Find-the-coordinates-of-2-0-when-the-axes-are-rotated-counterclockwise-through-the-angle-arcsin-4-5-

Question Number 140666 by john_santu last updated on 11/May/21

F i n d t h e c o o r d i n a t e s o f (- 2, 0)

w h e n t h e a x e s a r e r o t a t e d c o u n t e r c l o c k w i s e

t h r o u g h t h e a n g l e \arcsin \frac{4}{5} .

Answered by bemath last updated on 11/May/21

{\begin{cases} x^{'} = x \cos θ - ysin θ \\ y^{'} = xsin θ + ycos θ \end{cases}

{\begin{cases} x^{'} = - 2 (\frac{3}{5}) \\ y = - 2 (\frac{4}{5}) \end{cases} \to (x^{'}, y^{'}) = (- \frac{6}{5}, - \frac{8}{5})

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