# SOLUTION: Use rapid sketching techniques to graph r = 4 sin theta. Be sure to show how you arrived at your graph. Only use your calculator to check. Thanks!

Algebra ->  Algebra  -> Exponential-and-logarithmic-functions -> SOLUTION: Use rapid sketching techniques to graph r = 4 sin theta. Be sure to show how you arrived at your graph. Only use your calculator to check. Thanks!      Log On

 Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations! Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

 Algebra: Exponent and logarithm as functions of power Solvers Lessons Answers archive Quiz In Depth

 Question 631548: Use rapid sketching techniques to graph r = 4 sin theta. Be sure to show how you arrived at your graph. Only use your calculator to check. Thanks!Answer by Edwin McCravy(8999)   (Show Source): You can put this solution on YOUR website!```r = 4·sin That is a circle of diameter 4. Since it is sine the very bottom of the circle is at the pole (origin). If it were cosine the pole (origin) would be at the far left side of the circle. That one is easy to change to rectangular form Replace sin@ by r = 4() Multiply both sides by r r² = 4y Change r² to x² + y² x² + y² = 4y x² + y² - 4y = 0 Complete the square by adding 4 to both sides: x² + y² - 4y + 4 = 4 x² + (y - 2)² = 4 Write x as (x - 0) (x - 0)² + (y - 2)² = 2² which is a circle with center (0,2) with radius 2. Edwin```