sin x+ cos x-sin'r 9) 5) = cot x+ cos' x sin x

Q: 4. Establish the identity: sec ar - secr sin2 = cos LIC HS O6Y

A: Establish the identity

Q: Prove the identity : Sino-tane. cos'e Case-1+Sin?0

A: Solution of the problem as follows

Q: If sino + sin'0 +sin' 0 = 1, then prove that cos 0-4 cos* 0+8cos 0 = 4.

A: sin2 x + cos2 x = 1.

Q: If tan(0) 24 - , 0 <os then 2 %3D sin(0) equals cos(0) equals COS sec(0) equals

A:

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: 13. If tan(x) = 3/2 and cos x <0, find the exact value of sec x. %3D

A: Given, tanx = 3/2  cos x &lt; 0   We have to find sec x

Q: 15. Using the identities, find cotx and secx if sinx = 1/4 and cosx > 0. %3D

A: Question number 15,Given,          sinx=14 and cosx&gt;0

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 identities can be proven.   A) (1+cos x )/(1-cos x) - (1-cos x )/(1+cos x )=4 cot x csc…

A: We have to proof that following trigonometric identity.

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

A:

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

A:

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

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

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

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

Q: Verify the identity. sec 0- cos 0= tan 0 sin 0

A:

Q: Assume that sec(0) = -where -2n < 0 <-T. a) Find cot(0) using trig identities.

A: a We know cotθ=1tanθand tan2θ=sec2θ-1So, cotθ=1sec2θ-secθ=96Thus cotθ=1836-1=14536…

Q: Using Euler' formula, show that sin 2x = 2 sin x cosx

A: Euler's Formula used.

Q: Prove the identity tan+cot 0 = csc sin + sec 0 + cos e

A:

Q: 2. Express sin40 and cos40 in terms of powers of sin 0 and cos e only, respectively.

A:

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: Date Verify each identity. 1) cos (270° - 0) = -sin e 2) sin (90° + 0) = cos 0 3) cos (90° - 0) =…

A:

Q: Beginning with [sin(x)]^2+[cos(x)]^2=1, prove that 1+[cot(x)]^2=[csc(x)]^2

A:

Q: How can I prove the identity of (1+tan^2x)cot^2x=csc^2 for each step?

A: Consider the given identity (1+tan^2x)cot^2x=csc^2x

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

A: Establish the identity

Q: Establish the identity. (5-) - sin cos 0 %3D

A: Given,          sinπ2-θ=cosθWe know that,           sinA-B=sinAcosB-cosAsinB

Q: Suppose that sin(θ)=3/7. What cot(θ)=______

A:

Q: Question in image.

A:

Q: Complete the proof of the identity by choosing the Rule that justifies each step. cotx (1+ tan'x) -…

A:

Q: Establish each identity given in attachment.

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

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

A:

Q: Verify the identity. sin 20 cot0 1- cos 20 Statement Rule sin2e OsinO 1 - cos 20 Otun O cot OsecO…

A:

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

A:

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

A:

Q: Show that sin , +sin ¤, = 2 cos[;(4, – Þ,)]sin[;(P, +Ð,)]

A:

Q: Prove the identity. csex- sinx cotx cosx

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

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: prove the identity cosx + sinxtanx= secx

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

Q: 13 If sec0 5 Show that 2 sin 0-3cos0 3D3 4 sin 0 –9 cos0

A:

Q: Date Verify each identity. 1) cos (270° - e) = -sin e 2) sin (90° + 0) = cos e %3D = Cos 3) cos…

A: We have to identify the following conditions

Q: If sin theta + 2  cos theta = 1  then prove that 2sin theta - cos theta = 2

A: To Determine: To prove 2sinθ-cosθ=2 Given: we have sinθ+2cosθ=1 Explanation: we have…

Q: 1. Which expression is equal to sec x tan z sin x using identities?

A: We can use simple trigonometric identities to solve the given equation.

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

A:

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

A: