Which reflection rule, if any, can be used to prove that rectangle A(-8, -3), B(-2, -3), C(-2, -6), D(-8, -6) and rectangle A'(8
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Part (c)
We'll use this identity
to say
Similarly,
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The key takeaways here are that
Therefore,
The identity is confirmed.
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Part (d)
Similarly,
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We'll square each equation
and
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Let's compare the results we got.
Now if we add the terms straight down, we end up with on the left side
As for the right side, the sin(A)cos(A) terms cancel out since they add to 0.
Also note how and similarly for the sin^2 terms as well.
The right hand side becomes but that's always equal to 1 (pythagorean trig identity)
This confirms that is an identity