In|tan 0| = In|sin 0| – In|cos 0| -

Q: Evaluate the integral. ∫Sin3 θ Cos 4θ  dθ

A: We have given;

Q: 7) e* Cos 2x

A: The function is  f(x)=e-xcos(2x)

Q: Find the numerical value of each expression. 1) Sinh 0   b) Cosh 0

A: a) We plug x=0 in the formula of sinh(x)

Q: Prove the following Sin hZ=0

A:

Q: Locate and identify the absolute extreme values of a. ln (cos x) on [-pai/4, pai/3], b. cos (ln x)…

A: a.Given:

Q: Evaluate the indefinite integral ∫ sin8 θ cos θ dθ

A: Let and differentiate it with respect to and find .

Q: 3. Find the integral of these Trigonometric functions

A: Hey, since there are multiple sub-parts posted, we will answer first three sub-parts. If you want…

Q: Find an expression for the nth tion for the function cosh r

A:

Q: Prove the identity sin(-0)- cos (+0)

A:

Q: Use Euler’s Formula along with the relationship ei(x+y)=eix  eiy to derive the sum formulas for…

A: Derive the sum formulas for both sine and cosine.

Q: In each part, rewrite the expression as a ratio of polynomials. (a) cosh (ln x) (b) sinh (ln x) (c)…

A: a)  Given expression is cosh ln x. As cosh x=ex+e-x2 So, cosh ln x=elnx+e-lnx2=elnx+elnx-12=x+1x2…

Q: Express 8 - 4i in exponential form reże, where is in radians to 3 decimal places, and in the range 0…

A: Introduction: Complex numbers are represented in polar form as the complex number's modulus r and…

Q: 2 cos" (x)–sin°(z)+1 cos(x) 3 cos(x) 10. Verify the following identity, justifying each step.

A:

Q: Establish the identity. cos e 1 cos 0- sin 0¯ 1- tan 0

A: Given,            cosθcosθ-sinθ=11-tanθ

Q: Using e and e expansions, find sinh x.

A:

Q: Substitute the expressions for u and for du to write tan(5x + 8)dx in terms of u. tan(5x + 8)dx = |…

A:

Q: In the given question, verify the identity:- sinh(x + y) = sinh x cosh y + cosh x sinh y

A: Consider the provided identity, sinhx+y=sinhx coshy+coshx sinhy Verify the provided identity.…

Q: Express (cos(20)+i sin(20))*in exponential form

A:

Q: Locate and identify the absolute extreme values of cos (ln x) on [1/ 2, 2].

A:

Q: sin(20nnt) AS(t)ln:odd = Ln=1 %3D

A: The Given problem is:…

Q: In the given question, verify the identity:- cosh x - sinh x =- e-x

A: As we know that the hyperbolic function of the inverse trigonometric identity is given by as…

Q: sin xv1 – cos xdx

A: Explanation of the answer is as follows

Q: In the given question, verify the identity:-   sinh 2x = 2 sinh x cosh x

A: To prove  sinh2x=2sinhxcoshx.

Q: Find 1+sin -cos I COS In | sin - z+cos In In 1+tan +C +C +C +C

A: We can evaluate the given integral by using the substitution u = tan (x/2).

Q: It can be shown by induction that the nth derivative of the sine function is given by the formula d"…

A: Givendndxn(sin x)=-1n-12cos xn odd(-1)n2sin xn evenTo findwhether the given formula is correctTo…

Q: sin ede 1- cos e 8.

A: The integral of sinθ is given by -cosθ and the integral of cosθ is given by sinθ. The basic formula…

Q: Express (cos(40) + i sin(40))' in exponential form

A:

Q: Find the e and simplify whenever possible. dx 1. ут 1-cos 4x sin 4x

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: tan x dx = In|sec x|+ C

A:

Q: sin (z) 1-con(E)

A:

Q: Verify the identity by transforming the left-hand side into the right-hand side a. (1 + sin θ)(1 -…

A: Given, We have to proof a. (1 + sin θ)(1 - sin θ) = 1/sec2 θ b. log tan θ = log sin θ - log cos θ

Q: Verify the identity by transforming the lefthand side into the right-hand side.

A: Consider the given equation. logtanθ=logsinθ-logcosθ Take all the value right side of the equation.…

Q: 3 1 y = log| cos DIFFERENTIATE THE GIVEN:

A:

Q: Verify the identity. 1- sin 0 cos e cos 0 1- sin 0 =2 sec e To verify the identity, start with the…

A: We can verify the identity as below using trigonometric formulas.

Q: Prove the identity. TT COS +0+ -sin 0

A:

Q: Find the indefinite integral. sin3 70 cos 70 de

A: Topic = Integration

Q: Verify the following identities: cot (-0) =- cot e csc x (1-sin 1. 2. x) = cot x 3. COS X CSC x tan…

A:

Q: is the root accurate to 4 decimal places root 3x cos(x)-1=0 Win7

A: We have to use Newton-Raphson method which is widely used in finding the root of equations.

Q: 1) Compute each derivative, show all work. Submit your work as a pdf. a) sin (1+ e3a b) tan (3x? +…

A:

Q: Verify the trigonometric identity sin(z - 1/2) = - cos(z)

A:

Q: Assuming that A is a positive constant, calculate the integral sin-(Ar) dr.

A: Solution: the objective of the value of the given integral

Q: Find or evaluate the integral

A: To Determine:  Find or evaluate the integral Given: we have an integral ∫sinθ1+cos2θdθ Explanation:…

Q: What is the smallest number x such that tan e^= 0.

A: Given: The equation tanex=0 To find: The smallest number xsuch that the given equation is satisfied.

Q: Expand Sinx by Maclaurin's Theorem. Expand log(a+h) by Taylor's Theorem.

A:

Q: Each gives a value of sinh x or cosh x. Use the definitionsand the identity cosh2 x - sinh2 x = 1 to…

A: Since, we have been given that cosh x=135, x>0  -(i)Our Aim is to find the values of the…

Q: O Cos2 : log (27e-i) @ Tani'z= į log ) Hical prove that O cos

A: we have to prove that   cos-1z=1ilog[z+z2-1]   let cos-1z=w...... (i)    ⇒z=cosw..... (ii) now we…

Q: [sin’ @ cos' Ode

A:

Q: Determine the definite integral 3 sin* 0 cos³ 0 d0

A: Let I is the value of given Integral

Q: Prove the identity. cosh?x (cosh(2x) + 1) 2

A: