As given in the figure, points A, B and C are located on the circle with a radius of 1 unit. (The locati of point A is represented as a representation). The area of triangle ABC will be the largest | AC | ar | AB | Find the lengths under derivative information. y

Q: snip

A:

Q: Rose curves are characterized by equations of the form r = a cos (nθ) or r = a sin (nθ), a ≠ 0. If n…

A: Given :           Rose curves are characterised by equations of the form            r = a cosnθ or…

Q: 2 Let PÅ be a tangent line which is tangent to a circle at the point A. Let DC be a secant line…

A: Given: PA  is tangent of a circle. DC is a secant line. P is intersecting point of tangent and…

Q: 16) ST and SR are tangent to Circle C. Find ST. А. 3 x+ 12 В. 7.3 C. 12 4x +9 D. 13

A: Solution:Given    ST=4x+9   and ST=x+12To find length ST:Formula:ST and SR be two tangent of a…

Q: 3.a BC bisects AD. BF is tangent to circle C. Use this information to answer the following…

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

Q: R. 1. Show using similar triangles that tan0 and cot 0 are the respective measures of line segments…

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: 29 In the figure, the tangent to the circle at T cuts a chord AB produced at C. la) Prove that ATBC…

A: This is a problem related to the geometry side. Based on the general formula we will prove and solve…

Q: 25. Rachel and Naomi are given cecle Cand point P below and are asked to construct a line tangent to…

A: This question can be solved using the concept of congruency of triangles.

Q: The curves 71 (t) =(- 4t, ť, – 2t) and 7,(t) = (sin( – 3t), sin(3t), t – T) intersect at the origin.…

A:

Q: o the circle of radius 2 centered at co.2.0) and lying in the (b) plane y=2 - the line through the…

A: Given that

Q: 1. Let F = -yi + xj and let C be the unit circle oriented counterclockwise. (a) Show that F has…

A: When we integrate a vector-valued function over a path, the integral is referred to as the line…

Q: In each diagram, TP is tangent to OCat P. Find the value of x.

A: Given

Q: 11. In the figure, TA is produced to touch the circle at P; TB is produced to touch the circle at Q.…

A: topic - circle and tangents

Q: The graphs of r = a sin nº and r = a cos no, a + 0, are called rose curves. If n is even, the rose…

A: Considering the polar equation of type r=a sin (nθ) and r=a cos (nθwith a≠0.The graph of such…

Q: Consider the following unit Circle -By the definition of the sine function, sin(Ø)= x, -x, y, or -y?…

A:

Q: In y = A tan x, |A| is the factor by which the basic tangent graph will be __________or __________…

A:

Q: 2. In the circle shown below, 3 points UV is a tangent, and UY is a secant. They intersect at point…

A: Consider th figure such that length of tangent UV=8, UY is a secant which intersect the circle at…

Q: The tangent to the function y= csc x at x= π/4 and the x- and y- axes form a triangle. Find the area…

A:

Q: In the figure, line segment BA is tangent to the unit cirdle at A. Also, CF is tangent to the cirde…

A: Given data: The given equation of the circle is x2+y2=1. From the given figure, the radius of the…

Q: 2. QOR is a sector of radius 5 cm and has an arc length of 8 cm. S is a point on OR such that OS=3…

A:

Q: In the figure, QS = 10, RT = 24, and RT Is tangent to radius QR with the point of tangency at R.Find…

A:

Q: Let a and b denote two sides of a triangle and let θ denote the included angle. Suppose that a,…

A: Given: Let a and b denote two sides of a triangle and let θ denote the included angle. Suppose that…

Q: In the figure on the right, xy and xz are tangents from an external point X. 1. Is XY congruent to…

A:

Q: 5. From the figure below, the small circle in the middle is tangent to each other of the three large…

A: Since radius of all three circles is 1, that means all three sides of a bigger triangle are same and…

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

A:

Q: 13 Circle P has tangents XY and ZY and chords WX and WZ, as shown in this figure. The measure of…

A: According to theorem of circle - An angle at the circumference of a circle is half the angle at the…

Q: asap A circle with center O has a radius 4.5. A secant and a tangent line are drawn from an external…

A:

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

A: Please go through the attached solution. I hope that this solution will help you. Thankyou . Best…

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

A:

Q: Find the exact length of the curve. Use a graph to determine the parameter interval. r = cos?(0/2)

A: (1).  The given polar curve is: r=cos2θ2

Q: 8. AB and AD are tangent to circle C. Find x. 2x +7 3x-9 B iU Font Family AA A = E Type here to…

A:

Q: A In cach circle 0, OP is a radius and PT is a tangent segment. Solve for the missing side of the…

A:

Q: Find the length of the curve over the given interval: r=3acos(theta) Interval: [-pi/6,pi/6]

A:

Q: 1. Let the curve C be given E (a) Reparametrize the cur in the direction of inc (b) Give the…

A: Given that the curve C is rt→=32t2,t3. a)It is required to parameterize the curve with respect to…

Q: The equation of the tangent plane to the surfae ye+ = 0 at the point (0,-1, 1) is az+by+cz = Which…

A: Given yexy+z2 = 0    point (0 , -1 , 1)Let f = yexy+z2dfdx= yexy.y ⇒dfdy(0 , -1 , 1)=1dfdy= yexy.x…

Q: An arc PQ of a circle subtends a central angle 0 as in the figure. Let A(0) be the area between the…

A: Since PR is tangent so PR is perpendicular to OP where O is the center.  Thus, PR=r×tanθ2.…

Q: The shape of a hole pored by a drill is a cone surmounted by cylinder. If the cylinder be of height…

A: Consider the following figure. Given tanα=hr. We know that the volume of the cylinder is…

Q: Find the angle of intersection of the following curves r=a(1+sinθ) and r=a(1-sinθ).

A:

Q: In the Figure, CB is a diameter of a circle with a radius of 2 cm and center O, A ABC is a right…

A: Solve for sin a

Q: Find f, and f, and evaluate each at the given point f(x, y) arctan (4, -4) %3D

A: The given function is:  fx, y=arctanyx The point is (4, -4)

Q: 2 Let PÅ be a tangent line which is tangent to a circle at the point A. Let DĆ be a secant line…

A: Solution

Q: 1. Let F = -yi + xj and let C be the unit circle oriented counterclockwise. (a) Show that F has…

A: a.) Let us parametrize C. Since it's a circle of radius 1, r(t)=<cos t, sin t> where 0≤t≤2π…

Q: 10. In the diagram shown below, secant PR and tangent PTU are drawn. It is known that mQR = 85°, mRS…

A: Solve the following

Q: Find the points on the given curve where the tangent line is horizontal or vertical. (Assume 0 <0 <…

A:

Q: Consider point (a, b) on the graph of y = ln x and triangle ABC formed by the tangent line at (a,…

A: Consider, y=lnx Differentiating with respect to x, we get dydx=1x Now slope of the tangent line at…

Q: If C is a circle of radius 3 centered at the point (-4, 2 ), then evaluate £ (2y - eh (=) ) da + (6z…

A:

Q: 1. BC is tangent to circle O at A. mDE = 68° mÁF = 91°. Find a. mEÀ b. mDF %3D E 68° C.MZBAE 910 C F

A:

Q: Determine the width of a petal of the curver = 2 cos(20) (The width is defined to be the videst part…

A: Given curve r = 2cos(2 theta) We have to find the width of a petal of the curve r = 2cos(2theta)

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.