Explain how to use a sine curve to obtain a cosecant curve. Why can the same procedure be used to obtain a secant curve from a cosine curve?

Q: Prove that the Topologist's sine curve is connected.

A: To prove that the Topologist's sine curve is connected.

Q: Is the sine function even, odd, or neither? Is its graph symmetric? With respect to what?

A: To find:  If the sine function even or odd Is the graph symmetric and with respect to what.

Q: Find def differenti81 equation of %3D Siny

A:

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: True or False Exact values can be found for the sine of anyangle.

A: Exact values can be found for the sine of any angle.

Q: A sinusoidal function can be differentiated only if the independent variable is measured in degrees.

A: We have to check A sinusoidal function can be differentiated only if the independent variable is…

Q: explain why sine or cosine will never have a value greater than 1

A: To explain the given problem

Q: Find a sine equation having the following characteristics: Amplitude = 2 Period = 5 Horizontal Shift…

A: We have to find

Q: Write the equation of a sine function that has the given characteristics. Amplitude: 19 Period: 4…

A: Given that we need to find the equation of sine function whose  Amplitude = 19 Period = 4…

Q: Determine the Amplitude and Period of Sinusoidal Functions

A: To determine the  Amplitude and Period of Sinusoidal Functions

Q: prove that sin x is a perodic function .Also find its period

A: Let the function sin x is a periodic function with period p.

Q: If you need to review them, here is a link to the DQ Instructions. Show and briefly explain your…

A:

Q: Use a middlesum with n = 4 to estimate / cos(vr + 4) dx. Make sure that your calculator is in…

A: Given fx= ∫-412cosx+4dx  and n=4

Q: Write the formula forGeneral Sine Curves?

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

Q: Without drawing a graph, describe the behavior of the basic sine curve?

A: we have to determine the basic behavior of the sine curve.

Q: A cone has an altitude of 12 inches and a base radius which increases at the rate of 4 inches per…

A: A cone has an altitude of 12 inches  Let r is radius of base circle. h is the height of the cone, l…

Q: 3. Determine a sinusoidal function that could represent the graph drawn below. a.

A: topic - trigonometric functions

Q: What does it mean when we say that the sine and cosine functions are periodic with period 2π?

A: Given: sine and cosine function

Q: What does it mean when tan t<0. Which quadrant does that land in the unit circle?

A:

Q: Use the definition of the hyperbolic sine to show that sinh x is an odd function.

A:

Q: Draw a graph of sin 2x + sin 2(x + π/3). What are the period and amplitude

A:

Q: One of the two acute angles in a right triangle has tangent of Find the 12 sine of the other acute…

A: Given Data: The tangent of angle A is: tanA=512   The right-angle triangle ABC is shown in the…

Q: Write the equation of a sine function that has the given characteristics. Amplitude: 5 Period: π…

A: Here given data about basic sine equation we will find out value of w and phi.

Q: As 0 increases from 90 to 180 degrees, describe the value of Sine over this interval.

A: The sine of an angle in a right triangle is equal to the ratio of the opposite side length to the…

Q: The dx can only be evaluated using trigonometric substitution technique. A True False

A:

Q: Determine the equation of the cosine function that has an amplitude of 4, a period of 2T, and has a…

A: The general equation of cosine function is y=AcosBx-C+D Here,  A=AmplitudeP=2πB=PeriodCB=Horizontal…

Q: Why would a sine function be used to model the number of daylight hours?

A: We have to explain why a sine function is used to model the number of daylight hours.

Q: For y=2sin(9x)y=2sin(9x), its amplitude is__________ its period is __________

A: Given that y=2sin(9x) To find Amplitude and period.

Q: Find an equation for a cosine function having an amplitude of 2, period of 27, horizontal shift of 5…

A: To find an equation for a cosine function having an amplitude of 2, period of 2π, horizontal shift…

Q: Which functions have a period length of 2? cosecant secant cosine sine O cotangent tangent

A: Given The function have a period length of 2πb.

Q: Define the term oscillations of a sine curve?

A: We have to define the term oscillation of the sine curve. We know the graph of sine,

Q: 3. Find the area of one of the sine curve.

A:

Q: Use the addition formula for cosine and the identities to prove the subtraction formula for the sine…

A: We have

Q: Is  the sine function continuous every where?

A: we know that sine function is continuous on it's domain which we can see by graph of sine function…

Q: Find the equation of a cosine curve that is obtained by shifting the graph of y = cos(x) - to the…

A:

Q: Write the equation of a sine function that has the following characteristics. Amplitude: 3 Period:…

A:

Q: The graph of the sine function illustrates how the ____________ of a point on the unitcircle varies…

A: Given  The graph of the sine function illustrates how the ____________ of a point on the unit circle…

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

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

Q: Calculate arcsin 0, arcsin 1, arccos V3 arctan 1, arccot(V3) 2

A:

Q: The slope of the straight line that pass between two points has slope-- O cote O tane sine O cose

A:

Q: Find the period of a sine or cosine function.

A: Given  The functions are  sin θ  and cos θ .

Q: Find the Valve of నలాకె Sin

A:

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: By using the graph of function y= sinx, which is below, graph one 2(x+). = sin period of function y…

A: This question is based on Sinusoidal function.

Q: units, a maximum at (0,4), and a peroid of 180 degrees. Represent the function using both the sine…

A: Follow step 2 .

Q: Determine the amplitude of the function y=3 cos x. Also,choose its graph

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.