sec x-1 sin x 9. sec x+1 1+сos x

Q: cos(x+y)-cot y-tanx 13. Cosx- sin y

A:

Q: sin x sec x 13. cos x sec x 14. tan x cot x sin r + tan ! 15. 1+ cot A 16. tan ! ese A

A: To simplify the given trignometric fuinctions.

Q: cot 20 = csc0– 2 sin @ 2 cos 0

A: on solving this trigonometry problem we will prove ,

Q: Using trigonometric substitution to solve: sin 2x + C 8 cos x√3-cos²x sin 2x 4 cos x√4-sin²x secx 8…

A:

Q: Using trigonometric substitution to solve: f cos x dx 3 (4-sin²x)2 11

A:

Q: 1. sin x csc x = 1 2. tan x csc x + cotx sin x = sec x + cos x Pythagorean Identities 3. cos? x (1 +…

A: 1.csc x=1sin xL.H.S.=sin x  csc x           =sin x 1sin x            =1 =R.H.S.sin x csc x=12.L.H.S.…

Q: sec² (x) tan?(x) cot (x) sin(x) cos (x) sin(x) 1 1 3 sin (x) sin(æ) + II II II

A: The given identities are 1-sec2xtan2x, 1sin3x-cot2xsinx and sinx+cos2xsinx.

Q: sin x COS X 2. tan x %3D cot x = sin x + cos x

A: Given  The identity is sin xtan x+cos xcot x=sin x +cos x .

Q: (sin x - cos x )² + 2cos x sin x

A: To simplify trigonometric expression

Q: Cos^2(x/2)=tan(x)+sin(x)/2tan(x)

A:

Q: sinx a) sin xtanx+ tanx cosx b) sin?xcos?x+ cos*x = (1- sin x)(1 + sin x)

A:

Q: COS X 3) sec x + tan x = 1 - sin x

A:

Q: sin x cos x-1 %3D COs x+1 sin x

A: sin xcos x +1+cos x -1sinx=0

Q: sin( – x) = cos x = COS X

A: Given: To prove that sin(π2-x)=cos x

Q: 1+ Cos(x)- Cos (x) Sin(x) + Cot(x) Sin(x)

A:

Q: Verify the identity:

A:

Q: Sin 2x- Cos 2.x Sinh (u-v) = Sinh u.Cosh v - Cosh u.Sinh v %3D

A: See the attachment

Q: sin“ x - cos+ x = sin? x cos?

A: We will solve the problem

Q: Sin x/cos x+cos x /sin x

A: Sin x/cos x+cos x /sin x

Q: sin³0 14. lim 0→0 sin0-tan 8

A: To find: The limit of limθ→0sin3θsin θ-tan θ. Formula used: Trigonometric relation: tan θ=sin θcos θ…

Q: sin x 1+cos x 1-cos x sin x

A: Let's prove that given trigonometric formula.

Q: S(csc x cot x + 7x°)dx O sin x – x' + c O cos x + x7 +c .7 O cot x + x' + c tan x + x' +c - csc x +…

A: To integrate.

Q: Cos(x) 一+Sin (x) sec (x} I +sin (x) Cos(x)

A:

Q: المقدار التالي في ابسط صورة (sin x + cos x) (tan x + cot x)

A: Topic:- trigonometry

Q: sin(en sin-lx )dr =- cos( sin-!x) +C V1-x? A) True B) False

A: To solve the following integral

Q: (cos x-1)(1+cos(-x))=-sin' x

A: cosx-11+cos-x=-sin2x

Q: 1. sec?x csc² x = sec?x + csc?x 2. sec4x- sec2x = tan4 x + tan²x 3. (1- sin x) / cos x = cos 4. (1 +…

A: Note: As per our company guidelines we are supposed to answer the first sub-parts of the question.…

Q: 2 2. CSc x-cot X CSC x+cotx tan x

A:

Q: Integrate using the method of trigonometric substitution. Express the final answer in terms of the…

A:

Q: os x cot x 4. cosx-sin x cot x -1

A:

Q: lim_cos-(x – V3) 3. V3 X→- 2 (express answer in radians)

A: To evaluate: The limit limx→32cos-1x-3. Calculation: The value of limit limx→32cos-1x-3 can be…

Q: 2 sec² x – 2 tan² x = sin 2x sec x b) sin (- x) cot ( + x) = – sin x a) CSC X

A: We will use  secx=1cosx,tanx=sinxcosx and  sin(π2-x)=cosx,cot(π2+x)=-tanx

Q: cos x sin x cos 3x sec 2x csc 2x

A: We have to verify the trigonometric identity cos xsec 2x - sin xcsc 2x = cos 3x

Q: sin x.cos x 1+ 2.In x

A:

Q: sin' Integrate: Sin 14 x cos.

A: Let sinx = t

Q: Use the definition of the derivativeand the trigonometric identity

A: Given function is fx=cosx

Q: (sin(x) + cos(x))² = 1 + 2 sin(x) cos(x)

A: Topic-trigonometry identities

Q: cos x + sin x dx Evaluate sin 2x

A:

Q: II. Apply trigonometric identities to find other trigonometric values 1. cos x = sin x> 0 2. sin x =…

A: The given question has been solved in detail

Q: sin x COS I 2. 1+ sin(2x)

A: Use the following trigonometry formula:-  (i)  1 = sin2x + cos2x  (ii)  sin(2x) = 2sinxcosx

Q: i Solve cach trigonometric cquation. 1. sin x tan x = 0 2. secx + tan x = 0 tan 0 cot 0 + V3 tan 8-…

A: we can answer only three subparts, or the first question and the rest can be reposted. No more than…

Q: sin x 1 Cos x sin x ||

A:

Q: (sin x +cos x)^2 =1+sin x cos x

A:

Q: sin x + 1 49. = tan x cos x + cot x

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: sin x – cos x 1+ sin(2x)

A:

Q: 2 tan x sin 2x 1+ tan? x

A: To prove:- 2tanx1+tan2x=sin2x

Q: sin x b. 1+cos x 1-cos x sin x

A:

Q: CSC X cot x -1 Prove sin x tan x

A:

Q: 3. cosʻx– sinªx = 1 – 2 sin? x

A: Using Trigonometry identities,