Question

show that modulus of costheta - i sintheta eequals to 1​

Answer 1

R.T.P: Modulus of cosθ-isinθ is 1

We know that modulus of x+iy is √(x²+y²)

similarly , modulus of cosθ-isinθ is

√(cos²θ+sin²θ

=√1              [since,sin²θ+cos²θ=1 , which is an identity]

=1

Hence proved.

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