4) Simplifying the Trigonometric Identity tanx cosx

Q: prove the identity of sin(pi/2+)=cosx

A: We know the identity,

Q: Verify the identity: cos(α - β)/(cos α cos β) = 1 + tan α tan β.

A: We will use the identity

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

A: Our Aim is to verify the identity given below:-tan (-θ) + cot -θtan θ=-cosec2 θ -(i)

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: Verify the identity: tan (θ + π/4) =  (cos θ + sin θ)/(cos θ - sin θ)

A: We use the formula for tan(A+B)

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

A: Given

Q: Establish the identity. cos Ꮎ - sec Ꮎ = sin Ꮎ tan Ꮎ

A:

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: complete the identity using the triangle method cos(tan-1(x))

A:

Q: what is cos(tan^−1(−1/2))

A:

Q: Derive the identity using the identities listed in this section.

A: To Prove

Q: verify the identity. cot(x-pi/2)= -tan x

A: To verify the given identity.

Q: IV. Prove using half-angle identities: tan-= sine + cosecote - cote

A: We have to prove given equation using half-angle identities: We will use here identities:…

Q: Solve the problem. 2 tan x Use the trigonometric identity tan 2x to find D,tan 2x. 1- tan x

A:

Q: -1 coS (sin(#). 6

A: Given that: cos-1sin7π6

Q: 3) Use the sum, difference, double or half-angle formulas to find the exact value of cos(sin-1+…

A:

Q: Refer to the appropriate triangle or trigonometric identity to compute the given value. tan(sec-1…

A: Here given as tansec-1-2

Q: Derive the identity using the identities listed in this section. sin(θ + π) = - sinθ

A: Given:        sin(θ+π)=−sinθ

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

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

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

A: To prove sinΘ(cotΘ +tanΘ)=secΘ

Q: csc(θ+2π)tan(θ)

A:

Q: I'm having trouble trying to understand and verify the identity:sin x csc/cot = tan

A: Given

Q: verify the trigonometric identity: cos x csc x/cot^2 x=tan x.  show adequate steps for me to follow

A: Given,           cosxcscxcot2x=tanx

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

A: Given:

Q: Derive the identity using the identities listed in this section.

A: identities:1)  cos2θ = 1-2sin2θ2) sin2θ = 2.sinθ.cosθsin2xcos2x = 1-cos4x8

Q: (좋) 1. cos 2. tan () 3. sin (21) oliila Molix

A:

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: If sec theta + tan theta = p , then what is the value of sec theta - tan theta

A:

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: Verify the identity:( tan θ cot θ) /csc θ= sin θ.

A: We have to verify the identity: tan θ cot θcosec θ=sin θ We know the formula of trigonometric…

Q: Use the properties of inverse trigonometric functions to evaluate the expression. tan(arctan 40)

A: Solution is below

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

A:

Q: What is tan 0 if sin 0 = cos 0? -1 1 Option 1 O Option 2 4 Option 3 Option 4

A:

Q: Considering only the values of α and β for which cos(α−β)/sinαsinβ is defined, cos(α−β)/sinαsinβ= ?

A: We will use the trigonometric identities written below to simplify this

Q: Use trigonometric identities to transform the left side of the equation into the right side. (tanβ…

A: Given:  (tan β + cot β) / tan β = csc2 (β)   To prove: Above identity using trigonometric identities…

Q: Derive the identity using the identities listed in this section. sin(0 + π) = - sin0

A: Given to show sinπ+0=-sin0

Q: Determine the exact value of cos 45° x tan 60° sin 30°

A: We know, cos(45∘) = 12 ,sin(30∘) = 12 , and  tan(60∘) = 3

Q: 3 Evaluate tan - 1 COS giving your answer as an exact value (no decimals) 4

A: Given,  tan[cos-1(3/4)]  = ? Let's assume  x = cos-1(3/4)      then          cos x = 3/4…

Q: What is tan 0 if sin 0 = cos 0? -1 1 O Option 1 O Option 2 4 O Option 3 O Option 4

A:

Q: If 0° <0 < 90° and tan 0 find csc 0 using trigonometric identities. Explain which identities to use.

A:

Q: Verify the identity: (1 + cos θ)/sin θ = csc θ + cot θ.

A: Verify the identity.

Q: Verify that sin θ cot θ = cos θ

A:

Q: Use fundamental identities to write tan0 in terms of sin0 for an acute angle 0.

A: To write tanθ in terms of sinθ for an acute angle θ

Q: What trigonometric identity is useful in evaluating  ∫sin2 x dx?

A: Given:                            ∫ sin2x dx=?   To determine:…

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

A: