1- cotr sin' x- cos? x 2) 1+ cotx

Q: Establish each identity. as attached.

A: Given identity, tan(3θ)=3tanθ-tan3θ1-3tan2θ

Q: Show that tanθ + cotθ = 2 Cosec2θ

A: Given query is to prove the Indicated identity.

Q: - Use the double-angle identities to find tan(2x) if cosx = Enter an exact answer. Sain(4x) sin(1…

A:

Q: Verify each identity.     cot x = cos 3 x + cos x / sin 3 x - sin x

A: cos3x+cosxsin3x-sinx=2cos3x+x2cos3x-x22cos3x+x2sin3x-x2    ∵cosx+cosy=2cosx+y2cosx-y2&…

Q: Prove the identity. sin x+ = cotx sin (7– x) Note that each Statement must be based on a Rule…

A:

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: Show that tan(x) + cot(x) = sec(x) csc(x). (Verify this identity.)

A: The answer is given below: Remember 1)   sin(x)cos(x)=tan(x)2)cos(x)sin(x)= cot(x)3) sin2(x) +…

Q: 16. Verify sin(180° – ) = sin e (SHOW WORK)

A: We know that sin(a-b)=sina cosb-cosa sinb

Q: Prove each identity •cot²x = csc²x - 1 •sinx tanx = secx - cosx

A: We have to prove the given identity. using the trigonometric expression, It is known that, sin…

Q: Prove the identity. cos²x 1+ sinx 1- sinx (1– sinx)? Note that each Statement must be based on a…

A:

Q: sin 2x = tanx+

A: We have to prove that sin2x=tanx+tanxcos2x

Q: Prove the identity  cscA-sinA = cotAcosA

A: Given,        cscA-sinA = cotAcosA

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

A: Given, sinθ.secθ=tanθ transform leftside to rightside from trignometric formula we know secθ=1cosθ…

Q: Verify the identity: cot2 2x + cos2 2x + sin2 2x = csc2 2x

A: The given identity is ot2 2x + cos2 2x + sin2 2x = csc2 2x

Q: prove the identy. sec θ − cos θ = tan θ sin θ

A:

Q: Establish each identity given in attachment.

A: To prove an identity we must start with one side of the identity and transform it to the other side.…

Q: establish the identity sinΘ(cotΘ +tanΘ)=secΘ

A: To prove sinΘ(cotΘ +tanΘ)=secΘ

Q: Establish each identity given in attachment.

A: Establish each identity given in attachment.

Q: Find tan θ if sin θ = 1/4 and θ terminates in QI.

A:

Q: 3. a)Prove the identity tan20- sin20 = sin²0 tan²0

A: We have to find the following conditions

Q: Establish each identity given in attachment.

A: To Establish the identity given in attachment. 1+sinθ1-sinθ=secθ+tanθ2

Q: 4 sin“ x = 1 – 2 cos 2.x + cos² 2.x

A: 4sin4x=(2sin2x)2 Using cosine double angle formula which is cos 2x=1-2sin2x1-cos 2x=2sin2x…

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

A: To prove identity: csc-x cos-x=-cotx Proof: We know that, csc-x=-cscx  and cos-x=cosx Simplifying…

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

A: To verify the identity: cot(-x)cos(-x)+sin(-x)=-cscx Solution: We know, cot(-x)=-cotx…

Q: Establish the identity: cot(2x) = 1/2(cotx-tanx)

A:

Q: Prove each identity is true. cos x sin x 19. sin x + cosX %3D 1-tan x 1- cotx

A: tan x = sin xcos x= 1cot xl

Q: 11. use Jouble angle identity to find exact value cos x == // and OLX<= ㅠ sec (2x) tan (2x) cos (2x)…

A:

Q: 15) Verify that the equation is an Identity. Use Triy. Identitles, change one side to equal the…

A: To verify that the equation is an identity.sec2 θ=11-sin2 θ

Q: Find tanø if sinø = 1/3 and Ø terminates in QI

A: Given:- sin(ø)= 1/3 and Ø terminates in QI To find:- tan(Ø)

Q: Use one or more of the six sum and difference identities to verify the identity sin(α + β) + sin(α -…

A: To verify sinα+β+sinα-β=2 sinα cosβ

Q: Prove the identity. 1+ cosx + sinx sinx =2 cscx 1+ cosx

A:

Q: 35. cos x + = sin x %3D

A: Solving the problem by doing the verification.

Q: Prove the identity. tanx (1+ cos 2x) = sin 2x Note that each Statement must be based on a Rule…

A: Formulae used:

Q: Prove the identity. cosx = secx+ tanx 1- sinx Note that each Statement must be based on a Rule…

A:

Q: Prove the identity. = sin 2x %3D cotx+ tanx Note that each Statement must be based on a Rule chosen…

A:

Q: sinx - cosx+ 1 sinx + 1 sinx + COSX - 1 COSX

A: We need to prove the following identity : sinx - cosx +1sinx + cosx -1 = sinx +1cosx

Q: Use fundamental identities to simplify the expression  cosx-cosx sin^2 x

A: We have to simplify the expression.Expression is given below:

Q: Prove the identity. tanx (1+ cot²x): %3D cosx sinx Note that each Statement must be based on a Rule…

A: Given,            tanx1+cot2x=1cosxsinx

Q: Verify that sin θ cot θ = cos θ

A: