How could you eliminate y from these equations? cx−sy=2 and sx+cy=1, where c=cos theta, s=sin theta

bucstar11n0h

bucstar11n0h

Answered question

2022-11-11

How could you eliminate y from these equations? c x s y = 2 and s x + c y = 1, where c = cos θ, s = sin θ

Answer & Explanation

partatjar6t9

partatjar6t9

Beginner2022-11-12Added 8 answers

Multiply the first equation by c to obtain: c 2 x s c y = 2 c and the second equation by s to get: s 2 x + s c y = s. Now add the 2 equations term by term to obtain ( c 2 + s 2 ) x = 2 c + s. Using the trigonometric identity sin ( x ) 2 + cos ( x ) 2 = 1 and you see that x=2c+s. Use then one of the original equations, substitute your value for x and see that, after simplification y = c 2 s
x and y are defined θ
Hope this helps.

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