Isometry means lengths are preserved, and hence shapes must remain congruent.
Any dilation, stretching, etc are therefore excluded.
The transformations on the list that are examples of isometry are therefore:
rotation
translation
reflection
Answer:
A function that is one to one
Step-by-step explanation:
Each input has one output.
The answers are -4 and 3 :)
Answer:
Step-by-step explanation:
I think you have the question incomplete, and that this is the complete question
sin^4a + cos^4a = 1 - 2sin^2a.cos^2a
To do this, we can start my mirroring the equation.
x² + y² = (x + y)² - 2xy,
This helps us break down the power from 4 to 2, so that we have
(sin²a)² + (cos²a)² = (sin²a + cos²a) ² - 2(sin²a) (cos²a)
Recall from identity that
Sin²Φ + cos²Φ = 1, so therefore
(sin²a)² + (cos²a)² = 1² - 2(sin²a) (cos²a)
On expanding the power and the brackets, we find that we have the equation proved.
sin^4a + cos^4a = 1 - 2sin^2a.cos^2a
The quadratic formula is hard to type on this
3 (+ , -) (sqroot of 41)
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