The minimum value of both sine and cosine is -1. However the angles that produce the minimum values are different, for sine and cosine respectively.
The question is, can we find an angle for which the sum of sine and cosine of such angle is less than the sum of values at any other angle.
Here is a procedure, first take a derivative
Then compute critical points of a derivative
.
Then evaluate at .
You will obtain global maxima and global minima respectively.
The answer is .
Hope this helps.
(1.3 x 10^-4) n = (2.6 x 10^12)
n = (2.6 x 10^12) / (1.3 x 10^-4)
n = 2 x 10^16
answer
<span>C. 2x10^16 </span>
Answer:
y = - 9, y = 3
Step-by-step explanation:
Calculate distance d using the distance formula
d =
with (x₁, y₁ ) = (2, - 3) and (x₂, y₂ ) = (10, y)
d =
=
Given distance between points is 10, then
= 10 ( square both sides )
64 + (y + 3)² = 100 ( subtract 64 from both sides )
(y + 3)² = 36 ( take the square root of both sides )
y + 3 = ± = ± 6 ( subtract 3 from both sides )
y = - 3 ± 6 , thus
y = - 3 - 6 = - 9
y = - 3 + 6 = 3