Show algebraically where the tangent line of the function r=1+cos theta is vertical and where the tangent is horizontal on the interval (0,2pi). What are the theta values?

Q: Solve the equation for the values of theta between [0,2pi) 2 cos^2 θ - cos θ - 1 = 0

A: Given Data: Equation:  2 cos2 θ - cos θ - 1 = 0 Interval: [0, 2π) Factorise the given equation.…

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Q: Sketch the curve r = 3 sin(2θ)

A: To sketch the curve r = 3 sin(2θ) It's amplitude lies between -3 to 3  At θ = 45°, sin(2θ) =…

Q: Use the quotient rule to show the trigonometric derivative of csc x = -csc x cot x (rewrite csc x in…

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Q: Show that sin(sin-1 v + cos-1 v) = 1.

A: sinsin-1v+cos-1v=1

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Q: Cosecant is the reciprocal function for the Sine function. True False

A: Use the following formulae, to define the trigonometric function.…

Q: Let (7, 2) be a point on the terminal side of 0. - Find the exact values of sin 0, sec, and tan. sin…

A: Step 1: we can use the definitions of trigonometric functions in terms of the coordinates of the…

Q: Let (-4,5) be a point on the terminal side of 0 sin0= sec0= tan0=

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