Question Function Find the domain Determine if even, odd or neither y∈R Evaluate x=ySeparate the function into parts to determine the domain of each part ySolution y∈R Show Solution Solve the equation y=x Evaluate x=ySolution y=x Show Solution Rewrite the equation r=0θ=4π+kπ,k∈Z Evaluate x=yMove the expression to the left side x−y=0To convert the equation to polar coordinates,substitute x for rcos(θ) and y for rsin(θ) cos(θ)×r−sin(θ)×r=0Factor the expression (cos(θ)−sin(θ))r=0Separate into possible cases r=0cos(θ)−sin(θ)=0Solution More Steps Evaluate cos(θ)−sin(θ)=0Move the expression to the right side −sin(θ)=0−cos(θ)Subtract the terms −sin(θ)=−cos(θ)Divide both sides cos(θ)−sin(θ)=−1Divide the terms More Steps Evaluate cos(θ)−sin(θ)Use b−a=−ba=−ba to rewrite the fraction −cos(θ)sin(θ)Rewrite the expression −cos−1(θ)sin(θ)Rewrite the expression −tan(θ) −tan(θ)=−1Multiply both sides of the equation by −1 −tan(θ)(−1)=−(−1)Calculate tan(θ)=−(−1)Multiplying or dividing an even number of negative terms equals a positive tan(θ)=1Use the inverse trigonometric function θ=arctan(1)Calculate θ=4πAdd the period of kπ,k∈Z to find all solutions θ=4π+kπ,k∈Z r=0θ=4π+kπ,k∈Z Show Solution Graph