Is this polar equation correct?

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Find the area of the region bounded by: $$r=5\cos(10\theta),~~~~~ 0 \leq \theta \leq 2\pi$$

When I did this, I got $\frac{1}{2\sin(20\pi)}-\frac{1}{2\sin(0)}$ getting $0$, is this correct?

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$$ \int_{-\pi/20} ^ {\pi/20} \dfrac12 r^2 d \theta$$

is area of each of 20 rose petals.