2 tan x sin 2x 1+ tan? x

Q: csc.x- cot x Prove the identity: cot x sec x -1

A: To prove: csc x-cot xsec x-1=cot x It is known that, csc x=1sin xsec x=1cos x

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: cos x- senx = cos4 x - sen x tan e tan a-1 tan a-coto (sec x + 1)(sec x-1) = tan?x

A:

Q: sin x COS cosx tan x cot x sin X COS X %3D

A: To verify the identity:-

Q: S sin. sin x cos 8xdx

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

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: sin x cOs x 1 – sin x 2sin x 2 cos x 3 cos x -1

A:

Q: sin 0 lim 0-0 sin 20

A: To evaluate:limθ→0sin(θ)sin(2θ) Solution: limθ→0sin(θ)sin(2θ) On simplifying further we get:…

Q: number 2. Prove the identity: ( [tan] ^2 e - (sin] ^2 0) / ( [sin] ^2 e) = [tan] ^2 e

A:

Q: sin(x + /4)= sin(x) + Cos(x

A:

Q: sin x- cos x sin xcosx- cos x .2 CoS

A: To simplify

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: sin x tan : :: cot : Cos x

A:

Q: 1 - cosa 1- cosa Show that tan- 1 + cosa sina

A: To show: tanα2 = ±1-cosα1+cosα = 1-cosαsinα

Q: proof trigonometry identities tan^4(x)-1/(sec^2(x)(tan(x)-1))=tan(x)+1

A: Given that

Q: Using trigonometric Identities

A: we know that sin-θ=-sinθ so, sin-π3=-sinπ3                                                     ∵…

Q: cos² x 3D1-tan x cos x 1+ sin x

A:

Q: / sin(3æ)sin(9æ)dx. Evaluate

A: We have to evaluate the given integral

Q: proof trigonometry identities sec(x)+tan(x)=cos(x)/(1-sin(x))

A:

Q: Proving Identities Verify the identity. 1. sin e (cot e + tan 0) = sec 0 2. (sec 0 – 1)(sec 0 + 1) =…

A: 1.To prove - sinθ (cotθ+tanθ) = secθTaking L.H.S - L.H.S = sinθ(cotθ+tanθ)L.H.S = sinθ…

Q: sec x-1 sin x 9. sec x+1 1+сos x

A: We have to check

Q: tan² x 1. Simplify: - 1+secx 2. Simplify: cot? x (sin² x) 3. Verify: sec²x cot x – cot x = tan x

A: Since you have posted a question with multiple subparts, we will solve first three subparts for you.…

Q: sin x+ tan x+cos´ x

A: We have to simplify  For this we will use the trigonometric identity formula.

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

A:

Q: 2-tan a If sin(x + a) = 2 cos(x – a), then tan x 1-2 tan a True False Leave Question

A:

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

A:

Q: sin x + sin x cot² x = csc x

A:

Q: Using Trigonometric Identities Find      ∫tan2 2x dx.

A:

Q: sin 30 25. lim 0→0 tan 20

A: Evaluate the given limit.

Q: Error Analysis Describe the error.sin θcos(−θ) = sin θ−cos θ= −tan θ

A: Error Analysis Describe the error.  sinθcos-θ=sinθ-cosθ=-tanθ

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' 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: Powers of tan x Evaluate ∫ tan4 x dx.

A:

Q: + tan x using identities? 2. Which expression is equal to tan x Cos sin x cos x sin x sin x cos x

A: The solution is given below

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

A: Topic-trigonometry identities

Q: 8. tan 6a sec 3a = 2 sin 3a sec 6a

A:

Q: tan + cos x tan = sin x IN

A:

Q: sin x 3. cot x + = CSC X 1+ cos x

A: Cot x = cosx/sinx

Q: cosx Prove the identity: tanx+ sec x 1+ sin.x

A:

Q: sin 0 lim 0 →n/2 In sin 0

A: It is given to Answer only the third Question :

Q: 1- tan? x cot 2x 2 tan x

A:

Q: 9. sec2 2x –1 = 1- cos 4x 1+ cos 4x

A:

Q: 7. 2 cot 4x = cot 2x – tan 2x

A: The objective is to verify the trigonometric identity.

Q: sin 20 7. lim n sin 0 tan 0 6.

A: We can solve it using the properties of limit as below

Q: sin 0 sin 0 2 1- cos 0 1+ cos e tan 0

A:

Q: 3. cosʻx– sinªx = 1 – 2 sin? x

A: Using Trigonometry identities,