prove that sec-1x = cos-11 = cos-11

Q: sin 20 5) Verify tan 0 %3D 1+cos 20

A:

Q: (tan® – sin®)²+(1 – cos®)²= (1 – sec0)²

A:

Q: Verify that Cos(x)=(1-(tan^2)(x/2))/(1+(tan^2)(x/2))

A:

Q: Verify the identity : 1-cosx sinx = 2 csc x sinx 1– COsx 2.

A: Given- 1-cosxsinx+sinx1-cosx=2cscx To verify- The above identity. Identity Used- sin2x=1-cos2x

Q: Verify that (sinx-cosx)2=1-sin(2x)

A:

Q: compute tan π/8, if tanx = sin2x / (1+cos2x)

A: To compute tan π/8, if tanx = sin2x / (1+cos2x)

Q: Show that (tan- x) = cos2(tan-1x) and then use Figure 8 to prove that (tan- x) = (x² + 1)-1. V1+x? y…

A: Given:

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

A:

Q: Solve exactly over the interval 0 ≤  θ  ≤ 2π 1. √3 Cosθ- 2sinθ cosθ = 0 2. Cos(θ/2) - cosθ = 0…

A:

Q: What is the exact value of sin4)-sec(-) -4+/2 A 2 4-/7 B -4-/7 2 4+/7 2

A:

Q: verify cos(3x) = 4cos^3 (x) - 3cos(x)

A: We know that  cos(A+B)=cosAcosB-sinAsinB Therefore cos(3x)=cos(2x+x)=cos(2x)cos(x)-sin(2x)sin(x)

Q: Verify the Identity: sec^6 x (secxtanx) - sec^4 x (secxtanx) = sec^5 x tan^3 x

A: We will use trigo identity to solve this

Q: Verify the identity: cos(α + β) cos(α - β) = cos2 β - sin2 α

A: Given the identity to verify is cosα+βcosα-β=cos2β-sin2α The identities used here are…

Q: Prove that (7 sin2m-10 cos2n-10 = – B(m,n)

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Prove Cos2x=1-tan^2x/1+tan^2x

A:

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

A: The objective is to prove The Identity.

Q: how that cos 1+cos 8 and sin 1-Cos 0 %3D %3D using de Moivre's Theorem.

A: It is required to show that cosθ2=1+cosθ2 and sinθ2=1-cosθ2 by using de Moivre's theorem. By de…

Q: Find cos θ⁡ whose terminal side passes through the point (-3,4).

A:

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

A: cos2x -sin2x=2cos2x-1

Q: Show that sin³ +cos³0 sin + cos 2-sin 20 2

A: Here we use the formula of (a+b)^3 .

Q: Prove that 1-cos2x+sin2x 1+cos2x+sin2x = tan x

A:

Q: identities are most useful for proving that 2cosx = cos 2x +1? What two common

A: Using identities of trigonometric function

Q: 4) Verify. cos²(x)[1 C. – tan²(x)] = cos(2x)

A:

Q: Prove cos4x=8cos4x-8cos2x+1

A: To prove:- cos(4x)=8cos4(x)-8 cos2(x)+1

Q: prove tan^4x=cos4x-4cos2x+3/cos4x+4cos2x+3

A: Basic trigonometry proof

Q: Verify: 1. (sinx – cosx)² – 1 = -sin2x %3D

A: We can verify the statement as below

Q: Verify (1 − sin2 θ)(1 + tan2 θ) = 1

A: Using basic trigonometric formulas we can verify the given expression.

Q: prove that 2. = - Cotx + C |- Cosx +Sinx

A: This question is fairly based on simple formulas of trigonometry and calculus

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

A: To establish the identity

Q: If 16(sinx) + 16(cosx)2 10 then x-.. %3D

A: Given that 16(sin x)2+16(cos x)2=10. That is 16sin2x+16cos2x=10. We have to find x value.

Q: By equating the real parts of cos5θ + j sin5θ = (cosθ + j sinθ)5 Show that cos5θ = 16cos5θ -…

A: Given By equating the real parts of cos5θ + j sin5θ = (cosθ + j sinθ)5

Q: Verify the identity: tan2 2x + sin2 2x + cos2 2x = sec2 2x

A:

Q: verify the identity sin2x-sin2y=cos2y-cos2x

A:

Q: 1- Verify the identity sin²0 + 2cos0 – 1 1 - %3D sin²0 + 3cos0 – 3 - sec®

A:

Q: 1 - 2 cos²(x) + cos“(x)

A:

Q: Verify the identity.  (1 − (cos x)2)(sec x)2 = (tan x)2   (1 − (cos x)2)(sec x)2 = (_______)/(cos…

A: We can use trigonometrical identity in order to solve the given problem.

Q: verify the identity  1 + sec ^2 x/ 1 + tan ^2 x = 1+ cos^2x

A: Note that 1+tan^2x = sec^2x  1/sec2x= cos2x

Q: Prove the identity. sin 2x cotx %3D 1- cos 2x

A:

Q: Verify the identity : 2 sin2x-1= 1- 2 cos2x

A:

Q: Prove CotA= sin2A/1-cos2A

A:

Q: What is the greatest possible value for the product of 2-sinx and 3 + cos5x

A: (2-sin(x))(3 + cos(5x)) =6-3sin(x)+2cos(5x)-sin(x)cos(5x)

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: Verify the identity: (cos2 x - sin2 x)/(1 - tan2 x) = cos2 x

A: Verify: cos2x-sin2x1-tan2x=cos2x

Q: Prove (sin10x)/(sin9x+sinx) = (cos5x)/(cos4x

A: Explanation of the prove is given below..

Q: Prove the identity  cotx (1-cos2x)=sin2x

A: