=> 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 trapezoid's area is 126 inch².
Step-by-step explanation:
Step 1:
The trapezoid's area is calculated by averaging the base lengths and multiplying it with the trapezoid's height.
The trapezoid's area, 
.
Here 
is the lower base and 
is the upper base, height is h.
Step 2:
In the given diagram,
inches and 
inches and h = 9 inches.
inch².
So the given trapezoid's area is 126 inch².
Answer:
6x+2y=8
Step-by-step explanation:
We can multiply both sides of the equation by 3 to get 6x+2y=8.
(Note there is more than one possible answer, you could've multiplied both sides by any number.)
