Simplify the expression using the fundamental identities 1+ tan?x' 1+ cot2x tanxsecx Prove x cotx = tanx cscx

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: Prove the identity. secx- sinx tanx cosx

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Q: Verify the identity: 1- sin(2x) 1- tan x cos(2x) 1+ tan x

A: LHS: 1-sin(2x)cos(2x)=cos2x+sin2x-2sin(x)cos(x)cos2x-sin2x ( as…

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: Verify the identity tan θ + cot θ = sec θ csc θ.

A: We have to verify tanθ+cotθ=secθ cscθ We know that tanθ=sinθcosθ and cotθ=cosθsinθ…

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: Verify the identity: sec(α + β) = sec α sec β/(1 - tan α tan β)

A: Given sec(α + β) =secα secβ1- tanα tanβ∵sec θ = 1cos θ ; tan θ = sin θcos θ⇒ from (1) , we get…

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: Prove the identity. secx- cosx sinx tanx

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Q: Establish the identity. (sec 0+ tan 0)( sec 0- tan 0) = 1

A: We have to prove

Q: Prove the identity  secx-sinx tanx=cosx

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Q: Prove the identity. cosx/1-sinx - 1/cosx = tanx

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Q: Use a difference identity to prove than tan(0+ t) = tan(6).

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Q: Simplify sin2 θ + tan2 θ + cos2 θ. Using fundamental identities.

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Q: Verify the Identity: tan sin = sec-cos

A: We verify this identity using relations between different trigonometric ratios & also using…

Q: Prove the identity. secx- sin x tanx= cosx

A: Given,          secx-sinxtanx=cosx

Q: verify the identity: tanx + secx = sinx + 1                            cosx

A: Given,

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

A: To prove sinΘ(cotΘ +tanΘ)=secΘ

Q: 9. Establish the identity: tan2 +1 sec x 1 = sec x LHS

A: Establish the identity

Q: Find the value of tan sin 2 3 3 O-5

A:

Q: Verify that it is an identity  (1-sec/tan)+(tan/1-sec)=-2csc

A: We will simplify left side and make it equal to right side

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

A: We have to find the following conditions

Q: 1 2. - + tanx = tanx sinxcosx

A:

Q: 14. Using the identities, find tanx and cscx if secx = 5 and sinx <0 %3D

A: Given that        Sec x = 5 and sin x &lt; 0 We have to find the value of tan x and csc x.

Q: Verify the identity. sec X• sin x= tan x

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Q: Prove the identity. tanx (1- sin'x) =; sin 2x Note that each Statement must be based on a the right…

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Q: Which expression is equivalent to sinβcscβsecβ for all values of β for which sinβcscβsecβ is…

A: According to reciprocal identity csc x=1sin x

Q: Which expression is equal to 1/tan⁡ x+tan⁡ x using identities?

A: The trigonometric equations that can be used are as follows: 1.  1+tan2x=sec2x 2. sin2x=2 sinx cosx…

Q: Determine whether the equation is an identity. If it is an identity, prove it.   tan2 x = sec2 x +…

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Q: Prove the identity. csex- sinx cotx cosx

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

Q: prove the identity cosx + sinxtanx= secx

A: The given identity,cosx+sinx tanx=secx

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

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Q: 6) Verify tan x + cot x = sin(2x)

A: Simplification

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. cos x- secx=-sinx tan x 2.

A:

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. sec(-x)-sin(-x)tan(-x)=cosx

A: sec(-x)-sin(-x)tan(-x)=sec(x)-(-sin(x))(-tan(x))=sec(x)-sin(x)tan(x)

Q: Verify the identity tan α/2 = tan α/ (sec α + 1)

A: We have to verify the identity: tan α2=tan αsec α+1 We know the relation between trigonometric…

Q: Prove the identity. cos (-x) 1- sin (-x) = secx- tanx

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Q: Prove the identity Sinx/1-cosx=secx+1/tanx

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Q: Establish the identity. sec 0• sin 0 = tan 0

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Q: Prove the identity. cos (-x) 1- sin(-x) secx- tanx

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Q: Verify that the equation is an identity. Show that sin (-x)+ + csc.x= cotx cos.x.

A: