3 with base 10

`np.log10(3)`

OUTPUT:

`0.47712125471966244`

```
x = np.arange(1,100)
x
```

OUTPUT:

```
array([ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17,
18, 19, 20, 21,22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34,
35, 36, 37, 38,39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51,
52, 53, 54, 55,56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68,
69, 70, 71, 72,73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85,
86, 87, 88, 89,90, 91, 92, 93, 94, 95, 96, 97, 98, 99])
```

`np.sum(x)`

OUTPUT:

`4950`

```
x = np.arange(1,6)
print("Array is:",x)
print("Accumlate add function:",np.add.accumulate(x))
```

OUTPUT:

`Array is: [1 2 3 4 5]Accumlate add function: [ 1 3 6 10 15]`

```
x = np.arange(1,6)
print("Array is:",x)
print("Accumlate multiply function:",np.multiply.accumulate(x))
```

OUTPUT:

```
Array is: [1 2 3 4 5]
Accumlate multiply function: [ 1 2 6 24 120]
```

```
import numpy as np
a=np.array([[1,7],[2,4]])
b=np.array([[3,3],[5,2]])
print(a)
print(b)
```

OUTPUT:

```
[[1 7]
[2 4]]
[[3 3]
[5 2]]
```

`b.shape`

OUTPUT:

`(2,2)`

`print(np.matmul(a,b))`

OUTPUT:

```
[[38 17]
[26 14]]
```

`print(np.dot(a,b))`

```
[[38 17]
[26 14]]
```

```
vector_a = np.array([2, 3, 4])
vector_b = np.array([1, 5, 6])
np.dot(vector_a, vector_b)
```

41

`vector_a.shape`

(3,)

`vector_b.shape`

(3,)

`np.dot(vector_a, vector_b)`

41

`np.matmul(vector_a, vector_b)`

41

`matrix_b`

OUTPUT:

```
array([[ 7, 8],
[ 9, 10],
[11, 12]])
```

`matrix_a`

OUTPUT:

```
array([[1, 2, 3],
[4, 5, 6]])
```

`np.dot(matrix_a, matrix_b)`

OUTPUT:

```
array([[ 58, 64],
[139, 154]])
```

```
matrix_a = np.array([[1, 2, 3], [4, 5, 6]])
matrix_b = np.array([[7, 8], [9, 10], [11, 12]])
np.matmul(matrix_a, matrix_b)
```

OUTPUT:

```
array([[ 58, 64],
[139, 154]])
```

```
a=np.array([1,1,3,1])
b=np.array([1,2,1,1])
a * b
```

OUTPUT:

`array([1, 2, 3, 1])`

```
a=np.array([[2,0],[0,2]])
a
```

OUTPUT:

```
array([[2, 0],
[0, 2]])
```

`np.linalg.matrix_power(a,3) # matrix multiplication A A`

OUTPUT:

```
array([[8, 0],
[0, 8]])
```

Lesson Assignment

Challenge yourself with our lab assignment and put your skills to test.

```
# Python Program to find the area of triangle
a = 5
b = 6
c = 7
# Uncomment below to take inputs from the user
# a = float(input('Enter first side: '))
# b = float(input('Enter second side: '))
# c = float(input('Enter third side: '))
# calculate the semi-perimeter
s = (a + b + c) / 2
# calculate the area
area = (s*(s-a)*(s-b)*(s-c)) ** 0.5
print('The area of the triangle is %0.2f' %area)
```

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