Prove the following in Show Your Work using the basic trig definitions and algebra tan² x + 1 = sec² x

Q: Given the triangle 29 places. Area = 33 21 find the area of the triangle. Round your final answer to…

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Q: g(0) A 2 y = 3

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Q: 15. A 16 foot ladder leans against a building. If the angle the ladder makes with the ground is 68°,…

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Q: Problems 7. Create a process (series of steps) that could be used to solve for the area of a…

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Q: Exercises 1. Find the measure of c to the nearest degree. 29 14

A: We are authorized to answer one question at a time, so we are answering the first one, please repost…

Q: increase at the constant rate of 2ft/sec. Q6. A pebble is dropped into a pond. The radius,r of the…

A: A pebble is dropped into a pond. The radius r of the first circular ripple is measuredto increase at…

Q: Brynn installs soffit, fascia, and eavestrough. Safety regulations state that the base of a ladder…

A: (a.)Given that the safety regulation state that the base of the lader must be at least  away from…

Q: Set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region…

A: The objective of this question is to set up an integral for the volume of the solid obtained by…

Q: Applications of inverse trigonometric functions often involve degrees rather than radians. In terms…

A: To find :- The value of

Q: Solve the trigonometric equation and leave the answer in radians sen x/2 = 0 The chapter is…

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Q: ive the smallest two solutions of sin(76) = -0.0581 on [ 0, 2). eparate the two solutions with a…

A: The given equation is  ,[0,)

Q: you have to show ur work

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Q: A с B b Ө с a For the diagram above, given that a= 2m and 8 = 50°, calculate the following: The…

A: need to find out the lengths of the sides AB and AC.

Q: Find the dot product of the following vectors ủ and v. u • v =

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Q: Let theta be an angle in first quadrant with cos=a. Evaluate the following in terms of a.  Cos…

A: The objective of the question is to find the value of Cos (theta + 360°) in terms of 'a' when cos…

Q: Evaluate the integral using the indicated trigonometric substitution. (Remember the constant of…

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Q: Find I

A: The objective of the question is to find the radius of convergence and the interval of convergence…

Q: Set up an integral for the area of the shaded region. Evaluate the integral to find the area of the…

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Q: Find the Amplitude and Midline y=5-2 sin t/5

A: The objective of this question is to find the amplitude and midline of the given trigonometric…

Q: It should be a -c at the end for the start of the equation.

A: By using the Law of Cosines to prove that, .

Q: (學) (1) (台灣) (學) 70 6 37 3 6 150 (-1,0) T- - 180° 20 135* 210 120° (台灣) 225° 5元 2,40⁰ 4 4T 3 (0,1)…

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Q: X₁ a 15 Yz В x NT 15 В

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Q: sen 4x: √3 2

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Q: Find an equation of the tangent line to the curve at the point corresponding to the given value of…

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Q: 4.) Given the vertical side is 9 m, and the horizontal side is 11 m, solve for the remaining sides…

A: Vertical side = 9 mHorizontal side = 11 m

Q: 3 33 -2 x dx

A: The given integral

Q: Evaluate without using a calculator cos 540°

A: The objective of this question is to find the value of cos 540° without using a calculator. In…

Q: - Aiko is flying a kite. She is using a string that is 85 ft long. How high above the ground is the…

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Q: Write an equation in the form ??=asin⁡(?(?−?))+? to model something that rotates around a fixed…

A: The objective of the question is to write a trigonometric equation that models a rotating object,…

Q: Determine for the two vectors: x = ai+bj+ck and y = di+ej+Xk where a = 2.3, b = 3.5, c = -4.3, d =…

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Q: the definition of tan 0 m-tan 0, where m is the slope and 0 is the angle of inclination of the line.…

A: The figure

Q: Find the Amplitude and Midline y=5-2sint/5

A: The objective of the question is to find the amplitude and midline of the given trigonometric…

Q: 8. Measure and record the following angles for the drawing shown below: a. The relative angle at the…

A: Using  the right horizontal as my reference for the absolute angles , The answer is given below:-a)…

Q: Graph two periods of the function without a calculator y = 12cos(2π)/50 t) - 24

A: The objective of this question is to graph two periods of the given function y = 12cos((2π/50) * t)…

Q: Graph the function for -π≤theta≤2π. How is the graph related to the graph of y=tan theta? g(theta)=2…

A: The objective of this question is to graph the function g(theta) = 2 * tan(theta) for -π

Q: Find all values of 0 if 0 is in the interval [0°,360°) and has the given function value. sin 0…

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Q: Problems 8. A forest ranger standing in a 30 m tall tower sees two forest fires. He spots the first…

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Evaluate the integral. (Remember to use absolute values where appropriate. Remember the constant of…

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Q: Find the volume of the prism whose base is a regular n-gon with sides and whose height is h. Hint:…

A: The objective of this question is to find the volume of a prism with a base that is a regular n-gon…

Q: Two cities have nearly the same north-south line of 92° W. The latitude of the first city is 29° N,…

A: Two cities have nearly the same north-south line of 110° W.The latitude of the first city is 23° N,…

Q: Would an eardrum hearing this tone be vibrating outward or inward when P>0?

A: To determine whether an eardrum hearing this tone would be vibrating outwardor inward when .

Q: Two buildings are sited from atop a 200-meter skyscraper. Building A is sited at a 35 degree angle…

A: The objective of this question is to find the distance between two buildings, Building A and…

Q: B Given: AB= 10 √ 3² [cm] AD=10[cm] CAD = DAB Find XCAB and ABC

A: The given figure

Q: The area of a sector of a circle with a central angle of  5π4  radians is  14 mm2 . Find the…

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Q: -5 -4 -3 -2 -1 2 1 1 -2 -4- -5+ 3 The graph below can be represented by parametric equations of the…

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Q: A rotating beacon us located 4 ft from a wall. If the distance from the beacon to the point on the…

A: The objective of this question is to find the distance from the beacon to the point on the wall…

Q: Find the value of x in the triangle below. 10 m 42

A: To find the value of  in the triangle below.

Q: Let z = -2+ 3i.

A: z=−2+3i|z|=(−2)2+32|z|=4+9|z|=13

Q: Find the values of the trigonometric functions from the given information. Give exact answers with…

A: Given .To find .

Q: Evaluate the integral. √6²x5* dx

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