=> The first expression on the left: (1 + tan²)
we know that tangent = sin/cos
so tan² = sin²/cos²
the expression is <u>(1 + sin²/cos²)</u>
=> The second expression on the left: (1 - sin²)
we know that (sin² + cos²) = 1
subtract sin² from each side,
and we have (1 - sin²) = (<u>cos²)</u>
=> Multiply the massaged form of the two expressions:
(1 + tan²) (1 - sin²) = (<u>1 + sin²/cos²)</u> (<u>cos²)</u> = (cos² + sin²) = <em>1 </em>qed
<u> </u>
The rule is subtracting 86 each time
Answer:
Option (4)
Step-by-step explanation:
To calculate the volume of a pyramid we use the formula,
V = 
Area of the square base = (Side)²
= (6)²
= 36 square ft
Height of the pyramid 'h' = 
[By Pythagoras theorem]
h = 
h = 
h = 4 ft
Therefore, volume of the given pyramid = 
= 48 cubic ft
Option (4). 48 ft³ will be the answer.
There are total of 10 colors to choose.
6 are shades of purple and
4 are not shades of purple.
Tyler selects 5 colors, and exactly 2 are shades of purple. Therefore, the 3 other colors are not shades of purple.
Hey there!!
General formula:
We have:
... (a-b)(a-b)
This could be written as (a-b)²
Hence, the answer is :
<em>... (a-b)² or a²-2ab+b² </em>
<em>Hope my answer helps!</em>
