Answer:
Step-by-step explanation:
Given
Transformation = Rx-axis
Required
Determine the image
When rule Rx-axis is applied to a point (x,y),
The new coordinate point is (x,-y)
<em>In other words, the y coordinate is negated</em>
So, when rule Rx-axis is applied to
The image of the point is
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