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Angle of interseection of the curves r=sina+cosa and r=2sina is equal to (a=theta)

Angle of interseection of the curves r=sina+cosa and r=2sina is equal to (a=theta)

Grade:12

1 Answers

Badiuddin askIITians.ismu Expert
147 Points
11 years ago

Dear pallavi

r=sinθ+cosθ      and       r=2sinθ

solve the curve for point of intersection

θ =45   and r =√2 

 

now  curve  r =2sin45

and              r =sinθ+cosθ

                        =√2 sin(θ+45)

                        =√2 sin(90)

clearly the angel between them is  90-45 =45

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