Answer
See below:
Work Step by Step
Follow the steps given below:
Step 1. Open TI83 calculator.
Step 2. Select MODE. In MODE select RADIAN and POLAR form.
Step 3. Now, select Y=. Type the function in polar form $ r={{1.5}^{\sin \theta }}-2.5\cos 4\theta +{{\sin }^{7}}\frac{\theta }{15}$.
Step 4. Press WINDOW option.
Step 5. In WINDOW set range for x $\left( -8,8 \right)$. Set range for y $\left( -5,5 \right)$.
Step 6. Set the scale for x and y as 1 and $\theta \,\text{, step}\,\text{=}\,\text{0}\text{.1}$.
The graph is similar and symmetric along all the 4 quadrants.
