Answer:
Yes, they are equal in the values (in radians):
π/4, 5π/4
If cos(x) and sin(x) are defined to you as nonnegative functions (in terms of lengths), then 3π/4 and 7π/4 are also included
Step-by-step explanation:
Remember that odd multiples of 45° are special angles, with the same sine and cosine values (you can prove this, for example, by considering a right triangle with an angle of 45° and hypotenuse with length 1, and finding the trigonometric ratios).
The radian measure of 45° corresponds to π/4, hence the odd multiples on the interval [0, 2π) are π/4, 3π/4, 5π/4, 7π/4.
If you define sin(x) and cos(x) using the cartesian coordinate system (via unit circle), then cos(3π/4)=-sin(3π/4) and cos(7π/4)=-sin(7π/4). In this case, only π/4 and 5π/4 are valid choices.
Answer: The missing number in the sequence is 
Step-by-step explanation:
Since we have given that
First term = a= 
Common difference = d is given by
Therefore, it forms an arithmetic sequence.
Since, 
is missing,
So,
Hence, the missing number in the sequence is
Step-by-step explanation:
that means the center of the circle is exactly in the middle between the 2 points.
and since both points have the same x value (so, the diameter here is a vertical line), it is ready to get the y value of the middle : (-7 - 0) / 2 = -3.5
so, the coordinates of the center are (3, -3.5).
and that makes the standard circle equation
(x - h)² + (y - k)² = r²
to
(x - 3)² + (y + 3.5)² = 3.5² = 12.25
as h, k are the coordinates of the center, and r is the radius (half the diameter).
8x-2y=12
-2y=-8x+12
y=4x-6
y=4(0)-6
y=-6
(0,-6)
