Define the six trigonometric ratios in terms of the adjacent and opposite sides and the hypotenuse.

Q: Determine all 6 trigonometric ratios for angle A in this triangle (see image)

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Q: Match the trigonometric ratio with its description

A: One of the trigonometric ratios is the sine ratio. It is the opposite side above the hypotenuse of…

Q: State the exact value of the following trigonometric ratios. Show steps and include a sketch of the…

A: cot(5pi/3) lies in the fourth quadrant csc(5pi/6) lies in the second quadrant

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

A: Here we find the five trigonometry ratio.

Q: Do all angles have values for all six trigonometric ratios? Why or why not?

A: value of some trigonometric function is undefined  , like tan900,cosec00, sec900,cot00 because…

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

A:

Q: Use trigonometric ratios to find the indicated side lengths in the diagram shown. Round your 8.5 72°…

A: Solution of the problem as follows

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: What ratio is equivalent to sin∠Asin⁡∠A?

A: We have to find the ratio which is equivalent to sinA.

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

A:

Q: You know the lengths of the two legs of a right triangle, and you are trying to solve for the…

A: Given lengthsof the two legs of a right triangle are known, and you are trying to solve for the…

Q: Define the tangent, sine, and cosine ratios for an acute angle.

A:

Q: Write the trigonometric ratio indicated. tan W

A: From the given Right-Triangle , we have Base = 5 ,  Perpendicular side=12,    hypotenuse =13

Q: Find the value of each trigonometric ratio to the nearest ten-thousandth.

A: Trigonometric functions are equal to the ratios of the sides of the right triangle. The cosine of an…

Q: Find the exact values of the six trigonometric ratios of the angle 0 in the triangle. 25 24

A: For the given triangle, the trigonometric ratios are…

Q: Find the smallest angle, in radians to 2 decimal places, in a right-angled triangle with longest…

A: Given right angle triangle so use Pythagoras theorem  to find the third side.. Then  infront of…

Q: Summarize the three core types of trigonometric ratios showing what each ratio is.

A: Solution

Q: Sketch the angle in standard position and determine the exact value of all six trigonometric ratios.

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Q: Use the definitions of the trigonometric ratios to find the value of sin30°sin⁡30°, cos30°cos⁡30°,…

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Q: 1. Use a unit circle to determine the exact values for the primary trigonometric ratios for 240° 0.5…

A: According to question, We have to use unit circle, so, Radius of circle = 1 unit

Q: Find the exact values of the six trigonometric ratios of the angle 0 in the triangle. 2 3

A: we know that in right angle triangle hypotenuse2=base2+altitude2                                 ..1…

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

A: given: a right angled triangle with sides 8,15 and 17. and one of the angle is θ. first of all label…

Q: A 33 foot ladder leans against a building so that the angle between the ground and the ladder is 75°…

A: Draw a schematic diagram of the given question. Given data, Length of ladder, AC = 33 ft Angle…

Q: a) Apply trigonometric ratios and the Pythagorean Theorem to design a full zip line course. Explain…

A: Given: Trigonometric ratios To find: Reasoning

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

A:

Q: The question says Use a trigonometric ratio to find the value of X. Round your answer to the nearest…

A: The explanation of the solution as follows:

Q: In AABC, if a = 10, b = 24, and ZC = 90°, determine the exact expressions for the six trigonometric…

A: The given triangle is right-angled, from the Pythagoras theorem, c=a2+b2c=102+242c=676c=26

Q: 6) sin A

A:

Q: 12 i Which of the following trigonometric ratios are correct? 20°

A: our objective is to find the correct ratio.

Q: 1. Why is it important to use the six trigonometric ratios in getting a missing angle value?

A: The six trigonometric ratios are sine, cosine, tangent, cotangent, secant, and cosecant. Basically,…

Q: Choose which trigonometric ratio that you would use to solve for the missing info. A X 13° В 25 cm…

A:

Q: Find the tangent ratio of angle BCK.

A: Fake triangle ABK, We know that total interior angles of a triangle sum up to 180°. A+B+K=180°…

Q: Find the remaining trigonometric ratios of θ if:

A: (39).  Given: cscθ=-135  and θ in third quadrant.

Q: In terms of the tangent of a positive acute angle, what is the expression for tan(7π/8)?

A: In the question it is asked to write acute angle expression for tan(7π8).

Q: Use Rythegoeen Thearem to find missing side / 4 cm 5.71 cm B Set up and calculate the trigonometric…

A:

Q: If sine , then what are the other five trig ratios?

A: So in this we have to use fundamental trigonometry identify so I'm providing hand written solution…

Q: A 26-ft ladder leans against a building so that the angle between the ground and the ladder is 78°.…

A: Topic-hight & distance

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

A: In second quadrant, negative x axis are used

Q: What is the measure of arc BC?

A:

Q: 4) tan X 40 32 24 Y

A: We have to find the value of tanX in the given triangle XYZ.

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

A: The given figure is:

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: Find the six trigonometric ratios of each of the acute angles of the given right triangle:

A: Given that:

Q: Find the tangent ratio of angle BKC.

A: The tangent ratio of ∠BKC is tanK=opposite sideAdjacent side K=45° tan45°=BCBK 1=BCBK

Q: F 45° n=1 N f3=

A: To find:  All six trigonometric angles and sides of triangle.

Q: What are the other five trigonometric ratios of 0 in a right triangle with cot 0 = 2? %3D 16

A:

Q: Find the values of the trigonometric ratios from the graph

A: the given point is

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: Use Rihegoeen Thearem < to find missing side 4 cm 5.71 cm B Set up and calculate the trigonometric…

A: Here, we need to find the length of the side AB using Pythagorean theorem and the trigonometric…

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.