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

Q: Given right triangle XYZ, what is the value of tan 30 60° 3 O 23 3

A: tanY = opposite side / adjency side

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

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

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Q: How do you find the length of the arc of a circle of diameter 10 meters subtended by a central angle…

A: The formula for the length of an arc of a circle is:…

Q: What is the smallest positive degree angle measure equivalent to tan − 1 ⁡ ( 0.724 ) ?

A: Given :tan-1  0.724

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

A:

Q: In a right triangle, the side opposite angle phi has a length of 29.0 meters, the side adjacent to…

A: cot(phi) = base/perpendicular

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: Refer to triangle XYZ, find watch ratio

A: Given triangle is :

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: what is the measure of arc AB?

A: Let O be centre of circle∵BD is diameter∴∠BOD=180°

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

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Q: If the terminal side of angle 0 is in the first quadrant and sin(0) = , what is the exact measure of…

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Q: A guy wire 1174 feet long is attached to the top of a tower. When pulled taut, it touches level…

A:

Q: How many degrees are in a central angle whose arc is - of a circle?

A: How many degrees are in a central angle whose arc is 3/5 of a circle.

Q: Illustrate an unit circle and choose at least 15 angles measured in both degrees and radians.

A: For the solution follow the next step.

Q: If a central angle of 0.156 radian cuts off an arc length of 5 on a circle, then what central angle…

A: We will use the formula s=rθ Where s=arc length , θ=central angle, r=radius Given that for θ=0.156,…

Q: how do i find each trigonometric ratio for a right triangle given 3 sides?

A: Let 3 sides are a, b, and c of the right triangle.

Q: The base of an isosceles triangle is 70 cm long. The altitude to the base is 75 cm long. Find, to…

A: Given the base of an isosceles triangle is 70 cm long and the altitude to the base is 75 cm long. To…

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.

A:

Q: A central angle of a circle of radius 6 inches is subtended by an arc of length 6 inches. What is…

A: The circumference of circle is           2πr = 2.π.6 =12π inches         which subtends central…

Q: What is the value of 3 radians in degrees, minutes, and seconds?

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Q: A 28-ft ladder leans against a building so that the angle between the ground and the ladder is 79°.…

A: As per given question question  We have find heights of Building

Q: A 22-ft ladder leans against a building so that the angle between the ground and the ladder is 74^∘…

A: The length of the ladder, l = 22 ft The angle between the ground and the ladder, θ = 74° To evaluate…

Q: If the radius of a circle is 2, and the arc length between the two rays of an angle whose vertex is…

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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: A guy wire 1273 feet long is attached to the top of a tower. When pulled taut, it touches level…

A:

Q: A triangle has a length of 38 cm and 42 cm on its two sides, and the angles opposite to these sides…

A: We have to find the length of the third side of the triangle.  We have that the length of the two…

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: What is the length of an arc that subtends a central angle of 1.5 radians in a circle with a radius…

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Q: Why will the cosine ratio never be ambiguous within a triangle?

A: If we restrict our attention to triangle angles, between 0⁰ and 180⁰, we see the difference between…

Q: How can the unit circle help us find the exact values of trig expressions involving special angles?…

A: To show how trigonometric expressions can be found using Unit circle.

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

A: In second quadrant, negative x axis are used

Q: In a circle of radius 5 miles, the length of the arc that subtends a central angle of 5 radians is…

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Q: The terminal ray of angle 0 in standard position passes through the poi calculator in degrees.

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: What is the measure of <BAO to the nearest degree?

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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: An isosceles triangle has base angles measuring 71 degrees each.  What is the measurement of the…

A: An isosceles triangle has base angles measuring 71 degrees each.  What is the measurement of the…

Q: 7 Given a point on the terminal arm (-2, -3), determine the exact expressions for the six…

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Q: A 31-ft ladder leans against a building so that the angle between the ground and the ladder is 62°.…

A: Given: Length of the ladder is, l=31 ft. Angle between ladder and the ground is, θ=62°. The…

Q: F 45° n=1 N f3=

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

Q: t31 60° 30°

A: The given right triangle has measure of T is 30 degree, measure of S is 60 degree and the length t=1

Q: Find the acute angle of Ø if tanØ=9. Wite in decimal form with as many decimals. Also show in form…

A: Given : tanφ = 9                   tanφ = 9                        φ = tan-1(9)…

Q: A 36-ft ladder leans against a building so that the angle between the ground and the ladder is 61°.…

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.