Use reference angles and right triangle trig to find the 6 trig functions of 0 if = 210°. Be sure to include a drawing. You do not need to rationalize.

Q: Simplify the expression to a single trig function of t. tan 2 %3D

A: To find: The simplified form of the expression tanπ2+t in single trigonometric function of t.…

Q: Use an inverse trigonometric function to write θ as a function of x.

A:

Q: Assume that alpha is an angle in standard position whose terminal side contains the point (6, -6).…

A:

Q: Use an inverse trigonometric function to write 0 as a function of x. 3

A: To express angle in terms of inverse trigonometric ratio.

Q: Write 1 2 sin? (7x) as a single trig function, simplifying as much as possible.

A: Given 1-2sin2(7x)We know that cos(2θ)=1-2sin2(θ) and here θ=7x⇒cos(2*7x)

Q: Write 2 cos(4x) sin(4x) as a single trig function, simplifying as much as possible.

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Q: Find the function values sin2 π/12

A:

Q: Find the exact value,if any,of each composite function.If there is no value,say it is “not…

A: Exact value of cscsin-132

Q: Find the function value without using a calculator. sin 60°

A: It is known that in a right angled triangle with a angle θ,the sine angle is defined as the ratio of…

Q: Write a cosine function that has a midline of 5, an amplitude of 4 and a period of .

A: We will use standard form of Cosine function here

Q: Write an equation of the form y =a sinbx or y = a cosbx to describe the graph below. 4+ 3+ 2 37 9%…

A: An equation of the form y=asinbx is a sine curve with amplitude a and period 2πb. A cosine curve of…

Q: Write the equation of a sine or cosine function to describe the graph. `y 10n 3 3 3 \3 -1 -2

A:

Q: Find the exact value. Do not use a calculator. tan 2n

A:

Q: Write an equation of the form y =a sinbx or y = a cosbx to describe the graph below. 3+ Osino Ocoso…

A: To write an equation of the form y=a sin bx or y=a cos bx to describe the graph below.

Q: For y=-2sin 3x- +4, find the amplitude, period, horizontal shift, and midline equation. 2

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Q: Simplify cos(r - ) to a single trig function using a sum or difference of angles identity.

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Q: Find x if it is the measure of an acute acute in a right triangle and tan x =9.254.

A: tanx=9.254

Q: Write an equation using sine that describes the graph on the left. 5- (7/4, 3) (1/2, 1) (7.1) Submit…

A: Let us choose a portion of the graph.  The general equation of a sine curve is y=asinbx+c+d Here,…

Q: Next Question: If the terminal side of an angle goes through the point (4, 9), evaluate the six trig…

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Q: Given the function  y = 5 arcsin(x),  find  y'.

A:

Q: Write the expression 4sin2xcos2x as a single trigonometric function.

A: Given4sin2xcos2x

Q: Simplify sec(π/2−t) to a single trig function using the sum or difference of angles identity.

A:

Q: Write an anonymous function which takes the sum of the square of the Sin and Cos of an argument

A: Solution :-

Q: What is the range of the cosine function?

A:

Q: graph the function using radians in #2

A: Plot the graph of the given functions.

Q: Find the exact value.Do not use a calculator. tan(-3π)

A: To find: The exact value of tan-3π. Formula used: Trigonometric formula: tan -θ=tan θ tan nπ+θ=tan θ

Q: Use an inverse trigonometric function to write 0 as a function of x. 6.

A: Use inverse trigonometric function

Q: Find the function values sin2 3π/8

A: we have to find the value of the given trigonometric function. sin23π8

Q: Find x if it is the measure of an acute angle in a right triangle and cos x =0.0670.

A:

Q: Use substitution to determine whether the given x-value is a solution of the equation: tan 2x =…

A: Given:tan2x=-33,  x=5π12Formula:tanA-B=tanA-tanB1+tanA tanB

Q: Write an equation of the form y = a sinbx or y = a cosbx to describe the graph below. 3. 2- -1 -2-…

A: The equation is, y = - (5/2) sin(x/2)  Where, a = - (5/2) &, b = 1/2

Q: Graph the equation. p2 = 9 sin 20 (8,45) (8, 225) (8.4 5) (3, 225)

A:

Q: Simplify sec(π2−u)sec(π2-u) to a single trig function using the sum or difference of angles…

A: here function is sec(π/2-u)sec(π/2-u)

Q: Which of the following is equal to arcsin(-V3/2)? -27/3 -T/3 T/3 27/3 ООО

A:

Q: Given the diagrams below, fill in the correct missing parts of the equation. Be careful with + and -…

A: For third part of your question reupload it according to bartleby guidelines

Q: For equations containing trigonometric functions with different arguments, use anappropriate…

A: Fill the blanks as shown below.

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

A: We have the give expression as sin-122 As we know that, sin-1sinθ=θ   if θ∈-π2,π2

Q: Evaluate function cos(arctan squareroot 3)

A:

Q: Simplify tan to a single trig function using a sum or difference of angles identity. Question Help:…

A: Given query is to find the simplified function.

Q: Suppose that θ is in standard position and the given point is on the terminal side of θ. Give the…

A:

Q: Use the power reduction formulas to rewrite the expression. sin (6x)

A: Here, we have to rewrite the given expression in simplest form. It means that eliminate the higher…

Q: Evaluate the expression below without using a calculator. sin(2cos-()) =|

A:

Q: 2х— х2

A:

Q: Identify the argument of the function. sin(x + ) 4.

A: the given function is,sinx+π4

Q: Graph the function r=2−3 sinθ

A: The given function is r=2−3 sinθ.

Q: Use a right triangle to write csc(arccos(3*x/2)) as an expression of x that does not involve trig or…

A: Given:The expression csc(arccos(3x/2))

Q: wer as a sinc

A:

Q: Find the exact value of csc 300 degree

A: Given:csc 300°

Q: Write the function term of its cofunction. Assume that all angles labeled θ are acute angles. Sec…

A: Consider the given question,The cofunction identities show the relation between sine and cosine,…

Q: Find the exact value of the expression. Do not use a calculator.

A: We know that, by property of inverse trigonometric functions tan-1-x=-tan-1x          ⋯⋯1

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.