Questions from General Calculus

Q: Prove the identity. sin θ cot θ = cos θ

Prove the identity. sin θ cot θ = cos θ

Q: Prove the identity. (sin x + cos x)

Prove the identity. (sin x + cos x)2 = 1 + sin 2x

Q: Find the length of a circular arc subtended by an angle of

Find the length of a circular arc subtended by an angle of π/12 rad if the radius of the circle is 36 cm.

Q: If a circle has radius 10 cm, find the length of

If a circle has radius 10 cm, find the length of the arc subtended by a central angle of 720.

Q: Draw, in standard position, the angle whose measure is given

Draw, in standard position, the angle whose measure is given.

Q: Use the given graph of f (x) = 1/

Use the given graph of f (x) = 1/x to find a number δ such that if

Q: Draw, in standard position, the angle whose measure is given

Draw, in standard position, the angle whose measure is given.

Q: Find the exact trigonometric ratios for the angle whose radian measure is

Find the exact trigonometric ratios for the angle whose radian measure is given. 3π/4

Q: Find the exact trigonometric ratios for the angle whose radian measure is

Find the exact trigonometric ratios for the angle whose radian measure is given. 4π/3

Q: (a). Find a number δ such that if |x

(a). Find a number δ such that if |x – 2| < δ, then |4x – 8| < ∈, where ∈ = 0.1. (b). Repeat part (a) with ∈ = 0.01.