Answer:
- sinθ = y/3 ⇒ y(θ) = 3 sinθ
- cosθ = a/3 ⇒ a(θ) = 3 cosθ
- sin β = y/7 = 3 sinθ / 7 ⇒ β(θ) = arcsin (3/7sinθ)
- b(θ) = √(7²-y²) = √(49-9sin²θ)
- p(θ) = a(θ) + b(θ) = 3 cosθ + √(49-9sin²θ)
The graph is attached
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p.s.
b(θ) can be put in different way:
- cos β = b/7 ⇒ b(θ) = 7 cos β = 7cos(arcsin(3/7sinθ))
Then
- p(θ) = a(θ) + b(θ) = 3 cosθ + 7cos(arcsin(3/7sinθ))
This doesn't change the function or the graph
