2cos theta = 1 -> cos theta = 1/2
Then theta = pi/3 + 2npi or -pi/3 + 2npi, where n is random interger
And the domain is restricted in [0,2pi]
So answer will be pi/3 or 5pi/3
Answer:
It's B. f(x) = (x + 3(^2 + 1.
Step-by-step explanation:
f(x) ---- > f(x + 3) is a translation of 3 units to the left.
Answer:
When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is transformed into its opposite. When working with the graph of y = f (x), replace x with -x. Reflection in y = x: When you reflect a point across the line y = x, the x-coordinate and the y-coordinate change places.
Answer:
392.5 in²
Step-by-step explanation:
This figure is consists of a trapezium and a rectangle.
So, to find the total area of the figure you have to find the area of the trapezium and the rectangle separately and add them together.
Let us find now.
<u>Area of the Trapezium</u>
Area =
× ( sum of the parallel sides ) × height
Area =
× ( 9 + 20 ) × 5
Area =
× 29 × 5
Area =
× 145
Area = 72.5 in²
<u>Area of the rectangle</u>
Area = Length × Width
Area = 20 × 16
Area = 320 in²
<u>Total area of the figure</u>
Total area = Area of the trapezium + Area of the rectangle
Total area = 72.5 in² + 320 in²
Total area = 392.5 in²
Hope this helps you :-)
Let me know if you have any other questions :-)