c) y = sin-1 d) y = V2 = arccos

Q: What is the Length of the arc of the circle r = sin θ that remains outside of the cardioid r = 1 —…

A: Arc lenght in polar curves: The formula to find the arc length is, Arc length=∫θ1θ2dxdθ2+dydθ2dθ…

Q: If an angle of a sector is held constant, but the radius is doubled, how will the arc length of the…

A: Consider the circle with radius r and that subtends an angle θ at center of the circle.

Q: The diagram shows a sector of a circle of radius 4 units, formed from an angle of size 2.22 radians.…

A: Given,          The diagram shows a sector of a circle o radius 4 units, formed from an angle…

Q: In the diagram below, tangent DA and secant DBC are drawn to circle O from external point D. such…

A: If a tangent and a secant are drawn to a circle from an exterior point to the circle, then the angle…

Q: VTO 10 and Consider an angle with sin 0 = cos 0 = 10 310 %3D - What point on the unit circle…

A: Point on unit circle is given.

Q: denotes the length of the arc of a circle of radius r subtended by the central angle u. Find the…

A: In this question, s denotes the length of the arc( part of the perimeter of the circle) of a circle.…

Q: Given that sec(θ)>0 and sin(θ)<0, in which quadrant does θ lie?

A: We know that all trigonometric ratios are positive in 1st quadrant .

Q: 2. A tunnel with an elliptical cross-section is built over the highway. The length and height of the…

A:

Q: Sketch a triangle that has acute angle 0. 40 cos(0) %3D 41

A:

Q: Given the angle 0 shown in this right triangle: 2 compute the exact value of each quantity: sin(0)…

A:

Q: Derive the formula cos(a)=cos(b)cos(c)+sin(b)sin(c)cos(A) for an arbitrary spherical triangle with…

A:

Q: Find the exact length of the arc intercepted by a central angle 8 on a circle of radius r. Then…

A:

Q: Find tan 0, where 0 is the angle shown. Give an exact value, not a decimal approximation. 8.

A: We can use Pythagoras theorem and the equation, Tan x = opposite side/ adjacent side.

Q: Find the arc length along a circle of radius 16 units subtened by an angle of 7pi/4 radians. Do not…

A:

Q: A denotes the area of the sector of a circle of radius r formed by the central angle 0, find the…

A: Given is circle with the given information   radiusr=16 feetArea of sectorA=71 square feet It is…

Q: Find the area of the part of the circle r = 8 sin 0 + cos 0 in the fourth quadrant . Answer :

A:

Q: A laser beam is to be directed toward the center of the moon, but the beam strays 0.5degree from its…

A:

Q: denotes the length of the arc of a circle of radius r subtended by the central angle u. Find the…

A:

Q: Consider the length h of the perpendicular from point B to side b in the given triangle. Show that b…

A: From the given figure, let the perpendicular from point B meets the side AC at D.

Q: Determine the length of the arc (in radian measure) and the measure of the angle (in radian and…

A: 1)  When the point starts rotation along the circumference of a unit circle from the point 1,0 and…

Q: 2. Give the values of the six circular functions of the standard angle 0 generated by an arc whose…

A: I have solved the question 2 for you as we can solve one question in one session. f you want the…

Q: Denotes the length of the arc of a circle of radius r subtended by the central angle u. Find the…

A: Given that, r=6 ft and u=2 radians. The objective is to find the length of the arc of a circle, s.…

Q: Find the measure of the arc indicated. Assume that lines which appear tangent are tangent. 226 ° U S…

A: We have to find the measure of the arc indicated in the given figure.and which option is correct

Q: of the negioa cut from the first Find the area quadrant by the regisn r= I+ Sin@ ?

A:

Q: 2. ind the length of an arc of the cycloid given by, x = a(0 + sin0), y = a(1 + cos0), Ar

A:

Q: the law of sine for plane triangles given by All of the above is true .I O sina/a sine/b sinø/c .I O…

A: In this question we have to choose the law of sine of plane triangles

Q: The arc measure of UA is (3z +1).The measure of ADU is (22a - 16). What is the numerical value of…

A:

Q: ind the length of the arc formed by x2 5y3 from point A to point B, where A = (0,0) and B = (25, 5).

A: Solution: The objective is to find the arc length

Q: Denotes the length of the arc of a circle of radius r subtended by the central angle u. Find the…

A: r=10 meters  &amp;  θ=12 radians

Q: Find sin 0, where 0 is the angle shown. Give an exact value, not a decimal approximation.

A: Given,           A triangle is shown below :

Q: What is the definition and formula for arc length?

A: The arc length is the measure of the distance along an arc in a circle. The length of arc is…

Q: 13 Given : tau e = u and ☺ B in Qundrant I. Show that Sin O %3D VItu?

A: Given: To show: Graph:

Q: If y = cos*[sec? (30)], and (0 =) y will be equal to?

A:

Q: Find tan 0, where 0 is the angle shown. Give an exact value, not a decimal approximation.

A: This is a right triangle with one of the angle 900 in which , Perpendicular= 12 and Hypotenuse= 13…

Q: Given that sin (x) dx -TT, what is 8. sin (0) de? %3D

A:

Q: In APQR, the measure of ZR=90°, QP = 73, RQ = 55, and PR = 48. What is the value of the sine of ZP…

A: Given angle R=90° QP=73 RQ=55 And PR=48

Q: A pendulum of length 100.10 in., located at a point at sea level where the radius of the earth is R…

A:

Q: HeW Sketchthe follawing curver andidentifyte symmmetriesof theme sin(o2) reltcoso re4.cos20.

A:

Q: 2) Consider a circle of radius 2?. Find the arc length that corresponds with an angle of  −180°.…

A:

Q: Find the length of the portion of the arc given by r(t) = (e 'cos t) i + (e 'sin t) j + 5e ' k, -In…

A:

Q: (C) is a circle of center 0 that has a circumference of 36 cm. A and B are two points of (C) such…

A: Ans-40.86 degree or 0.713 radian .......detailed solution I have given ...hope you will get…

Q: 4. Find the distance traveled (arc length) of a point that moves with a constant speed of 2.8 m/sec…

A: Here we have to find the distance traveled of a point that moves with a constant speed of 2.8 m/sec…

Q: In ANOP, the measure of ZP=90°, NP = 35, ON = 37, and PO = 12. What ratio %3D represents the sine of…

A: Given,

Q: Find the value of the trigonometric ratio. tan Z Z. 30 Y 40 50 O a 3/5 4/5 3/4 4/3

A: Option (d) 4/3 is correct.

Q: Find the arc length along a circle of radius 2 units subtended by an angle of 310°. Round your…

A:

Q: sign 10 ft. Ie 20 ft. tunnel road Fig. 6: Looking at a sign

A: We have to use the labelled diagram first.

Q: s = 12.5 e = 320° %3D Radius: Central angle: Length of the arc:

A:

Q: What is the Length of the arc of the circle r = sin θ that remains outside of the cardioid r = 1 —…

A: According to question given thatr=sinθr=1-sinθ

Q: Find the arc length, x, when 57 r = 1 and 0 = radians. %3D 9. 9. 1

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.