The base of an isosceles triangle is 16 inches and the altitude increases at the rate of 6 inches per minute. When the altitude is 8 inches, find the rate of change of (a) the vertex angle; (b) the base angle. Use trigonometric functions.

Q: A port and a radar station are 3 mi apart on a straight shore running east and west. A ship leaves…

A: Please look at thediagram on white board. I have used the diagram from the question itself and…

Q: Define what is an important property of the sine and cosine functions?

A: The most important property of Sine and Cosine functions is: The sine function is Periodic and odd.…

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Q: Use a calculator to approximate the value of the expression arcsin(−0.125), if possible. Round your…

A: The expression represents the inverse sine function. This means the angle is to be obtained of…

Q: What is the equation of a sine or cosine function to describe the graph?

A: Let the function corresponding to the given graph be f(x).  From the graph, we can observe that if…

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Q: Graph cach function using radians. 3. y =1 sin

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Q: Approximate sin 179 degrees using linear approximations.

A: Approximate Sin179°  using linear ApproximationLet x = 179° ,  a = 180°,  Hence∆x = x-a = 179°-180°=…

Q: Explain a real-world application of sinusoidal functions and how having knowledge of trigonometry…

A: Sinusoidal function is a function which oscillates between a mean and a extreme value.

Q: If a, b, and c are the sides of a triangle and A, B, and C are the opposite angles, find: (image) By…

A:

Q: An observer stands 1,200 m away from a launch pad to observe a rocket launch. The rocket blasts off…

A: Here I am attaching image so that you understand each and every step.

Q: Define the Arcsine and Arccosine Functions?

A:

Q: Write the formula forGeneral Sine Curves?

A: The formula for general sine curve is y = a sin [b(x - c)] +d

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A: Given θ=0.2 cos 8t To determine the maximum angular displacement θ is maximum, when…

Q: Find the tangent of ZE. F 56 65 Write your answer as an integer or as a decimal rounded to the…

A:

Q: the graphs of y= sinx and y=cosx differ by a horizontal shift of _____?

A: The graph of y=sinx and y=cosx is shown below:

Q: Determine &[tance) dx

A: differentiate the following

Q: State the formula for tan ratio.

A: We have to clarify about the formula for trigonometric ratio of tangent or tan ratio tan ratio is…

Q: A revolving beacon is situated 380 feet off a straight shore. If the beacon turns at 4.2 radians per…

A: Given revolving beacon is situated 380 feet off a straight shore and it turns at 4.2 rad per sec.…

Q: A hunter aims a shotgun at a mourning dove at the top of a tree standing 350 feet away. He pulls the…

A: Distance between Hunter and tree = 350 feet

Q: A 10-foot ladder rests against a wall. If the top of the ladder starts sliding down along the wall…

A:

Q: What is the period of the cosine function?

A: Given,          The period of the cosine function .

Q: What is the range of the cosine function?

A:

Q: Use a sketch to find the exact value of:

A:

Q: Why are different intervals used when restricting the domains of the sine and cosine functions in…

A: Why are different intervals used when restricting the domains ofthe sine and cosine functions in the…

Q: An observer stands 2400 ft away from a launch pad to observe a rocket launch. The rocket blasts off…

A: This question can be solved using the concept of rate of change of quantities.

Q: The sine of an angle is equal to 0.654. What is the value of tangent for this angle? Express your…

A: Given that, sine of an angle is 0.654. Now, we know the identities, sin2θ+cos2 θ=1 and tanθ=sinθcosθ

Q: Summarize the Derivatives of the inverse trigonometric functions?

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: Explain what is meant by the period of a trigonometric function.

A: The distance between the repetition of any function is called the period of the function. In…

Q: Find a formula for tan(arcsinx), for |x| < 1-

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Q: Find the derivative of sec−¹(x). Write the answer without any trigonometric functions.

A: You must have the idea of differentiation of trigonometric functions.

Q: a tangent line to approximate the value of sin( + to three decimal places.

A: Let f(x)=sinx. We have to use the tangent line to approximate the value of sinπ4+1100. The formula…

Q: Graph cach function using radians.

A: The given equation is:  y=12cosθ3+1

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A:

Q: At what rate is the angle between a clock's minute and hour hands changing at 7 o'clock in the…

A: To Determine: At what rate is the angle between a clock's minute and hour hands changing at 7…

Q: Find the vertical translation of a sine or cosine function.

A: The vertical translation of a sine or cosine function is nothing but the graph is translated up or…

Q: Describe the Arcsine and Arccosine Functions?

A: Our Aim is to describe the Arcsine and Arccosine functions:-

Q: Convert the following cotangent equation into a tangent equation. Explain your work. cot(x-pi/4)

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Q: What is the frequency of a tangent function period is 6 pie?

A: We have to find the frequency for given time period.

Q: State Derivatives of Inverse Trigonometric Functions ?

A: We have six trigonometry function, sinx, cosx, tanx, cotx, secx, cscx Inverse trigonometry function,…

Q: A rain gutter is to be constructed from a metal sheet of width 30 cm by bending up one-third of the…

A: The amount of water that the gutter can carry is directly proportional to the area of the…

Q: find the derivatives of inverse trigonometric functions

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

Q: The angular velocity of a point on Earth is π/12 radian per hour. Describe what happens every 24…

A: Given that the angular velocity of a point on earth is  π/12 radian per hour. We need to describe…

Q: Can we use the same techniques to find the derivatives of the other three inverse trigonometric…

A: here we have to use the same techniques to find the derivatives of the other three inverse…

Q: arcsin(-)

A: To find the exact value of  arcsin-22 that is  sin-1-22=sin-1-12 sin-1 function The inverse…

Q: Simplify tan ¹(− ª) to a single trig function using the sum or difference of angles identity. 2

A:

Q: To graph y = sin(-Bx) for B > 0, first write the function as y = because sine is an -Select---v…

A: Given query is to fill the blank.