АСТIVITY З PROVE MY IDENTITY Prove the following identities using different trigonometric identities. Show your complete solution in a good form. 1. tan x + cot x = csc x sec x 1 2. sec 0 + tan 0 = sec 0-tan 0

Q: 1. sin? 2x = 4 sin²x cos² x

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Q: cos(x + y) Prove the identity: cot y – tan x. cos x sin y

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Q: cot 20 = csc0– 2 sin @ 2 cos 0

A: on solving this trigonometry problem we will prove ,

Q: Evaluate the trigonometric functions at the special angles. Match the function with its value. 1.…

A: ⊙ tan(210°) = tan(180°+30°)                        = tan(30°)…

Q: cosx 11. Prove the identity: tanx + = sec x 1+ sinx

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Q: sec² (x) tan?(x) cot (x) sin(x) cos (x) sin(x) 1 1 3 sin (x) sin(æ) + II II II

A: The given identities are 1-sec2xtan2x, 1sin3x-cot2xsinx and sinx+cos2xsinx.

Q: sec 0 tan 0 Establish the identity = sin 0 1+ tan? 0

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Q: sin t According to the quotient identities, cos t cos t and sin t

A: Solution: Let a right triangle ABC with angle t = θ Therefore sin θ = BCACcos θ = ABAC Now,…

Q: cos² x COS X + sin" x cos? x %3D 1. Use the identities to prove 1+ tan x

A: It is trigonometric identity problem.

Q: Verify the identity algebraically. Use a graphing utility to check your result graphically.…

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A: Complete the given proof:

Q: sin B-sin C B+C cot- tan 2 В-с (c)Proove the following identity %3D sin B+sin C

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Q: Verify the identity. Show your work below. csc(x) + sec(x) = sin(x) + cos(x) tan(x) + cot(x)

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Q: sin 0 Simplify: I + cos 0 O sec 0 – tan 0 O cse 0 + tan ở O csc 0 + cot 0 О csc @ — сot @

A: Given expression is  sinθ/(1 + cosθ)

Q: tan r-1 31. Which expression is equal to tan z+1 using identities? cot z 1-cot z cot z 1+cot z 1+cot…

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Q: VI. Find the exact value of the expresssion: a) cos(sin=1) b) tan(sin¬'#)

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Q: O TRIGONOMETRIC IDENTITIES AND EQUATIONS Verifying a trigonometric identity Complete the proof of…

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Q: sina – sinß a - B a +B (a). sina + sinß = tan cot 2 2 (b). cos20º + cos 100° + cos 140° = 0

A: To prove  sinα-sinβsinα+sinβ=tanα-β2cotα+β2 solving left hand side  sinα-sinβsinα+sinβ using the…

Q: Proving Identities Verify the identity. 1. sin e (cot e + tan 0) = sec 0 2. (sec 0 – 1)(sec 0 + 1) =…

A: 1.To prove - sinθ (cotθ+tanθ) = secθTaking L.H.S - L.H.S = sinθ(cotθ+tanθ)L.H.S = sinθ…

Q: 1. Prove the trigonometric identity. tan²0 sec 0-1 - 1 = sec 0

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Q: 1. Prove Trigonometric Identity (a) cos (sec) - cos 0) = sin2 0 cose (b) (c) 1-sin 0 1+cos 0 cose =…

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Q: /hat trigonometric substitution should be used to evaluate A x=3 tane B None C x=3 sece D x=3sin0 E)…

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Q: (3) Trigonometric Identities sin? 0 + cos² 0 = 1, sin? 0 = 1- cos² 0 cos? 0 = 1 - sin² 0 1 + tan? 0…

A: (a) Sin θ = 35     cos2 θ = 1- sin2 θ     cos2 θ = 1- 352cos2θ = 1625tan2θ = sinθcos θ2tan2θ = 352…

Q: os x cot x 4. cosx-sin x cot x -1

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Q: O TRIGONOMETRIC IDENTITIES AND EQUATIONS Verifying a trigonometric identity Comple proof of the…

A: cot x .sec^2x  because 1 + tan^2x=sec^2x that is (cosx/sinx).(1/cos^2x) that is (1/sinx).(1/cosx)…

Q: Verify the identity algebraically. Use the table feature of a graphing utility to check your result…

A: As per the company's guidelines, we are supposed to answer only first question. Kindly repost the…

Q: Integrate using the method of trigonometric substitution. Express the final answer in terms of the…

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Q: Verify the identity. You must use the format used in lecture, i.e. show that LHS = ... = RHS or RHS…

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Q: sin 40 + sin 20 12. cos 48 + cos 20 A- tan 30 B B tan 0 cot 30 D D cot 0

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Q: Verify the identity algebraically. Use the table feature of a graphing utility to check your result…

A: We will solve the following.

Q: 20) Establish the identity. cot 0 – tan 0 cos(20) cot 0 + tan 0

A: Given, cotθ- tanθcotθ+ tanθ = cos2θ   We have to prove the above identity

Q: cos? 0 1- sin 0 I+ sin 8. Prove that 1 + cot 0 csc 0 sin 8+ co. Prove that tan? 0 1+ tan? 0 sin? 0.…

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Q: Using half-angle identities, find the exact value of tan Note that (1 cos 0 1– cos 0 sin 0 tan 2 1+…

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Q: sin x = CsC X Prove the identity: cot x + 1+cos x

A: We have to prove given identity.

Q: 8. tan 6a sec 3a = 2 sin 3a sec 6a

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Q: Verify the identity algebraically. Use the table feature of a graphing utility to check your result…

A: Given function (6/(cos(x)+1)+(6/(cos(x)-1). We will use trigonometry identities to solve given…

Q: csc² a 3. sec 2a = cot² a-1

A: Given, The trigonometric identity  sec2α = csc2αcot2α-1 We have to verify it.

Q: Prove the identities:   csc x – cos x cot x = sin x

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Q: sec 0- cos 0 sin? 0 Prove the trigonometric identity: sec 0 + cos 0 1+ cos? 0

A: Using trigonometric ratios :  sec θ=1cos θ. using trigonometric identities: sin2θ+cos2θ=1,…

Q: 7. 2 cot 4x = cot 2x – tan 2x

A: The objective is to verify the trigonometric identity.

Q: Verify the identity algebraically. Use the table feature of a graphing utility to check your result…

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Q: Fill in each blank so that the resulting statement is true.

A: DeMoivre's formula s used to solve the problems in which a complex number is raised to some power. A…

Q: 3.) Tan-1 z3 .) Coth¬1 z,

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Q: sec x tan I Verify the identity: cos x cot x tan I sec x

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Q: sen x . cos x ( tan x+ cot x)=1

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Q: 3. cosʻx– sinªx = 1 – 2 sin? x

A: Using Trigonometry identities,