4 sin 0, /2 < 0 < Tt/2. Simplify the expression Let x X 16 x2

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: Solve for the root of f(x) = Solve for the root of f(x) = sin 4x if x₁ = -2 and XR = e-²x − 4 if x₁…

A:

Q: 14. Find the smallest positive root of tan x+2 tanh x = 0.

A: Newton Raphson Method:- The root is xi+1 =xi - fxif'xi; i=0, 1, 2, ....   Given equation is tanx +2…

Q: 1+ sin® (x*))* 8

A: Given: y = [1+ sin6(x8)]8

Q: 2. Evaluate 8 sin x Xx dx

A:

Q: Estimate the error if P 3(x) = x - (x^3/6) is used to estimate the value of sin x at x = 0.1.

A: Given:

Q: Show use of variable substitution to factor and solve over (0,2pi) when necessary. 4. 6sin2 θ -…

A: →Let sinθ = x and solve the quadratic equation.→We will get two factor after factorization.→Use…

Q: solve for x so that sin[2(tan^-1(3/x))]= - 3/4

A: We have given sin2tan-13x=-34 Then,…

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

A:

Q: 2. By hand, showing all steps, determine sin 4x sin 5x lim x sin 3x

A:

Q: 5. Evaluate 1. sin(x2) dx

A: NOTE: You have posted multiple questions, we are giving answer to the first question for you. If…

Q: sin ( 27 +1)x Prove that dx =7 for all ne N. Sin x

A:

Q: Solve 2cos (x)- sin(x)=2 exactly for all x in the interval [0,27).

A: 2cos2x-sinx=2⇒21-sin2x-sinx=2…

Q: 2/2 and <x< 3 Зл find tan 2x. 2' 4. If sin x

A:

Q: If f(x) = 7 tan-(2 sin(4)), f'(2) =|

A:

Q: If f(x) = 2 sin- (24), then f'(x) =

A:

Q: 4. If x= sin² and y = 1 when x = 0, then find the value of x when y = 3. 0 O 8 None of these

A: Topic- differential equation

Q: The expression sin(x) cos(x) - cos³(x) simplifies to f(x) sin(x) Determine f(x).

A: The given expression is: sinxcosx-cos3x As we know the trigonometric identity; 1). cosx=1secx 2).…

Q: 7. J(1) - sin(4.x | 7r)

A:

Q: What is the domain for f(x)=square root 1-sin x? And explain why x cannot be equal pi/2 and 5 pi/2?

A: We draw graph of function f(x)=square root 1-sin x

Q: Can i get help step by step?

A: Given

Q: 2.2 Find all values of x in the interval 0<x< 2n for which -< sin x < 2

A: Given that -12&lt;sin x&lt;12.…

Q: 13. sin (x+ 77)° = cos (x –9)°

A: Given,  sin12 x+77°  = cosx-9°   We have to find the value of x.

Q: sinh(3r) 3. Solve for f(21) (x) given that f(x) = 3 %3D

A: We know, ddxcosh(mx)=msinh(mx) , for any real number m. ddxsinh(nx)=nsinh(nx) , for any real number…

Q: 1 If f(x) = 8 tan¯¹(8 sin(2x)), f'(x) =

A: Differentiate

Q: Find all values of x in the interval [0, 2n] that satišty the equali 6 + 3 cos(2x) = 9 cos(x) X =

A: We have to find

Q: ex-e2 1. lim x→2 x-2 x2 2. lim X0 sin 5x2 3. lim 5 cos 3x2-5 sin 8x2

A:

Q: If f(x) = 5 tan-1 x, then find the value of f'(3) is 3

A: As we know,                            ddxtan-1x = 11+x2

Q: Solve the equation for x, where x is restricted to the given interval. 元 兀 y = -6 sin 3x, for x in 6…

A: The given equation is  y = -6sin(3x) on -π6, π6   To determine: The value of x of the equation y =…

Q: -1 Prove sin xdx = --1 2

A: First we will find the solution for indefinite integral ∫sin-1x dx then we will find the solution of…

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

A: Using Pythagoras theorem we calculate the given expression.

Q: 1. Find the exact value of x if 0<x<270 degrees 2cos^2x =1-sinx (Non-anonymous questionO) *

A:

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

A:

Q: If f(x) 5 tan (7 sin(2r)), f'(x) =

A:

Q: The root of sin x - (1 /3) x = 0 close to x = 2.2. %3D

A: We have to find the root of sinx-13x=0 close to x = 2.2.

Q: a( :). sin x Δ x2+2x-1

A: We have to solve given problem:

Q: Give the domain of f(x)= 8 sin π/7 (x−14)−27 in interval notation

A: the domain of a function is the set of input for which the function is real and defined .

Q: 8. Write an algebraic expression in x that represents the value of the expressiontan(sin-(2x)),…

A:

Q: 2x = sin - (-;) 2x = 6. 12 Thus, the value is x = 4 over the interval [0, 27). 12

A:

Q: 7. Solve 2sin2(0)-sin(0) – 1 = 0 on the interval 0<0 < 27. (5 marks)

A: Given equation is : 2sin2θ-sinθ-1=0 on the interval 0 ≤ θ ≤ 2π We have to find θ.

Q: Solve for x over the real numbers: tan(36°) : 4.583333

A:

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

A: Given, fx=2sin-1x3

Q: If f (x) = - sin(x), then f (10) (x) is equal to = - sin(x), thenf (10) (x) is equal to A - sin(x) B…

A:

Q: Find all solutions of sin x = square root 3 over 2

A: Given equation equation is sinx=32. We have to find the solution of the given equation. The general…

Q: Evaluate L{3 (r² – 1) sin (21) + 7e cosh (41)}

A:

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

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

Q: 7 – 6 sin x 1 Find f(x) given that f'(x) +-. COS x

A: f'(x) =7-6 sin xcosx+1x