Trigonometric Equations Eliminate B from each pair of equations: x=sinB -3cosB and y=sinB+2cosB I've tried solving this simultaneously just as the textbook has guided me through, but it still doesn't work. My initial working out was moving sinB to the left hand side and everything else to the right and solve simultaneously. But that didn't work out, I must have done something wrong, can someone please help me solve this. Thanks!

Pellagra3d

Pellagra3d

Answered question

2022-10-23

Trigonometric Equations
Eliminate B from each pair of equations:
x = sin B 3 cos B  and  y = sin B + 2 cos B
I've tried solving this simultaneously just as the textbook has guided me through, but it still doesn't work. My initial working out was moving sinB to the left hand side and everything else to the right and solve simultaneously. But that didn't work out, I must have done something wrong, can someone please help me solve this. Thanks!

Answer & Explanation

getrdone07tl

getrdone07tl

Beginner2022-10-24Added 23 answers

HINT:
Solve for sin B , cos B
Then use sin 2 B + cos 2 B = 1

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