In ΔBCD, the measure of ∠D=90°, DC = 55, CB = 73, and BD = 48. What ratio represents the cosine of ∠C?

Q: The radius of a circle is 4 inches. What is the angle measure of an arc 3ë inches long? r=4 in l=3n…

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Q: In AIJK, the measure of ZK=9o°, IK = 9, JI = 41, and KJ 40. What ratio represents the sine of ZI?

A: Given that ∠K=90°,  IK=9,  JI=41  and KJ=40. Construct a right triangle (IJK)  and name it, with the…

Q: The given trig ratios are congruent to what other trig ratios? W 1) cosW = 2) sinW = Y

A: From the given triangle we have: cos(W)=WXWY      and      sin(W)=XYWY

Q: In AABC, the measure of ZC=90°, BC = 1.6 feet, and CA = 2 feet. Find the measure of ZA to the…

A: Given,

Q: Use the property that corresponding sides of similar triangles are proportional to complete the…

A: According to angle - angle similarity theorem, if two angles of a triangle is same as the two angles…

Q: Write the ratios for sin M, cos M, and tan M. Give the exact value and a sin M =

A: The trigonometric ratios can be found by the formula sinA=opposite sidehypotenuesecosA=adacent…

Q: Find the trig ratio. Round to the nearest tenth. 22 25 sin A = [?] %3D

A: We can solve it by property of right angle triangle.

Q: Solve for the missing side or angle using Trig Ratios (sin, cos, tan) 3. 4.

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Q: a 45° A B.

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Q: Sketch a triangle that has acute angle ?. than find ratios of tan theta squareroot 15 sin theta =…

A: Solution :

Q: Find the reference angle e, and sketch e and e in standard position. 0 = 150°

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Q: of

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Q: 2) cos C 34 30 16

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Q: If x in the image below measures to be 102 degrees, what is the measurement of arc A?

A: Note that, here the vertex of an angle is on the circle and it’s the intersection to one of the…

Q: In the figure shown, triangle GHJ is similar to triangle PQR. 17 8. 15 H- G Based on this…

A: Given Data: The triangle GHJ is similar to triangle PQR. From the figure, The length of side PQ is:…

Q: In the diagram of the right triangle ADE below, BE || DE. Which ratio is always equivalent to the…

A: Solution

Q: Find the value of each trigonometric ratio. cos C 40 B. 30 50 of

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Q: b=12 A, C= 5 5 B

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Q: In AUVW, the measure of^ZW=90°, WV = 65, VU = 97, and UW = 72. What ratio %3D represents the sine of…

A: topic - trigonometric ratios sine of V =UW/VU=72/97

Q: Find the exact trigonometric ratios for the angle x whose radian measure is -3pi

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Q: Find the angle between  6j + 16k  and  −4i − j  (to the nearest degree).

A: Let two vectors are u=6j+16k and v= -4i-jTo find angle between two vector use formula, |u| is the…

Q: If angle A=−340∘, what is the radian measure of A? Give your answer as an exact fraction in terms of…

A: Converting from A in degrees to Radians.

Q: The circle has a radius of 5 inches, and the arc length shown below is 9.5 inches. What is the…

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Q: If the angle of elevation of the sun is 70° 30', how tall is a post that casts a shadow 1.4 feet…

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Q: 3) sin C 35 29 21

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Q: In a right triangle ABC with angle A equal to 90°, find angle B and C so that sin(B) = cos(B).

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Q: In this figure, triangle GHJ is similar to triangle PQR. P. 17 15 R Based on this information, which…

A: Given: Two similar triangles  GHJ and PQR. tan of any angle is given by the formula: tan…

Q: Find the value of each trigonometric ratio. tan C 50 40 30 3 3 4. O 53

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Q: Use trigonometric ratios to solve for the variables. 12 cm y

A: The given figure is: Solve for the variables.

Q: 43. cot 0 = –2 and 0 E OII

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Q: In a circle of radius 60cm an arc 116cm long subtends an angle of how many​ radians? How many​…

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Q: 5) Write the trigonometric ratios for the following angles. * 25 cos(A) : %3D 24

A: Given,   Cos A=?

Q: Use the given right triangle to find ratios, in reduced form, for sin A, cos A, and tan A. B 17 15

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Q: Find the value of the trigonometric ratiosin (5 pi/ 3)

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Q: Do Now Find the sin, cos and tan ratios for the angle A. 12.8 km 9.6 km A 16.0 km

A: given,

Q: The radius of a circle is 10 inches. What is the angle measure of an arc 4a inches long? r=10 in…

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Q: In AFGH, the measure of ZH=90°, GF = 41, HG = 40, and FH = 9. What ratio represents the cosine of…

A: Cosine law of triangle   a2=b2+c2-2bc cosAb2=c2+a2-2ca cos Ac2 = a2+b2-2ab cos A

Q: In the figure shown, triangle GHJ is similar to triangle PQR. 17 15 R G Based on this information,…

A: Here we have,  ∆GHJ≈∆PQR,  we have in ∆PQR;  PQ=17; PR=8; RQ=15

Q: For the diagram below, which primary trigonometric ratio would you pick to solve for the unknown…

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Q: In AEFG, the measure of ZG=90°, EG = 11, FE = 61, and GF = 60. What ratio represents the sine of ZF?

A: Given: To Find:

Q: Find the exact values of the six trigonometric ratios of the angle e in the triangle.

A: Given: To find: sinθ=?cosθ=?tanθ=?cosecθ=?secθ=?cotθ=?

Q: If angle A = -in radians, what is the degree measure of A? Provide your answer below:

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Q: Sketch a triangle that has acute angle ?, and find the other five trigonometric ratios of ?.…

A: Concept: Angle Range between (0°,90°)is called acute angle.

Q: Which trigonometric ratios at the Hole (H) is equivalent to the ratio of 220 yards / 165 yards? 165…

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Q: Write the ratios for sin 6, cos @ and tan 0. 25 7 24

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Q: The radius of a circle is 10 inches. What is the angle measure of an arc 47 inches long? l=4n in…

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Q: Identify the hypotenuse, adjacent leg, and opposite leg in reference to the given angle. Then,give…

A: Here we have to find the hypotenuse, adjacent leg and opposite leg in the reference to the given…

Q: What is the radian measure of a 300º angle

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Q: in a right triangle angle theta has a cosine value of 0.755. The sidebadjacent to angle theta has a…

A: given,       and cosθ=0.755

Q: In the triangle at the right, which ratio represents sin R?

A:

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.