Answer:
The possible values of x are 90°, 30° and 150°.
Step-by-step explanation:
Given that,
sin(2x) = cos(x) where 0° ≤ x < 180°
We know that, sin(2x) = 2 sinx cosx
2 sinx cosx = cosx
Subtract cosx on both sides
2 sinx cosx - cosx = 0
cosx (2sinx-1)=0
It means, cosx = 0 and (2sin x -1 ) = 0
cos x = cos0 and sinx = 1/2
x = 90° and x = 30°, 150°
Hence, the possible values of x are 90°, 30° and 150°.
Simplify the radical by breaking down the radicand up into a product of known factors.
1.6i
Answer:
A. 4x + 2y = 8
Step-by-step explanation:
The slope is -2/1 and the y-intercept is at (0,4). If you start at (0,4), go <u>down</u><u> </u><u>2</u><u> </u><u>units</u><u> </u><u>and</u><u> </u><u>1</u><u> </u><u>unit</u><u> </u><u>right</u>.
A mathematical statement that two expressions are equal. SIMPLIFY. to write an expression in a simpler form. FORMULA. An <span>equation that shows a relationship among certain quantities</span>
Answer:
r = 4
Step-by-step explanation:
side of square is the same as the diameter of the circle
if diameter is 8 then radius is 4
