Which of the following is true about sine and cosine functions?

Q: Write sin(2x) cos(8x) as a sum of trigonometric functions.

A:

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

A: Given: Let y=cos 2 sin-1 45 To Find: Exact value of given expression

Q: identify A, B, C, and D for the sine functions in Exercis "y = 2 sin (x + p) - 1"

A: Consider the provided function, y=2sinx+p-1 Identify A,B,C and D for the sine functions. We know…

Q: Can the sin x ever be a value greater than 1?

A: We have to find the sinx value

Q: What is the exact value of Cos- 4 ?

A: We will find the value of cos(-5π4) .Below find the solution in the image.

Q: Find the inverse of the following function and state its domain. f(x) = 4 sin(2x) Type 'arcsin' for…

A: Here we have to find inverse of f(x) and domain of f-1(x)

Q: Give the  examples of several inverse trigonometric functions?.

A: I will give one example for each trigonometric function and how to get the inverse trigonometric…

Q: Find the exact value of the expression, if it is defined. cos sin 2

A:

Q: Express y in terms of x if the inverse sine of x is equal to the inverse tan of y.

A: Given sin-1x=tan-1y.  Assume θ=sin-1x so sinθ=x. Therefore using identity sin2θ+cos2θ=1:…

Q: Write sin 3x cos 5x as a sum of trigonometric functions.

A:

Q: Which of the six trigonometric functions are not defined at 0?

A: To Determine:  Which of the six trigonometric functions are not defined at 0? Given: considering all…

Q: Which of the following is not equivalent to sin 0?

A: We are asked to find which is not equivalent to sinθ

Q: 7) Find the exact function value If It exists. a) Sin-240° = %3D b) Sec 270° =

A:

Q: How do you convert the given cosine to the given sine function in the attached image?

A: To convert cosine in y=6 cos π7t  to y=6sinπ7t+72.

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

A:

Q: What is the exact value of cos-(165°)?

A:

Q: Find the amplitude, the period in radians, the phase shift in radians, and the vertical shift.…

A: NOTE: Refresh your page if you can't see any equations. . compare this function with  so here we…

Q: Which of the following will yield an inverse trigonometric function?

A: answer is in next step

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: write sin( arccos (2/x)) as an expression in terms of x with no trigonometric functions

A: To write the given expression in terms of x.

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

A: (a) sin-1-12=-sin-112                ∵sin-1-x=-sin-1x =-sin-1sinπ6   =-π6                          ∵…

Q: Which of the following products of trigonometric functions of different frequencies is equivalent to…

A: This is a problem of identity and counting and frequencies.

Q: 1 (a) sin- (b) cos (-) (c) tan-' (- V3) 3. 2.

A: (a) The expression is  sin-1-22 By using the property, sin-1(-x)=-sin-1(x) sin-1-22=-sin-122 Let…

Q: )サー cos( sinx)

A: It is given that the function fx=cos-1sinx. The given function is of the form fgx, by using the…

Q: Use a sketch to find the exact value of the expression cos (sin-1 4/5)

A: given expression: cossin-145we have to find the exact value of the expression

Q: Simplify to an expression involving a single trigonometric function with no fractions. cos( – x) - +…

A:

Q: Which of the six trigonometric functions are undefined when x = 0? Which of the six trigonometric…

A: Consider…

Q: For a function to have an inverse, it must be. To define the inverse sine function, werestrict the…

A: Given   Sinx

Q: When do we use the addition and subtraction formulas for sine or cosine?

A: The sine addition formula adds both terms, where the cosine addition formula subtracts and the…

Q: Define the term general sine function?

A: Given: Define the term general sine function?

Q: How are the sine and cosine functions related to the other fourtrigonometric functions?

A: The objective is to show how the sine and cosine functions are related to the other four…

Q: Simplify to an expression involving a single trigonometric function with no fractions. cos( – x)…

A: The given trigonometric expression is,

Q: How would I answer this Write a sine function that has an amplitude of 2, a midline of 3 and a…

A:

Q: Cos-Sine++tan e 2tano %3D

A:

Q: Write sin(5x) cos(8x) as a sum of trigonometric functions.

A: Given that, sin 5x cos 8x We know that, sin(a+b)=sin a cosb+cos a sinbsin(a-b)=sin a cos b-cos a sin…

Q: What is the equivalent of the given expression in terms of sin x? *

A: Here we have to write an equivalent expression of the given expression:-  A=1-sec2xsec2x

Q: Evaluate without using a calculator.       sin ( cos  -1 1/2)

A: sincos-112

Q: What is the amplitude of the graph of y = tan x? Explain. Which other trigonometric functions, if…

A: the solution is given below

Q: Find the five trigonometric functions in terms of t, if sint = - x+1

A: Given:sint=xx+1

Q: Explain why the domain of the sine function must be restricted in order to define its inverse…

A:

Q: entify the other five trigonometric functions if sec A =- 3 and tan >0

A: Given query is to find trigonometric functions.

Q: Evaluate without using a calculator. sin cos 3

A:

Q: In your own words, explain how to find the amplitude and midline of a sine function. V EE

A: Let us assume a sin function is: f(x)=a·sin(b(x-c))+d So the amplitude is= a The midline is: y=d…

Q: Find the values of other five trigonometric functions if cosx=(-1/2) if x lies in third quadrant

A:

Q: Find a possible formula for the trigonometric function whose values are in the following table. 1 3…

A: The solution is given below in the next step:

Q: Which of the following six trigonometric functions are we able to integrate ?

A: six trigonometric functions that can be integrated are

Q: What tyfe of fundion is 4= COS0 +Sine e.g. power Function?

A:

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.