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
Answer:

Step-by-step explanation:
Given



Reflection across y-axis
Required
Find C'
For reflection across y-axis, the rule is:

So, the image of C is:


Hence:

Answer:

Step-by-step explanation:
Given

Required
Determine the period
A sine function is represented as:

Where

By comparing:
and 

So:

So, we have:



Hence, the period of the function is 
Answer:
Dee won
Step-by-step explanation:
Using < to mean "finished ahead of ", we are given ...
B = 3
D < B
D < C
A < C
D < A
Dee finished ahead of Air, Bart, and Caper, so Dee won the race.
_____
The order of finish must be D, A, B, C.
Answer:
it is 2 and 6 (D)
Step-by-step explanation:
same side , same angle , something like that can help you remember which ones are corresponding