Question

Convert r=53sinθ−cosθ to rectangular form.

Enter your answer in slope-intercept form by filling in the boxes. Enter values so that fractions are simplified.

Answer 1

`y = (1)/(3) x + (5)/(3)`

Explanation:

r = 5/(3sinθ-cosθ)

multiply both sides by (3sinθ-cosθ):

r(3sinθ-cosθ) = 5

expand:

3rsinθ-rcosθ = 5

replace rsinθ with y and rcosθ with x:

3y-x = 5

add x to both sides:

3y = x + 5

divide both sides by 3:

y = 1/3x + 5/3

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