a) A six-foot tall woman is standing 10 feet away from a light pole that is 15 feet tall. How long is the woman's shadow? HINT: Draw a picture. Write two expressions using the same trigonometric function, then, since they represent the same trigonometric function, set them equal and solve. b) A wire is attached to a 200-foot tall antenna. If the angle of elevation from the point on the ground to the top of the antenna is 30°, then how long is the wire? 200 30°

Q: Use reference angles to find the exact value of the trigonometric function tan 14π/3

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Q: Use the Pythagorean Theorem to find the length of the missing side of the right triangle. Then find…

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Q: Use the trigonometric function values of the quadrantal angles to evaluate. 3 sin 0 degree + 8 sec 0…

A: We have  sin 00=0sec 00=1sin 900=1

Q: Using the Trigonometric Ratios, solve the following. 1. Find the angle of elevation from a point on…

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Q: trigonometric function values of

A: We have to evaluate sec180°2+4tan180°2+9cos180°

Q: The terminal arm of an angle, 0, in standard position passes through A(7, 2). Which of the primary…

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Q: 2. What are the remaining trigonometric functions of 0 is sec 0 = 17 and cot 0 < 0. 8. Show the…

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Q: Find the exact values of the six trigonometric ratios of the angle 0 in the triangle.

A: sin(θ)    = opposite side ÷ hypotenuse    = 24/25

Q: Express trigonometric ratio of the following angle in exact form sin 120o

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Q: Use trigonometric identities to simplify the expression. 1 cot(ß)cot| 2 tan²(ß) Answer

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Q: Determine the other trigonometric ratios when cos 0 = for an angle 0 on a right triangle. Give an…

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Q: According to SOH-CAH-TOA, we have sin θ = opposite/hypotenuse, cos θ = adjacent/hypotenuse and tan θ…

A: We have to explain

Q: 73.0 10.5 cm 53.3° A

A: AB = c = 10.5 cm AC = b  that we are asked find out BC = a   ∠ A = 53.3° ∠ B = 73.0°   The summation…

Q: Use the Pythagorean Theorem to determine the length of the hypotenuse. • BC Give the value for each…

A: Given, RB= 9 RC= 8 BC= ?

Q: Can techniques used in solving oblique triangles be used to solve right triangles? Justify by…

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Q: Find the exact value of the trigonometric function. Do not use a calculator.

A: Given-tan(π4+15π)

Q: Find the values of the six trigonometric functions for angle 0

A: here there are six trigonometric functions  P=perpendicular, H= hypotenuse , B= base  sin 00=PHcos…

Q: 2. The terminal side of an angle in standard position intersects the unit circle at point (+,-).…

A: tan(θ)=-3212 tan(θ)=-32×21

Q: The point (x,y) is on the terminal side of angle in standard position.Find the exact value of the…

A: Given: The point (x,y) is on the terminal side of angle in standard position. (6,-3) To find tanθ.

Q: Determine the exact trigonometric function values using reference triangles. 5л (*) 5л cot 4. csc

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Q: Use the trigonometric function values of the quadrantal angles to evaluate.   4 tan 180 degrees - 6…

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Q: In a right triangle, the side opposite of angle theta has a length of 80 inches, the side adjacent…

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Q: Use a calculator to find the value of the trigonometric function cot π/12 to four decimal places.

A: The given expression is cotπ12

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

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

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

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Q: To determine the length of side b. What trigonometric function must be used. A.)tangent, B.)sine,…

A: Explanation of the answer is as follows

Q: Determine two other angles that have the same trigonometric ratios as sin60° (Please show the steps…

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Q: Sketch a right triangle corresponding to the trigonometric function of sec θ =17/7  Then find the…

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Q: In right triangle ABC, mzC = 90° and AC + BC. Which trigonometric ratio is equivalent to sin B? %3!

A: We know that, for any angle x, sin(90-x)=cosx. Also the sum of the angles of a triangle is 180°.

Q: An acute angle, 8, is in a right triangle such that sine- What is the value of cot 6?

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Q: If a sprinkler 7 meters from one end of a 4- meter long wall has coverage to the end of the other…

A: According to figure ,  There is right angle triangle.

Q: First use the Pythagorean theorem to find the exact length for the angle opposite the shortest side.…

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Q: The terminal side of angle θ intersects the unit circle in the first quadrant at (13/19,y). What are…

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Q: In algebra, we note that for any real numbers a, b, and c, the equation c(a – b) = ca – cb is an…

A: a)We need to conclude if cos(A – B) = cos A – cos B  b) find ¢ such that all Sine cosine and tangent…

Q: In a circle of radius 2, the length of the arc that subtends a central angle of 222 degrees…

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

Q: 2. Use reference angles and the values you filled out in your table to find the exact value of: sin…

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Q: State the exact value of each trigonometric ratio for the given angle in the right triangle. Figure…

A: 1)  FG2 = EF2 - EG2  FG2 = 62 - 32 = 27  FG  =  3√3  FG  =  5.196 units    Thus,  sin(F)  =  EG ÷ EF…

Q: If csc0 = 5/2, find the exact value of the remaining trigonometric values of angle 0

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Q: simplify by referring to the appropriate triangle or trigonometric identity. cot(sec−1 x)

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Q: Which trigonometric ratios are negative in the second quadrant? Explain.

A: In second quadrant, negative x axis are used

Q: According to SOH-CAH-TOA, we have sin θ = opposite/hypotenuse, cos θ = adjacent/hypotenuse and tan θ…

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Q: What is a trigonometric value equal 12 to ? 15

A: The given figure is:

Q: A triangular fence is built with sides of length 15 m, 14 m, and 25 m, respectively. To the nearest…

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Q: 4. Which common trigonometric value is undefined? sec 315 csc 90° sec 90 csc 315°

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Q: Which trigonometric value is positive?

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Q: The length of an arc in a circle of radius r, subtended by an angle theta is given by s=rtheta Where…

A: Let the letter s symbolize the length of an arc, which is called arc length.An arc "subtends" an…

Q: If 0 is an acute angle of a right triangle and if the adjacent side and hypotenuse have lengths 4…

A: Angle of elevation is θ

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.