Answer:
see explanation
Step-by-step explanation:
Using the sum/ difference → product formula
cos x - cos y = - 2sin(
)sin (
)
sin x - sin y = 2cos (
)sin (
)
Given
(cosA - cosB)² + (sinA - sinB )²
= [ - 2sin(
)sin(
) ]² + [ 2cos(
)sin(
) ]²
= 4sin² (
)sin² (
) + 4cos² (
)sin² (
)
= 4sin² (
)[ sin² (
) + cos² (
) ← sin²x + cos²x = 1
= 4sin² (
) × 1
= 4sin² (
) = right side ⇒ proven
The formula<span> will be a</span>n<span> = a</span>12n - 1<span> or a</span>n<span> = (1)2</span>n - <span>1</span>
For this case what you should know is that both functions are of the potential type.
We have then that
y = 2 * 2 ^ x This function grows exponentially upwards.
y = -2 * 5 ^ x This function grows exponentially downwards.
Answer See attached graphics.
Answer:
D, E
Step-by-step explanation:
The applicable formula is ...
s = rθ
so, for θ = 1.5, the arc length is 1.5 times the radius. The true statements are ...
D) The length of the arc defined by the angle is 1.5 times longer than the radius.
E) The ratio of arc length to radius is 1.5.
Answer:
18) it is parallel to y axis