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

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: If e /2i =sin2 then z = 2i In(sin2) + 4k TI - 2i In(sin2) – 4k TI - - 2i In(sin2) + 4k TI - -2…

A: Use the principal log to find z.

Q: Verify the identity: cos2 x - sin2 x = 2 cos2 x - 1

A:

Q: 1 sec- x = cos

A: Given, sec-1x=cos-11x   Check it is True or False:

Q: Solve Integral 4 different ways . S sin θ cos θ dθ

A:

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

A:

Q: Chapter 6, Section 6.3, Question 012 Use the Fundamental Theorem to evaluate the definite integral…

A: Given,

Q: Prove the identity.   (cosh x + sinh x)n = cosh nx + sinh nx  (n is any real number)

A: The cosh x and sinh x are given by, LHS =

Q: Prove the identity. cos(3x) − cos^3 x = − cos x sin^2 x − sin x sin(2x)

A:

Q: Verify the identity cosh2 x = (1 + cosh 2x)/2

A: We simplify each side using the formula of cosh(x)   Left side:

Q: Verify the identity. cos x = sin x sin 2x + cos x cos 2x

A: we have to verify the identity

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

A:

Q: sin( 2 cos (x/ 20 )) = Select one: O 2x (400 - x )°/(400 - 2x) O 40 x/ (400 + x) O ( 2x - 400 ) /…

A:

Q: cos ( - i ln3) is equal to, COS O 4/2 O 5/2 4/2 2. O 5/2 6. 4/2 23,

A:

Q: Suppose cos x = - , where n < x < * . Find the exact value of cos(x – 4) . COS

A: cos(A-B)=cos A cos B+ sin A sin B

Q: Prove the identity sinh 2x = 2 sinh x cosh x

A: Prove that: sinh 2x = 2 sinh x cosh x

Q: Use th Start! 1- cos 2x

A: Given:1-cos2x/cos2x To simplify we use some trigonometric properties

Q: Find the value of cos(4x) if = 4. 3 1-cos(x)-sin(x)

A: trigonometry

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

A:

Q: tan20 21-25. Verify = sec?e – sec 0 cose + 1

A: To verify: That tan2θcosθ+1=sec2θ-secθ. Formula used: Trigonometry identity: tanθ=sin θcos θ…

Q: tan x 4. a) Evaluate dx. In (cos x) b) Evaluatef e4*x3 dx.

A:

Q: 21 Prove the identity.cos x (1 ²x) 2 2. - sin sec X,

A: Consider the given identity cos2x1-sec2x=-sin2x.

Q: Estimate cos E- 0.1) + cos

A: Follow the procedure given below.

Q: Assuming that |a| < 1, find the value of cosh ax dr. cosh x

A: It is given that,a&lt;1, we have to find the value of              ∫0∞coshaxcoshxdx

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: Establish the identity. 2 cos - 0 1- 1+ sin 0 = sin 0

A:

Q: Prove the identity arcsinhx=ln(x+√1+x2).

A:

Q: Verify the identity: sec x - 1 = sec x 1- cos x

A: Now , we will verify the identity.  We know,  1/cosx = secx .

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: 1 1-Sine Cose Cos0, tan0 in terms of u. (ans.:(u-1/(u+1): 2w(u+1):(-1/(u+1)) 1+ Sine 10. If u= prove…

A: Given thatu=1+sinθcosθ ..........(1)to prove that1u=1-sinθcosθ

Q: sin ²e + cos²e =(1)". if n>1

A:

Q: Graph the function over a 15) y = 4 + 2 sin(x - 7) one-period interval. %3D

A: Given: y=4+2sinx-π for graph given function, first we simplify it so, y=4+2sinx-π=4+2sin-π+x…

Q: sin(cos (0.5354)) = O 0.8446 O 1.8446 O -0.1554 O -1.1554 O 2.8446

A:

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

A:

Q: Verify the identity: sin (3π/2 - x) = -cos x

A: To prove  sin (3π/2 - x) = -cos x

Q: cos(Inɔx),>o

A:

Q: Prove that: sinhx + coshx = e* %3D

A: we have  sinh(x)=ex-e-x2cosh(x)=ex+e-x2

Q: If ln sin x = 1 + ln cos x, then x is equal to what.

A: Given that , lnsinx=1+lncosx find value of x.

Q: 9. cos(x-)

A:

Q: Hw) Prove That:- 0 sinhz = log (z+lz*+) e coshz= Loy (2/23) ® Tanh'z = +2 1-2 Examml

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: Prove the identity: sin² 0-cos²0 sin 0+ cos 0 = sin 0-cos0 -

A:

Q: tan (log x) 2 dx 2 x(1+log*x)

A:

Q: sin(cos (0.715)) O 2.6991 O -1.3009 O -0.3009 O 1.6991 O 0.6991

A: Given,               sin(cos-1(0.715))

Q: Verify the identity. cos (x+n) = - COSX

A: By using trigonometric formula, we verify the given identity

Q: Verify: cos x+4 cos x+4 2 sec x+1 %D cos x+2 sec x

A: Given,  cos2x+4cosx+4cosx+2= 2secx+1secx  We have to verify relationship.

Q: cos(sin (0.4252)) : O 1.9051 O 0.9051 O -0.0949 O -1.0949 O 2.9051

A: sin^-1(0.4252)=0.43918284434 that is cos(0.43918284434) =0.90509941995

Q: Determine the equivalent of log4i sin(3 – 4i). Express your answer in rectangular form.

A: The given problem is to evaluate and simplify the given complex expression and express in the form…

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.