Question

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Answer 1

Answer:

sin²∅+ cos²∅= 1  using this formula we get

Step-by-step explanation:

given ,

x= r cos∅

y=r sin∅

to prove x²+y²=r²

L.H.S

=( r cos∅)²+ (r sin∅)²

=r²cos²∅ +r² sin²∅

= r²( sin² ∅ + cos²∅ )     ,  sin²∅+ cos²∅= 1

= r²

hence proved