Rewrite sin (x + in terms of sin x and cos x. Enclose arguments of functions in parentheses. For example, sin (2x). sin (z +5) | 6.

Q: Find all values of x such that sin 2x = sin x and 0 <x< 2m.

A: sin 2x=sinx⇒sin 2x-sin x=0⇒2 sin x cos x -sin x=0⇒sin x2 cos x-1=0⇒sin x=0  or  2 cos x-1=0 sin…

Q: sin? x 1- 1-cos x =-COS X

A: Here we have to use the basic trigonometric identity sin2θ+cos2θ =1 and we know that  a2-b2=…

Q: Find (f-1)'(a). f(x) = 3x³ + 2 sin x + 3 cos x, a = 3 (f-1)'(a) = Need Help? Read It

A: Given:- f(x) =3x3+2 sin(x) +3cos(x)  To find:- (f-1)'(a)

Q: f sin √x dx

A:

Q: Rewrite cos(x−π6)cos(x-π6) in terms of sin(x)sin(x) and cos(x)cos(x)

A: This is trignometry problem

Q: Rewrite 3 sin(x) +1 cos(x) as A sin(x + 4) A =

A: The trigonometric addition formula is sina+b=sinacosb+cosasinb. The given condition states that…

Q: If f (x) = – sin(x), then f (10) (x) is equal to A - sin(x) В - cos(x) C sin(x) D cos(x)

A:

Q: Express the given expression as a function of cos x. cos x + cos 3x cosʻ x – sinx

A:

Q: f(x) = (8 sin x + 3 cos x)tan1 -

A:

Q: Evaluate sin? 3x lim X0 1- cos 2x

A: The objective is to evaluate limx→0sin23x1-cos2x Since, limx→0sin23x1-cos2x is 00 form.

Q: f(a) tan(x) + sec(x) simplifies to where cos(x) f(x)

A:

Q: QI- Find the root of the functions within Ea < 4 % f(x) = e=*(3.2 sin(x) – 0.5 cos(x)) Given that x…

A: According to the given information, it is required to find the root of the function.

Q: Evaluate: sin rv1- 4 cos² x dx. /9 – (In r)² Evaluate: dr.

A:

Q: Let f(x) = sin x, g(x) = cos x, and h(x) = 2x. Find the exact value of the expression (h ∘…

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Q: Rewrite the expression as an algebraic function of x and y. sin(cos-1(x) – tan-1(y))

A:

Q: 2-x Q.1 1 Write the function f (x) = =cosx+3x² as the sum of an even and odd functions.

A: To write the function as the sum of even and odd functions.

Q: Rewrite  − 6 sin ( x ) − 3 cos ( x ) as  A sin ( x + ϕ ) A= ϕ=

A: see below the answer and calculation

Q: Rewrite 1 sin(x)+ 2 cos(x) as A sin(x + 4) %3D Note: o should be in the interval-T <¢ < II

A:

Q: Find (f-1)(a). f(x) = 4x3 + 4 sin x + 3 cos x, a = 3 (f=1)'(a) = |

A:

Q: 2T Rewrite cos x + 3 in terms of sin(x) and cos(x)

A:

Q: Rewrite – 4 sin(x) – 5 cos(x) as A sin(x + ø) A = $ =

A: Given the trigonometry function

Q: 5T in terms of sin(x) and cos(x) 3 Rewrite sin ( x +

A: sin(x+5π/3)

Q: f2(x) = (4x + 5)°, fa(x)= (2x² +x)VI, fa(x) cos(3r) – 2 sin? x, COS

A:

Q: Can i get help step by step?

A: Given

Q: A) f(x) = sin- 8

A: Since you have asked multiple questions in single request.so we will answering only first question…

Q: Rewrite sin x + in terms of sin(x) and cos(x). 3

A: We will use the below trigonometric identities to solve this

Q: Q5. Evaluate the expressions: x² + 4 1. sin sec 2. cos ( sin

A: Using Pythagoras theorem we calculate the given expression.

Q: If f(x) = 6 sin x + 10 cos x, then f'(x) = f'(4) =

A:

Q: f2(x) = (4x + 5)°, f3(x) = (2x² + x)/x, fa(x) = cos(3x) – 2 sin² x,

A: As this is a multiple subpart question according to the Bartleby Answering rule, only first three…

Q: Write the expression as an algebraic expression in x for x > 0. sec sin-1 x2 + 36

A:

Q: If f(x) = 5 sin x + 2 cos x, then f'(x) :

A:

Q: Find (f-1)'(a). f(x) = 2x3 + 5 sin(x) + 4 cos(x), a = 4 (F-1'(a) =

A: here we have a=4 so take f(x)=4 and solve for x using the graphing calculator to graph the function…

Q: Rewrite sin (x + A) in terms of sin æ and cos x. Enclose arguments of functions in parentheses. For…

A:

Q: If f (x) = - sin(x), then f (11) (x) is equal to A - sin(x) B - cos(x) sin(x) D cos(x)

A: Differentiate 11 times

Q: Given f(x) = x² +3 sin x+2 cos x. Find (f-ª) (2).

A:

Q: Consider the function on the interval (0, 2x). (x) = 4 sin? x + 4 sin x

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Q: Verify the identity: sin 2x = 2cot x sin2 x.

A: Given, sin 2x = 2cot x sin2 x. Now consider the right-hand side we get,  R.H.S=2cotx…

Q: 2 sin? x- cos x – 1= 0

A: Given : 2sin2x - cosx - 1 = 0

Q: If f(x) 7 sin x + 8 cos x, then f'(x) f'(1) = %3D

A: SOLUTION-

Q: If f(x) = 2 sin-(2), find f'(x). %3D Find f'(0.7).

A: Given, fx=2sin-1x3

Q: Find (f-1)'(a). f(x) = 2x3 + 4 sin x + 2 cos x, a = 2 (f=1)'(a) =

A:

Q: Rewrite sin(x + ¹(x + 11T) 6 sin (z + 11T) = in terms of sine and cosx.

A:

Q: If f(x) = 7 sin - (2²), then f' (æ) =

A: We know , d/dx (arcsin(x))= 1/√(1-x²)

Q: usuan COS -4 <xS 4 fx(x) = {16 elsewhere Find E [X2]

A:

Q: If f(x) f' (æ) = 2 sin x + 11 cos x, then f'(2) = %3D

A:

Q: Evaluate ∫sin3 x dx by splitting off a factor of sin x, rewriting sin2 x in terms of cos x, and…

A: the given integral is: ∫sin3x dx we have to evaluate the given integral by splitting off a factor of…

Q: Write the expression as an algebraic expressionin x for x>0. a.  sec [sin-1 (x/sqroot(x2+9))]

A: Since you have asked  multiple questions in single request  so we  will be answering only first…

Q: Simplify the expression to a trig function of x. cos (z -) = 0 T CoS x 2 %3D

A:

Q: Rewrite cos(x−3π/4)in terms of sin(x) and cos(x).

A: According to trignometry identity Cos(a-b) = Cosa Cosb +Sina SinbCos(π-θ) = - CosθSin(π-θ) = Sin θ

Q: Determine the domain of the function f(x) = √ (3x + 5) sin(5x).

A: Given: fx=3x+5sin5x We know that for sine function domain is R and for square root function domain…