Use a graphing utility to evaluate arcsin(arcsin 0.5) and arcsin(arcsin 1).

Q: List the Identities Involving Arcsine and Arccosine?

A: Identities of Arcsine: sin(arc sin x ) = x arc sin (sin x) = x+2kπ , k is an integer arc sin(-x)=arc…

Q: arcsin (sin) 4 f arccos (sin-

A: Part (a) The arcsine of x is defined as the inverse sine function of x when -1≤x≤1. Thus,…

Q: cos (arctan S (B) - arcsin (3)) - 5 5

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Q: What is arcsinx-arccosx= Pi/6

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Q: Explain Hyperbolic cosine and Hyperbolic sine.

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Q: (0)= - sin(0). Sketch the graph of

A: Given query is to sketch the graph of the function.

Q: cos arcsin 12 %3D tan( aresin 12)) tan arcsin

A:

Q: 17 Simplify cot(arcsec 1) undefined 1 0 -

A: Given problem:- Simplify cot(arcsec(1))   undefined 1 0 -1

Q: 2. Explain why arcsin(sin(0)) = 0 but arcsin(sin(807)) # 807

A: Concept  arcsin(sin x) = x   is true  only when x lie in the interval [-π/2 , π/2]

Q: arc tan (2x)

A: Explained below

Q: Find the exact value of cot(arcsin 38).

A:

Q: Find arcsin if it exists. 2.

A: arcsin-32=-arcsin32sinπ3=32 or arcsin32=π3therefore     -π3=-arcsin32

Q: It is true that sin (3pi/2)=-1. Explain why arcsin (-1)≠(3pi/2)

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Q: arcsin (3 + j4) express in polar form

A: Any complex number, z=x+jy can be represented in its polar form as z=rcosθ+jsinθ, where, r=x2+y2  ,…

Q: Find the exact value of the expression, if possible. (If not possible, enter IMPOSSIBLE.) arcsin…

A: We have to find the value from the given

Q: what is the equivalent algebraic expression for the composition: tan(arcsin(x))

A: The given expression is,

Q: Evaluate arcsin (–1)   -0.8415     3π/2     - π/2     -7.8540

A:

Q: cos-1 2. sin-(-1) 3. arcsin (-) 2 2.

A: Use the inverse identity, f-1(f(x))=x So,  sin-1sinx=x    where x∈-π2,π2cos-1cosx=x    where x∈0,π…

Q: determine the exact value of cos(arctan 2/5) and rewrite tan(arcsinx) as an algebraic expression in…

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Q: Find degree measure Arcsin 3/4

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Q: arctan(2x) arcsin(see (7), find f

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Q: Find the exact value of the expression whenever it is defined.arcsin 0

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Q: sin 17° %3D

A: Given sin 17° = ?

Q: If  arcsin(x) = 1.25  then  arcsin(-x) = ?

A: It is given that, arcsin x=1.25 Take sine of both sides: sin arcsin x=sin 1.25 Result: sin arcsin…

Q: Explain why lim sin exists but lim sin does not exist. What is lim sin ?

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Q: mode.) 1. y = arcsin(0.92837781) 2. y = cot-(-0.92170128) 3. y = arcsec(-4.7963825)

A: To calculate the following values

Q: Sketch sine and cosine functions on a graph paper

A: Given We have to make the graph of sine and cosine function f(x) = sinx When x = 0 ;   f(0) = sin0 =…

Q: 1 6. arcsin (3x) xp- fr-9x² 2

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Q: Find the exact value of the expression. tan arcsin 2

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Q: True or false. Arctan x= arcsinx /arccosx

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Q: sinr 1. Show that

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Q: Describe the Identities Involving Arcsine and Arccosine?

A: we have to describe the identities involving arc sine and arc cosine.

Q: 5. arcsin 1

A: Solution ) arcsin1 = sin-1(1) [ Sin (π/2) = 1 ] Sin-1(sin(π/2) ) =π /2 Or in radian = 1.5714

Q: 7) Evaluate sin (arctan (arcsin (1))).

A: To evaluate the following.

Q: sin[arcsin(1)] = -1 1 sin 1

A: We know, sin[arcsin(x)]=x

Q: 11T is not 6 Explain why arcsin 2

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Q: s it true that arcsin sin π = sin arcsin π ? Explain your reasoning

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Q: Describe the Arcsine and Arccosine Functions?

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

Q: Find the exact value of arcsin (sin Be sure to explain your answer.

A: Given , arcsinsin7π3=sin-1sin7π3We have to find the value of arcsinsin7π3we know that, sin-1sin θ=θ…

Q: 2 sin (arcsin 0) = _____. -2 0 2 90

A: sin(sin-1x)=x  only when x∈ -π2, π2x=0 ∈  -π2, π2

Q: Explain how to use a sine curve to obtain a cosecant curve. Why can the same procedure be used to…

A: It is known that sine curve and the corresponding cosecant curve have same phase and same period. So…

Q: 21. Given g(x) = arcsin(x'), find g'(x).

A: Solution-

Q: Explain how a right triangle can be used to find the exact value of sec(arcsin(4/5)).

A: sin of an angle is defined as ratio between opposite side and hypotenuse. Let Creating a right…

Q: Define the Identities Involving Arcsine and Arccosine?

A: Identities Involving Arcsine and Arccosine functions are, sin-11x=csc-1x,  x≥1  or…

Q: Write down the characteristics of cosine function and draw its graph.

A: There are six trigonometric functions in which cosine is one of the trigonometric function. Cosine…

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: sin z Show that

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Q: tangent of æ cosine of æ arc length of æ sine of æ

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Q: arcsin(2x) ·

A:

Trigonometric Identities

Trigonometry in mathematics deals with the right-angled triangle’s angles and sides. By trigonometric identities, we mean the identities we use whenever we need to express the various trigonometric functions in terms of an equation.

Inverse Trigonometric Functions

Inverse trigonometric functions are the inverse of normal trigonometric functions. Alternatively denoted as cyclometric or arcus functions, these inverse trigonometric functions exist to counter the basic trigonometric functions, such as sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (cosec). When trigonometric ratios are calculated, the angular values can be calculated with the help of the inverse trigonometric functions.