If tanθ = x/yfind the value of x sin θ + y cos θ.
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Step-by-step explanation:
tan@=x/y
By Pythagoras theorem ,
sin@=x/(x^2+y^2)
cos@=y/(x^2+y^2)
Now, xsin@ + ycos @= x^2/√(x^2+y^2)+y^2/(√x^2+y^2)=√(x^2+y^2).
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