Prove the following identity: (1+ cotA+ tan A)(sinA - cosA) sin’A cos A со 3 3 sec’A - cosec'A

Q: Suppose that cot e = -3 and <0< 2n. 2 Find the exact values of sin- and tan 2 2 믐 sin Undefined ?…

A: The solution are next step is

Q: in−1(x) + cos−1(x) =  ? 2

A: Given that : The equation is sin-1 (x) + cos-1 (x) = π2 .

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

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Q: Verify the identity: (cos θ sec θ)/cot θ= tanθ.

A: We have to verify cosθ secθcotθ=tanθ We know that secθ=1cosθ and cotθ=cosθsinθ Now, LHS=cosθ…

Q: Suppose that sin(θ)=1/7. What csc(θ)=______.

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Q: Verify the identity: sin(α - β)/sin α cos β = 1 - cot α tan β

A: We know; sin (A- B) = sinA.cosB + cosA.sinB To show:    sin(α - β)/sin α cos β = 1 - cot α tan β

Q: Which hyperbolic identity corresponds to the trigonometric identity                    sin2x = (1 −…

A: Given

Q: 25. Verify the identity. cos (-0) 1+sin (-0) sec 0 + tan 0

A: here is the proof

Q: Verify the identity: cos θ sec θ/ cot θ = tan θ

A: Given :cos θ secθcot θ=tan θTo verify the given identity .

Q: prove the identity cos^3x sin^3x =(sin^3x-sin^5x)cosx

A:

Q: Prove the identity. sin^2(θ)−tan(θ)cos^2(θ)−cot(θ)=tan^2(θ)

A: We have to prove the identity                                         sin2θ-tanθcos2θ-cotθ=tan2θ

Q: Prove the identity. 2 tan 0 sin 20 1+ tan0 To verify the identity, start with the

A: Please refer to the image below.

Q: 3. Prove the identity of tan x + cot x = csc x sec x. Work on the left side.

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Q: 1-cos2x/1+sinx=sinx. Prove the identity

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Q: Prove the identity. sin 2x = tanx 1+cos 2x

A: Explanation of the solution is given below....

Q: Prove the identity. cos8x+cos2x / sin8x+sin2x = cot5x

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Q: Prove the ff Trigonometric Identities: 2. (1- cos²0) csc=0 = 1 3. sect V(1– sin²0) = 1

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Q: Use the fundamental identities to fully simplify cos (-x) sin (-x) sec (-æ).

A:

Q: 7) Verify the identity (cot x – csc x)(cos x + 1) = -sin x

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Q: 1+ cos x (csc x+ cot x)² %3D 1- cos x 2.

A: Given : 1 +cosx1-cosx = (cscx + cotx)2

Q: Prove the identity  cscA-sinA = cotAcosA

A: Given,        cscA-sinA = cotAcosA

Q: Prove the identity. sin 2x- sin 6x - tan 2x cos 2x+ cos 6x

A: The objective is to prove The Identity.

Q: Use trigonometric identities to solve cos(2θ)−cos(θ)=0 exactly for 0∘≤θ&lt;360∘

A: Given equation,

Q: 3. Prove the identities following identities. tane sine + cos0 = sece

A: Given identity is tan θ ·sin θ+cos θ=sec θ   It is known that tan θ=sin θcos θ, sec θ=1cos θ Also,…

Q: 9. (6 points) Verify the following identity. sin 0 cot 0 + csc 0 1+ Cos 0

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Q: 5n 25) cos 12 + sin sin 12 12 cos 12

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Q: 4. Use an identity to find the value of tan (6– 180°). O - tan 0 tan 0 1 O-1

A: 4. We need to evaluate the value of the following quantity tanθ-180° Identity Used : tanA-B =…

Q: 2. Find the values of other trigonometric identities if sin 0 3 and tan 0 > 0.

A: Explanation of the answer is as follows

Q: sin 2x 5. cot x = 1- cos 2.x

A:

Q: Prove that following identities: (sin 0 + cosec 0)+(cos 0+sece=7 tan0+cot 0

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Q: Express sin 0 cos 0 in terms of a if cot 0 = a

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Q: Use a ratio identity to find tan theta if cos theta =2/3 and sin theta = 5/3     5/2

A: Given that, cosθ=23sinθ=53

Q: Prove the identity. + sin 3 cos x- cosx

A:

Q: Verify the identity  sec theta  - cos theta  = sin 2 theta /cos theta

A: We have to prove the identity: sec θ-cos θ=sin2 θcos θ We know that  sec θ=1cos θ Taking LHS part,…

Q: Prove the identity. csex- sinx cotx cosx

A: csc(x) = 1sin(x) cot(x)=cos(x)sin(x) sin2x + cos2x =1

Q: Establish the identity. 1-2 sin 20 cos 20-2 sin 40 = cos (20)

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Q: 3 and e is in QIII. 5 4. Find the exact value of sin if cose

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Q: Establish the identity 2 2 cos - sin 0 2, 1 - tan 0 2 = cos 0.

A: To establish the identity

Q: Prove the Identity 1-tan^4(x)=cos(2x)sec^4(x)

A: 1-tan^4(x)=cos(2x)sec^4(x)

Q: Prove the reciprocal identities csc 0 = sin 0 1 and cot 0= sec 0 = cos ) tan 0

A:

Q: Find cos if sin = 1/2 terminates in QII

A: Given data:     The given value of the trigonometric identity is: sinθ=1/2.     Evaluate the given…

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

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Q: 8. Prove the identity sec 0 – cos 0 = sin 0 tan 0

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Q: 13. Prove the following trigonometric identity until LS = RS. / sec20-tan20 = csc 0 sin20 csc 0

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Q: Verify the identity 2 tan α/2 = (sin2 α + 1 - cos2 α)/sin α(1 + cos α)

A: Verify the identity 2 tan α/2 = (sin2 α + 1 - cos2 α)/sin α(1 + cos α)

Q: 4. Verify the identity: 1 cos(x)+1 1 + cos(x)-1 -2 csc(x) cot(x)

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Q: Prove using trig identities sin 20° =1 V3 cos 20° – 2 sin 40°

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