Question Function Find the domain Determine if even, odd or neither y∈R Evaluate x=10×4ySeparate the function into parts to determine the domain of each part 40ySolution y∈R Show Solution Solve the equation Solve for x Solve for y x=40y Evaluate x=10×4ySolution x=40y Show Solution Rewrite the equation r=0θ=arctan(401)+kπ,k∈Z Evaluate x=10×4ySimplify x=40yMove the expression to the left side x−40y=0To convert the equation to polar coordinates,substitute x for rcos(θ) and y for rsin(θ) cos(θ)×r−40sin(θ)×r=0Factor the expression (cos(θ)−40sin(θ))r=0Separate into possible cases r=0cos(θ)−40sin(θ)=0Solution More Steps Evaluate cos(θ)−40sin(θ)=0Move the expression to the right side −40sin(θ)=0−cos(θ)Subtract the terms −40sin(θ)=−cos(θ)Divide both sides cos(θ)−40sin(θ)=−1Divide the terms More Steps Evaluate cos(θ)−40sin(θ)Use b−a=−ba=−ba to rewrite the fraction −cos(θ)40sin(θ)Rewrite the expression −40cos−1(θ)sin(θ)Rewrite the expression −40tan(θ) −40tan(θ)=−1Multiply both sides of the equation by −401 −40tan(θ)(−401)=−(−401)Calculate tan(θ)=−(−401)Multiplying or dividing an even number of negative terms equals a positive tan(θ)=401Use the inverse trigonometric function θ=arctan(401)Add the period of kπ,k∈Z to find all solutions θ=arctan(401)+kπ,k∈Z r=0θ=arctan(401)+kπ,k∈Z Show Solution Graph