rele at D. CG is a tangent to the circle at C. the following sketch, FD is a tangent to the B||DC and DE=EA. Ē, = 37° and Â, = Write down, with reasons, four other angles that are equal to x. Determine the sizes of the following angles in terms of x. Give reasons. DI (1) DÊA (1) (iii) Ĉ,

Q: 18. In the figure, PT is a tangent segment of circle Q. If PR=4, and RS=12, find the length of PT. *…

A:

Q: If t = TT, find the terminal point P(x,y) on the unit circle %3D y = Give exact values. No decimals…

A: Given- t=23π To Find- The terminal point P x,y on the unit circle. Concept Used- The terminal point…

Q: 6. Emma must prove that AB is tangent to a circle C at point A. She is going to show that AABC is a…

A: RECALL: A Tangent to a circle is a straight line which touches the circle at only one point. This…

Q: PQ is tangent to circle O. Given mZP = 11°. Find the value of x. P 39.5° 79° O 22° 101°

A:

Q: A. Solve. In circle O, PA and PB are tangent segments from point P. 00 P. В 1. If OA=6 cm and PA=8…

A:

Q: Jayds. ds; C is the portion of the unit circle r(s) = (cos s, sin s), for 0sss 4

A:

Q: Find the length s of the circular arc. (Assume r = 5 and 0 122°.) S = r

A: To find the length (S) of the circular arc.

Q: the diagram below, PS is a tangent to circle O at point S, PQR is a secant, PS=x, PQ=3 and PR= x+18…

A: It is given that, , PS is a tangent to circle O at point S, PQR is a secant, PS=x, PQ=3 and PR= x+18

Q: Solve for the missing information, given the AB is a tangent line to circle C. B 10 cm 45° CB =

A: We will find the length of CB as following.

Q: In the circle below, EF is a diameter and EH is tangent at E. Suppose m EFG 296°. Find the…

A:

Q: The figure consists of a tangent and a secant to the circle. Find the value of x to the nearest…

A: By using circle property, we calculate the value of 'x'.

Q: Find the length of an arc formed by a central angle of 110 intercepting a circle of radius 12 m. S =…

A:

Q: 6. Use the tangent ratio to find the size of the angle marked x, correct to the nearest degree. 35…

A:

Q: Determine the length of the tangent to the circle x? + y? - 4x - 5 = 0 from (8, -2). * 2.89 5.57…

A:

Q: In the diagram AB is a tangent and BD is a secant with AB = 6 and CD = 5. Find BC. A B C D

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Q: Find the length of the indicated arc for the follo ing circles. Either leave in terms of T by…

A:

Q: in the following problem, e is a central angle that cuts off an arc of length s. Find the radius of…

A: θ is the central angle that cuts off an arc of length s θ=315°=315×π180=7π4s=7 km Radius of the…

Q: D 12 cm 45° A AB and AD tangent to circle C. are What is the value of x?

A:

Q: each length below. a) In the figure below, two secants are drawn to a circle from exterior point H.…

A:

Q: 1. In circle A below, which of the following is not true? O EF is a chord CB is a tangent line BA is…

A:

Q: In each diagram, ZY is tangent to circles O and P. Find the value of x.

A: We draw a perpendicular line from O to PY.

Q: At what angles between 0 and will one leaf of r = 4 sin 20 and the circle r = 2 will intersect? 5T…

A:

Q: Find the Tangent ratio for angle F in the triangle below. G 5 km F tanF = 2 km 13 km H.

A:

Q: In each diagram, ZY is tangent to circles O and P. Find the value of x. 9.

A:

Q: In the diagram below, PR is tangent to circles O and S. Answer the following. If OP = 7, SQ = 3.5,…

A: AAA triangular similarity: Triangles are similar if the measure of all three interior angles in one…

Q: 5. Which of the following is a tangent of the attached circle? H

A:

Q: My birthday is *#1.) AE is tangent to circles D and C. If EB =x+8, DE = 8, AB = 6 and AC = x. B. a)…

A: In circle  Radius is perpendicular to tangent

Q: 2. In the following figure, TU is tangent to the circle at point U. Use the figure to answer the…

A: If one secant (RT) and one tangent(UT)  are drawn to a circle from one exterior point, then the…

Q: In the figure below, CD is tangent to the circle. Solve for m BD and m AB. yo C 50% A to D 200° The…

A: Explanation of the answer is as follows

Q: 24. True or false: AB is tangent to circle C. D 29 C 21 O False O True 10

A: Statement : A line which touches the a circle at Just one point is tangent to the circle.…

Q: In the diagram at the left below, PT is tangent to 00 and PN intersects 00 at J. Find the radius of…

A: Draw a perpendicular line PO. Join OT. To find OT=radius. Given PN = PJ + JN= 8+4=12, ON=4 ,PT=12

Q: Q 11: Determine the measure of the central angle that is formed by and arc length of 5 cm in a…

A: Solution: Given, Arc length(s) = 5 cm            Radius(r) = 2.5 cm Now, We know that arc length(s)…

Q: In ADEF, the measure of ZF=90°, DF = 3, ED = 5, and FE = 4. What is the value of the tangent of ZE…

A: Trigonometric formula: - In Trigonometry, the elements are found using six ratios. Trigonometric…

Q: Find the length s of the circular arc. (Assume r = 9 and 0 = 104°.)

A: To find length s of the given circular arc. Here, s= arc length  r = radius= 9(given) θ = angle in…

Q: If 0 < t < π/2, describe sec t as a ratio of the lengths of the sides of a right triangle.

A: If 0 < t < π/2, we have to describe sect as a ratio of the lengths of the sides of a right…

Q: 5 B 6. 8. A A) Tangent B) Not tangent

A: To determine whether AB is a tangent to the circle  Let the centre of the circle be O and point on…

Q: 6. In which of the following diagrams is QR tangent to circle S? Circle the best answer. A. B. 10.8…

A: Here is the solution

Q: F De

A:

Q: In the diagram below the two circles have radius 2 and centers D and G, DH is tangent to C(G, 2) at…

A:

Q: 2. BC bisects AD. BF is tangent to circle C. Use this information to answer the following question.…

A: a) If AE = 7,  To find DE , AD They given that BC bisects AD that is two equal halves , so AE = DE…

Q: D. Given the following definitions, draw a right triangle that fits the descriptions: sin y = k|L…

A: We will use the basic knowledge of trigonometry and geometry to answer this question properly, in…

Q: Find the length of the diameter of the circle if AB is a tangent to O P. 17 sent 15 angent B The…

A: Given : AB is a tangent to the circle P such that AP = 17 and AB = 15

Q: O From a point S due south, the angle of el- evation of the top of a vertical mast is 38°. From…

A:

Q: Suppose that x, is a point in Quadrant III lying on the unit circle. 5 Find x. Write the exact…

A:

Q: Suppose the angle formed by the line y = 2x and the positive x-axis is 8. Find the tangent of 8.…

A:

Q: B. Which of the following is a tangent? EC AB ED BW

A: Given figure is: Tangent is a line that touches the circle at exactly one point. Tangent line never…

Q: 3. Given ADEF with right angle E, DE = 24, EF = 7, and DF = 25. Which of the following would…

A:

Q: Solve for the missing information, given the AB is a tangent line to circle C. 3 cm 45° В AD =…

A: To find: The length of AD. Given: The values are CD=3 cm. Formula used: trigonometric ratio: sin…

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

A: Given that s denotes the length of the arc of a circle of radius r subtended by the central angle θ.…

Q: 3. Given the following definitions, draw a right triangle that fits the descriptions: sin y =K/L and…

A: siny=KL and tanθ=ZY

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.