Practice 3 Determine the value of the missing arc. 70° O 70 A E 85 100 240 D 85° ? O O O

Q: sec² 0 de tan² 0 – 1

A: Integrate the integral.

Q: Integrate and use walli's formula. let x=sintheta

A: Given integral, ∫011-x252dx

Q: Match each number to the definition:  Major arc-  Diameter- Chord- Minor Arc- Tangent line- Interior…

A: Given:

Q: 1. ſ tan²2xsec*2x dx

A: Let, z=tan(2x)dz=sec2(2x)d(2x)dz=sec2(2x)(2)dxdz=2sec2(2x)dxsec2(2x)dx=dz2

Q: 9. 4 sec2 0 tan 0 d0 0,

A: The solution is given below

Q: Evaluate without using a calcu lator (tw" () CoS (tan"

A:

Q: 1+ cot? x = csc² x

A:

Q: Arc length

A:

Q: Find the value of cot (§). Enter an exact answer.

A: Solution: cotπ3

Q: Use Newton's Method to approximate the root of In a = 2 accurate to five decimal places. Begin by…

A:

Q: 43. y = 3x - x, x= 0, y = 2 are bounded in the first quadrant. Determine its area. % sq. units %3!

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Q: Cannot solve

A: We will change arcsec into arccos first using the formula

Q: 8 10 6 8

A: TanA = BC/AC           = 6/8

Q: S sins dx cosx 2.

A:

Q: Differentiate the ff equation:

A: Given that, y=arc sec 2x

Q: A ladder of length 8 meters leaning against a wall starts to slide. If its upper end slides down the…

A:

Q: 3. tan (1/1) dr

A:

Q: valuate tan(Arccos 12/13

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Q: arc JK = (7x - 39)° and arc ML = 87°, find x. *

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Q: te: sec(5 x + 4) tan(5 x + 4) dæ

A:

Q: Which of the following is equal to arcsin(-V3/2)? -27/3 -T/3 T/3 27/3 ООО

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Q: 80 jess X e-x sin x dx.

A:

Q: Without using calculator find the exact value of cos (arcsin(3/5) + arccos(4/5))

A: solution

Q: cos æ dx =| 0.53

A: We will solve it by substitution

Q: Find the shaded area in Quadrant 1 between y = -x + 12 and y = x² (enter an exact answer)

A:

Q: y - cot xy = cscx,

A:

Angles in Circles

Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.

Arcs in Circles

A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.