73-92 - Proving Identities Prove the identity. 73. cos 5x – sin 5x = cos 10x 74. sin 8x = 2 sin 4x cos 4x 75. (sin x + cos x) = 1 + sin 2x

Q: cos(- 3. Find the exact value of '12' 4 sin' x 2 sin(2x) = 4. Prove tan x

A: 3 We have to find exact value of cosπ12          since we know that cosπ6=32          since we…

Q: 2. Prove the identity: (cos x- sin x)2 + (cos x + sin x)2 = 2. %3D

A: To prove  that cosx-sinx2+cosx+sinx2=2

Q: tan 0+sec 0-1 1+sin e 8. %3D tan 0-sec 0+1 cos 8 Proof:

A: Topic:- trigonometry

Q: 1-2sin? x 2. Prove cos x+ sin x +2sin cos-= cos x 2

A:

Q: Verify the identity: 1/(sin θ + cos θ)+1/(sin θ - cos θ) = 2 sin θ/(sin4 θ- cos4 θ)

A:

Q: 25. Verify the identity. cos (-0) 1+sin (-0) sec 0 + tan 0

A: here is the proof

Q: True or False sin2θ =1- cos2θ.

A: We can prove or disprove trigonometric identities using trigonometric table values of angles . For…

Q: cos x-cos(5x) Prove identity: tan(2x) sin x+sin(5x)

A:

Q: Lan: prove (:) - - 4. sin x tan =1- cos x

A:

Q: proof 1)  (sin x + cos x)2 = 1+ 2 . sinx . cosx 2)  cos4x - sin4x = cos2x - sinn2x

A:

Q: Verify the identity. 9 cos2 β − 9 sin2 β = 18 cos2 β − 9

A: To verify the given identity.

Q: 1-cos(2x) sin²(3x) tan x-sin x Evaluate: a- limr-0* b- lim sin³x

A: (a) Given, Simply fie the above expression, On applying the limit, the solution is in 0/0 format.…

Q: sin 3x Prove the identity 4 cos x- sec x. sin x cos x

A: To proove: sin3xsinxcosx=4cosx-secx

Q: 1. Determine and cos when sin = and cos is negative. Restrict values for 0 such that 0 ≤ 0≤ 2m. and…

A: This is a problem related to trigonometric identity. Based on the general formula we will answer the…

Q: 1- cos'z tanxsinz consider the identity cotasinz verify the identity for the values x= 3

A: Trigonometric identities application

Q: sin4x sin2x=1/2(cos2x-cos6x). Prove the identity

A: Consider the given identity

Q: identities: 1. sin(3x) = (sin(x))(4(cos(x))² – 1)

A:

Q: 1- sin2x/1+cos x=cos x. Verify the identity

A: The given identity:

Q: sin(2x) 1 Prove the following identity: cos(2x) - 1 - tan(x) sin(2x) %3D cos(2z) - 1

A:

Q: cos 5x - cos 3x = -8 sin? x(2 cos3 x - cos x) Working with the left-hand side, use a Sum-to-Product…

A:

Q: sin 0 1 + cos 0 Establish the identity: 2 csc 0 1 + cos 0 sin 0

A: given sinθ1+cosθ+1+cosθsinθ=2cosecθ

Q: 1. If tan z = - 0.5 then tan( – æ) - 2. If sin z = 0.5 then sin( – æ) = 3. If cos a = 0.2 then cos(…

A:

Q: sin 2x cos 2x Prove the following identity: sin x S.3 cosx cos x Prove the identity cos (180° +x) +…

A: As bartleby required if many part then due to time we can do 3 part please upload remaining parts…

Q: X Using the Double angle formula and the fact cosx=cos 1+cos X (a) prove that cos=\- for 0sx<90° . 2…

A:

Q: 5 sin 0 – 4 cos 0 If 5 tan 0 – 4 = 0, then the value of 5 sin 0 + 4 cos 0

A:

Q: Sea Sin (90-x):(05 (1301X)t tane cosx. Sin Cr 150) withoat the we of calcaleter prove that Sin…

A:

Q: sin (-0) cos² (-0) Establish the identity: cos 0 sin 0 sin (-0) - cos (-ø)

A: Given: sin2-θ-cos2-θsin-θ-cos-θ=cosθ-sinθ

Q: 1. prove    cos(x)cot(x)= csc(x)-sin(x)   2. prove    cos(x)-sin(2x)/cos(x) = 1-2sin(x)   3. solve…

A:

Q: Verify the identity. (Simplify at each step.) 5 cos2 β − 5 sin2 β = 5 − 10 sin2 β

A: As cos2β+sin2β=1 cos2β=1-sin2β The given Left-Hand Side function is

Q: VII. Verify the identity. 11.) sin 3x = 3 sin x-4 sin3 x

A:

Q: Verify the identity. 6 cos(sin-1 x) = / 36 – 36x2 Let 0 = sin-1 x = sin 0 = x = X. Thus, 6 cos(sin-1…

A: use trigonometric identity  to verify it.

Q: 9. Prove each identity. cos 0 COS sin 0 = 1 – tan 6 a) cos² 0 + sin 0 cos 0 %3D b) tan? x – sin?…

A: we have to prove the given identities

Q: sin(cos-(0.7068)) O - 1.2926 O 0.7074 2.7074 -0.2926 1.7074

A:

Q: (sin 0+cos 0)² 3. sin?0-cos20 sin²0-cos²0 (sin 0-cos 0)²

A: (Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: II Find sin .2 4), and tan4) from the given in 2. 10 sec(x) = , 270° < x < 360° %3D sin 2 (즐) - %3D…

A:

Q: Prove the identity: sin(0)-co sin (0) +cos (0)–1 cos (8)+1 sin(0)+1 cos(8)

A: On proving this we will get

Q: 1 1 -2 cot x csc x x %3D 1+cos x 1-cos(-x)

A:

Q: Prove the identity. cos(x - 1) - sin(x + 1) = = 0 Use the Addition and Subtraction Formulas, and…

A:

Q: Prove the identity. sin(x-즉)--cos(x) Use the Subtraction Formula for Sine, and then simplify. sin(x…

A:

Q: prove identity cos^4 (A) -sin^4 (A) = 1 - 2 sin^2(A)

A:

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

A: To establish the identity

Q: Establish the identity. cos (20) cot 0 + 1 1- sin (20) cot 0-1 Choose the sequence of steps below…

A:

Q: sin 2x +sin 8x/cos 2x + cos8x =tan5x. Prove the identity

A: We start with left side. And we use sinA+sinB = 2sin((A+B)/2)cos((A-B)/2) and…

Q: sin 4.4- sin 2A (a) Verify that = tan A cos 4.4 + cos 2.4 (b) Express the following as a product of…

A:

Q: 25–46 - Proving Identities Prove the identity. 27. sin(x – 7) = -sin x

A: To prove:

Q: Complete the proof of the identity by choosing the Rule that justifies each step. sin’x- cos'x = 2…

A: Rule used, Sin2x+Cos2x=1

Q: 4. Verify the identity: 1 cos(x)+1 1 + cos(x)-1 -2 csc(x) cot(x)

A:

Q: sin 50 Show that 16 cos 0 – 12 cos² 0 + 1. sin 0

A: given,

Q: Verify the identity. (Simplify at each step.) (1 + cos α)(1 − cos α) = sin2 α   (1 + cos α)(1 − cos…

A:

Q: Verify the identity. (1 – cos"(x)(1 + cot*«») = (1 - cos (x)(1 + cot°») - sin°C«) - 1 + sin (x) =…

A: Solved below