Using sin(A+B) = sinAcosB + cosAsinB
sin20cos40 + cos20sin40 = sin(20+40) = sin60degree
=
sin20cos40 + cos20sin40 = sin(20+40) = sin60degree
=
An angle measures mc001-1. Jpg radians. What is the degree measure of the angle? 2. 44° 140° 280° 439. 6°.
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The rule represents the translation from the pre-image, ΔABC, to the image, ΔA'B'C' is (x, y) → (x + 7, y - 6).
<h3>What is translation?</h3>When a line is translated, it means the line is moved from one position to another. The coordinate for triangle ABC are A(-3 ,4) , B(-4,1) and C(-2,1).
The coordinate of triangle A'B'C' is A'(4,-2), B'(3,-5), and C'(5,-5).
From above, it can be seen that the image A'B'C' is obtained from the pre-image ABC by translating the vertices of the image by 7 units to the right and 6 units down.
Therefore, the rule represents the translation from the pre-image, ΔABC, to the image, ΔA'B'C' is (x, y) → (x + 7, y - 6)
Hence, the rule represents the translation from the pre-image, ΔABC, to the image, ΔA'B'C' is (x, y) → (x + 7, y - 6).
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If (2, -1, 2, 1) is a linear combination of the three given vectors, then there should exist such that
or equivalently, there should exist a solution to the system
Right away we get , so the system reduces to
Notice that the first equation is the sum of the latter two. The third equation gives us
so that in the second equation,
which in turn gives
and hence the (2, -1, 2, 1) is a linear combination of the given vectors, with