(a) Describe how the inverse tangent function f¹(a)= tan¹() is defined: i. using words; ii. using equations; iii. using pictures. (b) What are the domain and range of f(x) = tan¹(a), and why?

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A: Given that a function l that takes a string of English letters as an input and produces its length…

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A: To solve the following equation. 3 logx-15=14x

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A: Note :- Assume  in place of  ? in given equation Given Equation:- 2sinx+1=0

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A: Given query is to find the missing values of the triangle.

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Q: 2) During a figure skating routine, Mary and Paul skate apart with an angle of 20° between them.…

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Q: 1) Consider the function g(x) -4 +3 b) a) lim X-2+ lim -1 X-2 c) lim X12 e) lim 1 f) lim d) g(a) = S…

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Q: Use the fact that the trigonometric functions are periodic to find the exact value of the given…

A: As per guidelines if multiple questions are posted we can solve 1 question at a time. So please…

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A: Given law P = katwhere k, a are the constants P = is the population after t years

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A: Given query is to find the height ladder wil reach.

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A: We have to give one transformation.

Q: find the reference angle corresponding to the given angle

A: We have to determine reference angle corresponding to the given angle

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A:

Q: Find the remaining sides of a 30° -60°-90° triangle if the longest side is 10. Answer exactly.…

A: Given query is to find the sides of the triangle.

Q: Prove the identity. cotx csc x-1 csc x+1 cotx

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Q: Solve the equation given. Enter all solutions, in degrees, that lie in the interval [0°, 360°). Do…

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Q: Law of cosines

A: If ABC is a triangle and a, b, and c are the lengths of it's sides. Then By law of cosines c^2…

Q: phis, TN and New Orleans, LA lie approximately on the same meridian line. Memphis has a de of 35°N…

A: we will find the required.

Q: 2. Find the exact value of each trigonometric ratio. 7π 6 c) CSC d) sec 47 3

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Q: 46 in. C 0

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Q: 2. Consider the function: ² ( ½ × + 3 ) ₁ y = sin +2 - ² 1. What is period if this function? 2. What…

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Q: 13. Solve the inequality: 8³x+5 < 32*+7

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Q: 1-x and 1-y planes shown, sketch a graph in the x-y plane. y(1) 32 -2 x(1)

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Q: 12. Write the sinusoidal equation for the function shown below: AA 30 60 90 120 150 0 210 240 270…

A: Take the reference of Sin(x) because this graph is similar to Sin(x) in terms of shape.

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Q: Use the graph to determine whether each statement is true or false. lim f(x) = -2 X→-2+ 7) +++ -5 -4…

A: To find the limit of function using given graph.

Q: Let be an angle such that cot0 = Find the exact values of csc 0 and 5 12 sec 0. and sin 0 <0.

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Q: = 28. D lp: eBook Post to forum B

A: We will find the required value .

Q: cot 0-1=0

A:

Q: write me one transformation: equation and solve it on paper and show your work step by step  NOTE:…

A: We have to give one transformation.

Q: B

A: We are asked to find AB

Q: Use a Pythagorean Identity and cot 0: - ㅇ O O 13 5 13 to calculate csc 0 when is in Quadrant I.

A: Here we have to choose the correct option.

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Q: a b C d m2C = 76°, a = 7.84, b = 4.37 m²C=76°, a = 3.59, b = 7.79 m²C=76°, a = 4.37, b =7.84…

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Q: e the quadrant in which lies if tan <0 and si

A: We will find the required  quadrant.