Establish the identity. 2 cos - 0 1- 1+ sin 0 = sin 0

Q: Prove the identity. cot A = sin 2A / 1 - cos 2A

A: Here given identity as sin 2A1-cos 2A=cot A

Q: 1 and 0 <a <5, determine the exact value of cos 5. Given that cosa =

A: According to the problem, we get

Q: (1) Prove sin(A+B) = sin(A) cos(B)+sin(B) cos(A) by using the formula for cos(A+B)and a cofunction…

A: Given:

Q: 5 sin(0) – cos(0) dO Evaluate: со

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Q: Verify the identity. (csc^2 θ − 1)sin^2 θ ≡ cos^2 θ

A: Given the identity (csc2 θ -1)sin2 θ=cos2 θ. We need to verify the identity.

Q: (a) cos(cos-(2/3)) (b) sin¬1(sin(67 /5))

A: Given that: a) cos cos-123b) sin -1 sin 6π5

Q: sin(26) cos(26) – 1 1 Prove the following identity: - tan(b) sin(26) cos(26) – 1

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Q: 1. Use de Moivre's theorem to prove the trig identities: (a) sin 20 = 2 sin0 cose (b) cos 50 = cos'…

A: We have to prove this by demoviers theorem

Q: 1. . cos N = COS

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Q: 57 then 3 If 0 sin(0) = cos(0) =

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Q: Verify the identity: cot? 0 = 1-cos² 0 sec² 0+cos² 0 sin? 0

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Q: verify these identities: identity 1 sin(9 theta) + sin (3 theta)/cos 9 theta)+ cos (3 theta)=tan (6…

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Q: Prove the given identity  cos4A-cos2A=sin4A-sin2A

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Q: the identity.  1+cos?= Sin2 ?/ 1-

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Q: . sin 82.5° cos 37.5°

A: Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: prove the identity.  1+Cos?= Sin2?/ 1-Cos?

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Q: sin (1) Using an appropriate substitution, evaluate: [2+ cos(1) ]* 1 +C A 3[2+ cos(1)]³ 3 B +C [2+…

A: topic - Indefinite integration

Q: 4. Simplify the identity: cos 2 x - 1 Cos x + 1 COS

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Q: 1 + cos 20 57. Show that cos?e = 2

A: Show that the given identity, cos2θ=1+cos2θ2. Addition property:  cosA+B=cosAcosB-sinAsinB

Q: 3 and 90°<a < 180°. Suppose that sina =- Find the exact values of sin and tan 2 - 2 JT sin %3D…

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Q: (1+Sin O+COs02=a(+Sin0)+cose)

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Q: How can i prove this identity? sin 4A=4 sin A cos^3A-4 sin^3A cos A

A: We have to prove that  We will simplify right hand side of the equation.

Q: 16) Complete the identity. sin^2 x-1=

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Q: sin 2.4 cot A = %3D Prove the following identity: 1-cos 24

A: The given identity is cotA=sin2A1-cos2A. We know that, cos2x=1-2sin2xsin2x=2sinxcosx

Q: Complete the sum identity. cos(0 + 9) cos e cos 0 – sin 0 sin 0

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Q: the exact value   Cos θ= 3/5, 0<θ<π/2 a. Sin (2θ)= b. Cos(2θ)

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Q: 7-8. Prove that cos(a + B) cos(a – B) = cos?a - sin?ß %3D |

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Q: sin(0) = ² 3 and 2 0<itwhat is the exact value of cos(20)? Given that Explain how you determined…

A: Apologies for the inconvenience.   Given that: sinθ=23 and π2&lt;θ&lt;π. We have to solve for cos2θ

Q: 1. COS I Verify the identity sin 2

A: see below the answer

Q: 4-3) Use de Moivre's theorem to test the correctness of the following trigonometric identity:…

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Q: 1 cos 0 Prove the identity = tan 0. coc A 1tcin A

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Q: 8 and 90° <a <180°. 17 Suppose that sinɑ = a Find the exact values of sin- and tan 2

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Q: 5. Verify the identity cos -(a -B)| COS we sin( B) -

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Q: sin 30 cos 30 Prove the identity sin 0 2. cos 0

A: Topic = Trigonometry

Q: 5) Prove the law of cosine C= B+A- 2|Ã||B|co cos 0.

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Q: 3) sin 0 = and < e <n. Evaluate sin 20 , cos 20 , and tan 20 2

A: sin theta=6/7

Q: K. Use an addition formula to find the exact value of cos 15° cos 75° + sin 15° sin 75°

A: Addition formula: cos(A-B)=cosA cosB+sinA sinB

Q: 1. Let 0 € (-5,0) such that cos 0 = : (a) What is the value of csc 6? sin(-210°) cos² (rev) (b)…

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Q: sin 0 = - 3 and 180° <0 <270° Find cos 20

A: given that sinθ=-35 and 180°&lt;θ&lt;270°find cos2θ

Q: Verify the identity. 1 - cos e 4)- 1 + cos e COS sec 0-1 sec e +1

A: From the given problem:   1-cosθ1+cosθ=secθ-1secθ+1   L.H.S.=1-cosθ1+cosθ   As we know that:…

Q: 7/2 sin 8 cos (cos a cosec 0) de (1-cos a). 2

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Q: 12. The trigonometric identities applicable to evaluate [sin'0 cos³ e de 1. cos² 0 = (1+ cos20) I.…

A: Yhave have asked multiple questions and not mentioned which question answer you need so according to…

Q: . Using De Moivre's theorem, prove the identities sin 70 = 7 cos esin e - 35 cos esin 0 + 21 cos?…

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Q: 2 cos (70) cos 0

A: The objective is to solve the above question.

Q: Value of |cos15° sin15 | sin 15 cos15" O 1 O 1/2 3/2 none of the above O O

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Q: Verify the identity : (sin θ + cos θ)2 = 1 + sin 2θ

A: we have to verify the identity: sin θ +cos θ2=1+sin 2θ

Q: 3. Simplify a. cos 20 sin 90- cos 90 sin 20 cos A b. csc A (1- 1+sin A.

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Q: 2. If 5 sin 0 + 12 cos 0 = 13, then what is 5 cos 0 - 12 sin 0 equal to? (a) -2 (b)-1 (c) 1 (d) 0

A: We can find the answer as below.

Q: Establish the following identity: (2 sin? 0 – 1)² sin* 0 – cos“ 0 -=1–2cos² 0 .

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Q: Verify the identity. (1 - cos?0)(1 • corin) 1 (1 - cos^»)(1 + cor°w) = sin°() (1+ %3D sin (x)…

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