show that r = cos 2θ is symmetrical with respect to the horizontal axis.

Q: Determine the corresponding reciprocal ratio that corresponds to cos e= 0.8. 5 sec e= 4 c. sec e= a.…

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Use the figure to find the values of the trigonometric functions at t =π.

A: The x-coordinate of any point on the unit circle represent cosine value and y-coordinate represents…

Q: If y = cos?(3x), then : dr %3D II

A: Given, y = cos23x  We have to find the value of dydx

Q: Find cos(0) where is the angle between u = cos(8) 1/9 2 (3) and y () 4 v Your last answer was…

A:

Q: Use the figure to write the expression "cos y "in algebraic form given              y = arccos x,…

A: First we need to find the trigonometric expression of tan y. From the data given y=cos-1(x) If y =…

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

A:

Q: Find cos A when sing 12 and A is in the second quadrant. %3D 5/13 -5/12 -5/13

A: We have, sinθ = 1213,  θ is in the second quadrant To evaluate: The value of cosθ.

Q: If cos A with A in QIV , find sec %3D a. sec | b. sec 2. с. sec A d. sec 4-5 %3D A sec e. A2 1/2 II…

A: Since you are asking multiple questions. We are answering only the first question. Given, cosA=18…

Q: Graph the cardioid r = a(1+ sin®), a< 0?

A: We are given that r=a(1+sin∅), a&lt;0 Here as we know that sin∅ is always greater than equal to -1.…

Q: Suppose r(t) = (et cos t)i + (et sin t)j. Show that the angle between r and a never changes. What is…

A: Given information:

Q: Find a rectangular form of the equation. r(7 cos 0 + sin 0) = 4

A: To convert a polar form to rectangular form the following formulae are used.

Q: Show that the curves r = a sin θ and r =  a cos θ intersectat right angles.

A:

Q: The area of one lobe of r = 3 sin(40) is

A: Given: The equation of one lobe is, r2=3sin4θ

Q: Graph the limaçon. Cardioids r = -1 + sin u

A: Given- r=-1+sinu To Draw- The graph of the above equation of the limaçon.

Q: Consider right triangle ADEF below. E F D Which expressions are equivalent to cos(ZE)?

A:

Q: Find the velocity, speed, and acceleration of 7(t) = ( cos(3t), sin(3t), t² + 2t ) CoS

A:

Q: Let ZD be an acute angle such that cos D = 0.33. Use a calculator to approximate the m m/D

A:

Q: From the information given, find the quadrant in which the terminal point determined by t lies.…

A: The solution are next step

Q: For (a), how did cot y become tan y?

A: a). given  dydx=cotx cotydy= (cotx coty)dx1cotydy=cotx dx integrating on both sides we get…

Q: sketch r= la 2 Sin'(o+)

A: Given r=1-2sin2θ+π3 Let us sketch the figure. Taken 0≤θ≤12π

Q: Eliminate the parameter t but do not graph.   x =sin t, y = cos 2t

A: We have to eliminate the parameter t for the given condition: x=sin t, y=cos 2t We know the…

Q: 01: Find the angle (y) between the tangents lines of the line r = 3 sec 0 and the cardioid r = 4(1 +…

A: Solution is given below:

Q: Use Figure 22 to find all angles between 0 and 2π satisfying the given conditions.

A:

Q: When the axes are related through an angle a,Find the transformed equation of X cos a +y sin a =p

A: Given: The equation is  xcosa+ysina=p

Q: real

A:

Q: Find the y" if y = e/?cosx

A:

Q: A right triangle has a hypotenuse of length 1 and an angle a. Establish a relation between cos a and…

A:

Q: find dp/dq p =sin q + cos q/cos q

A:

Q: From the information given, find the quadrant in which the terminal point determined byt lies. Input…

A:

Q: Find the angle between two lines having slopes of 1, and 1/2 respectively. (A) sin (B cos (c) sec D…

A: In this question, we need to find the angle between two lines having slopes 1 and 1/2 respectively.

Q: : When the axes are retated through an angle a, Find the transformed equation of x cos a + y sin a…

A: When the axes are rotated through an angle a then we have to  find the transformed equation for the…

Q: Find the left most point on the upper half of the cardioid r=1+cos(theta)

A: we need to find leftmost point on the upper half of the cardioid r = 1 + cos(theta) by plotting in…

Q: sketch r= la 2 Sin'co+)

A: r=1-2sin2(θ+π3)

Q: The area of one lobe of r = 5 sin(20) is

A: to find the area

Q: What are the properties of y = cosθ and y = sinθ

A:

Q: If cos t 3 and t is in the 3rd quadrant, then cot t = 9 V72 V72 3 V72 9 V72 3 3 V72

A:

Q: find the slope of the tangent line to r =8 sin(\theta ) at \theta =\pi /6

A:

Q: Given cos x sin x < 0; tan y = sec y < 0, find sin(x+y)

A:

Q: Find the angle in radians between the planes -2x + z = 1 and -ly+ z = 1.

A: See the answer below

Q: From the information given, find the quadrant in which the terminal point determined byt lies. Input…

A: (a).    The sine function is negative in third and forth quadrant.   The cosine function is negative…

Q: Evaluate * cos (e + a?) dx 24 +1

A: To find: The integral ∫44cose3x+x2x4+1dx Concept used: ∫aaf(x)dx=0

Q: (b) /(cos æ)* sin a da

A:

Q: Eliminate the parameter t and graph the resulting equation.   x = 3 + 2 sin t, y = 1 + 2 cos t

A: Given  x=3+2sint, y=1+2cost⇒sint=x-32.........(1)cost=y-12.............(2)

Q: Find tan theta if theta  is the angle formed by the line y = mx and the positive x-axis

A: We need to find tanθ for the given equation of line