Find the equation of the osculating, normal, and rectifying planes for a (t) ( cos t, – sin t, cos t) at t= n. COs

Q: sin(t) %3D 2. %3D

A: Solution - Given - Sint = 32We know that -Sinπ3 = 32Hence,Sint = Sinπ3t = sin-1sinπ3…

Q: sin ;cos T = 6.

A: To find sin-π6=     cosπ=

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: cos u= 4/5. Evaluate sin v

A: Explanation: Given that,                          We know that,                        For angle u,…

Q: Differentiate.  g(t) = t cosect t - cot t

A: To differentiate:      g(t) = t cosect t - cot t We know that --> (cosec x)' = -(cosec x)(cot x)…

Q: Sketch the graph of r = 1–2 cos 0. Find tangents at the pole, all vertical and horizontal tangents.

A: Consider the given equation of graph.

Q: 2- 1- 3一寸

A:

Q: Convert r = 6(sin(0) + cos(0)) to an equation in rectangular coordinates in terms of x and y.

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Q: Find the derivative. p= secg+ csc q CSC q dp OA. = sec q+1 dq dp OB csc c cot c dq dp = sec dq dp…

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Q: sin(t)-cos(t)=cot(t)

A: Given problem is sin(t)-cos(t)=cot(t)

Q: (g) | sin? r cos" r dr. (h) / sin" z dr.

A: (g) Given- ∫sin2xcos3x dx To find- The value of the above integral. Formula Used- cos2x=1-sin2x

Q: y=arctan(-1) "Find for Y in radians"

A:

Q: Find the horizontal and vertical tangent lines of the cardioid r = 11-11 sin(0). (Express numbers in…

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Q: Sketch the curve r= cos 2θ

A: Symmetric test for polar coordinates r=f(θ): If f(θ)=f(-θ) then graph is symmetric about polar…