cos 0 = cos 30 sec 20 sin 30 + csc 20

Q: Establish each identity given in attachment.

A: To establish the identity  cosθ+1cosθ-1=1+secθ1-secθ

Q: If 0 then 4 sin(8) = cos(0) =

A:

Q: Verify the following identity. 1+ cos 2x cotx%D sin 2x

A: Recall: sin2x = 2 sinx cosx cos2x = 2cos2x -1 cotx = cosxsinx

Q: Prove that the following identity is true. csc4x − cot4x = (1 + cos2x)/sin2x

A: Use cscx = 1/sinx and cotx=cosx/sinx (Sinx) 2+(cosx) 2=1

Q: 2 v sec 2 1+ cos 0°

A: We have to find the identity

Q: Prove the following identity: sin 24 cot A 1-cos 24

A:

Q: Prove the following identity: Sec/cos - tan/cot = 1

A: Prove the following identity secxcosx-tanxcotx=1

Q: Prove the following identity: sin(21) 1+ cos(2x) tan(z) 1

A:

Q: Use the exact values from show thatthe following are true.   cos 2 theta 30 0   + sin 2 30 0 =1 cos…

A: The values you will use : cos30∘=32sin30∘=12cos45∘=12sin45∘=12

Q: Use exact values to show that each of the following is true.     cos 120 degree = cos2 60 degree 2…

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Q: Prove the following identities.    4 sin  4 theta  = 1 - cos 2 theta  + cos 2 2 theta

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Q: Prove the following identities: sin 6+ sec 0) +(cos 0+ sece) = (1+sec0 cosece)

A: We can easily prove this given identity shown below

Q: Prove the following identity: sin(2a) tan(a) 1+ cos(2a) 1 sin(2a) 1+ cos(2a) ||

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Q: (cos 0 + sin 0)² – 1 = 2 sin 0 cos 0

A: Let's find.

Q: Prove that the following identity is true. cos4A-sin4A=1-2sin2A   Show your work.

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Q: Verify the following identity: CoS os*(8) – sin“(8) = cos(20)

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Q: cos(x + y) cos(x – y) = cos? (x) – sin²(y)

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Q: cotx -1 cos 2x = cot x+ 1

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Q: Verify the identity. (1 – cos²(«)(1 + cot²(«) = : cos²(x) )(1 + 1

A: To verify:  (1 - cos2x)(1 + cot2x) = 1 We will start from LHS and will try to get RHS. Useful: 1.…

Q: Prove that each of the following identities is true.   sec 4  theta  - tan 4 theta  = 1+ sin 2 theta…

A: The given identity is, sec4θ-tan4θ=1+sin2θcos2θ

Q: Find cos (20) if sin 0= 8. cos 0>0 17

A: Given : sin θ=817Opposite side to θ is 8hypotenuse is 17 Now use Pythagorean theorem to find the…

Q: Establish the identity cos ²(80) – sin2(80) = cos (160).

A: Given : cos28θ - sin28θ = cos16θ

Q: Verify the following identity. cos 0+ 2 sin 0 Which of the following four statements establishes the…

A: we have to verify the following . Fir this we can use the trigonometric identity

Q: Verify the identity. (1-cos^2 B)(1+cot^2 B)=1

A: Topic = Trigonometry

Q: Evaluate (5cos 60° +4 sec 30° – tan 45°) (sin' 30° + cos 30°)

A: We know that cos60°=1/2 , sec30°=2/√3 , tan45°=1 , sin30°=1/2 , cos30°=√3/2

Q: Show that the following is true. cos(180° - 0) = -cos e

A: You know the formula:

Q: Prove the following identities sinθ+cotθcosθ=cscθ sinθ(cscθ-sinθ)=cos2θ

A:

Q: Hence prove that sin?a + cos²ɑ = 1 3.2

A: Since you have posted more than one question, we solve the first one for you. For the other…

Q: State whether the following statement is true or false. sin20 = 1- cos 20 Choose the correct answer…

A: We have to check

Q: Show that the following statement is an identity by transforming the left side into the right side…

A: Consider the given equation. cos θ+sin θ2-1=2sin θ cos θ

Q: Verify the following identities: cos (40) = 8 cos“ 0 – 8 cos? 0 + 1

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Q: Prove the following identity: 1) cotθ = cosθ cscθ

A: topic - trigonometric identities

Q: suppose that 2cos^2 x + 4sin x cos x = asin2x + c is an IDENTITY, determine the values of a, b and c

A:

Q: . Suppose csc(A)· where A terminates in QIV, and sec(B) = -3 where B terminates in QII %3D a) First…

A: Note the trigonometric identities :

Q: Verify that the equation is an identity. (Hint: cos2x = cos(x+x).): cos2x = (cot^2 x-1)/(cot^2 x+1)

A: We have to verify: cos2x=cot2x-1cot2x+1 Taking LHS, LHS=cos2x=cosx+x=cosx cosx-sinx sinx=cos2x-sin2x…

Q: Prove the following identity 1+ cos(2x) 1 sin(2x) tan(x) 1+ cos(2x) sin(2æ)

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Q: Photo is attached

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

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Q: Verify that the equation is an identity. cos 0+1 cos 0 %3D tan 20 sec 0-1

A: Topic- Trigonometry Equation

Q: cot2 B − cos2 B / csc2 B − 1  = cos2 B

A: Given: cot2 B - cos2 Bcsc2B -1=cos2 B To prove: The above identity is true.

Q: Prove that following identities: (sin 0 + cosec 0)+(cos 0+sece=7 tan0+cot 0

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Q: Prove the following. Provide all necessary solutions. 1.) [sin^2/cos] + [(csc*sin)/sec] = sin (tan +…

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Q: 5)Use De Moivre's theorem to simplify the following a)(cos 20+i sin 20)(cos 50+i sin 50)

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Q: 3. Prove the following identity (sin* Ø – cos* Ø) 1 = tan Ø sinø cosØ – cos²Ø

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Q: Prove the identity. TT COS +0+ -sin 0

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Q: Verify that the equation is an identity. 1+ cos 0 Show that (csc 0+ cot0) = 1- cos 0

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Prove the following identity: (1+ cotA+ tan A)(sinA - cosA) sin’A cos A со 3 3 sec’A - cosec'A

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Q: Establish the following identity. cos 0 – cos(30) = tan(20) sin(30) – sin 0

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Q: Prove that the following identity is true.   sin4 t - cos4 t / sin2 t cos2 t = sec2 t - csc2 t

A: Given that sin4t-cos4tsin2tcos2t=sec2t-cosec2t

Q: Prove the following identity cos(2t) – 1 sin(2t) - tan(t)

A: Given,          cos2t-1sin2t=-tant1