Write the x and y coordinates of any point on the unit circle in terms of the angle theta corresponding to that point. then write dy and dx in terms of dtheta. Using this, write an integral (in terms of ) for the length of the unit circle.

Q: Use Theorem 1 to derive the formula.

A: Given  ddxsinx=cosxddxcosx=-sinx The trigonometric identity used here is  cot x=cosxsinxcosecx=1sinx…

Q: Sketch r = 3 sin(θ) on a standard x − y coordinate plane. Also, convert this equation to a…

A: Given,  The equation, r = 3 sin(θ)

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Q: Find csc θ if cot θ = −48/55 and sin θ > 0.

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