1 Show that +. cos a sina 1 + cosa 1 + cosa

Q: cos -1

A: Given: cos-122=θ22=cos θ12=cos θθ=π4cos-122=π4

Q: in−1(x) + cos−1(x) =  ? 2

A: Given that : The equation is sin-1 (x) + cos-1 (x) = π2 .

Q: snip

A: Given: The equation is sin 4θ = cos θ4 sin θ - 8 sin3 θ .

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: - Use the double-angle identities to find tan(2x) if cosx = Enter an exact answer. Sain(4x) sin(1…

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Q: uppose that θ=arcsin(4/9) in the first quadrant. What is cos(θ/2)? (round to 4 decimals)

A: Given that: θ=arcsin49 in the first quadrant.

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>0

Q: Prove that sin 4A = 4sinA cos³A - 4 cosA sinA.

A:

Q: 4 Suppose that sine = and <0<. Find the exact values of cos and tan Cos Undefined tan Continue O

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Q: 3 Prove the identity: sin30 = sin® –sin30 using De Moivre's theorem.

A: To prove the given identity ,we have to use De Moivre's identity.

Q: if cosx=tany,cosy=tanz,cosz=tanx ,then find sinx

A: Given,

Q: prove the identity cos^3x sin^3x =(sin^3x-sin^5x)cosx

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Q: Prove that sin -1 x + cos -1  x = pie /2

A: We have to prove:

Q: ) A)= show that sn A-esA z|-Sin 2 A exact value of Sinis- losis Hence. find. the.

A: i To show that, sin A-cos A2=1-sin 2Aii To find the exact value of sin 15°-cos 15° by using the…

Q: establish each identity.

A: To establish each identity, lntanθ=lnsinθ-lncosθ

Q: 12 with A in QIII and find 13 Let sin A %3D tan(2A) = Pre %3D

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Q: 1. Express each as a single trig ratio. a) Gos 20a cos 5a- sin 2 Oasin 5a b) sin 95° cos 45°- cos…

A:

Q: Show that sin² 0 cos² 0 8 1 cos (40). 8

A: To show that: sin2θcos2θ=18-18cos(4θ) Solution: We know: 2sinxcosx=sin(2x)    ..(1)cos(2x)=1-2sin2x…

Q: Prove + cosß)* +(sina + sinß) = 4cos² a - B) %3D

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Q: Part 3 of 4 COS X d —CSC X + С dx To check for the result, prove that 1 - cos?x

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Q: Prove the identity. 1+ sinx cosx =2 seex cosx 1+ sinx

A: We need to prove the following identity 1+sinxcosx+cosx1+sinx = 2secx

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

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Q: Prove the identity. cosx- cos 7x tan 3x %3D sinx+ sin 7x

A: Here we use basic formulas of trigonometric ratios to find addition and subtraction.

Q: 3. Prove the identities following identities. tane sine + cos0 = sece

A: Given identity is tan θ ·sin θ+cos θ=sec θ   It is known that tan θ=sin θcos θ, sec θ=1cos θ Also,…

Q: 7. Prove: cos(0 + 2) 7) = sine.

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Q: cos(Inɔx),>o

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Q: If 5 tana =4 5 sin a – 3 cosa 1 Show that 5 sin a + 2cos a 6.

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

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Q: 7. Consider the identity _2 tanr 1+tan z sin(2r). (a) Verify the identity. (b) Find sin (4) if tan…

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Q: Find a series of cosines of multiples of x which will represent (x sinx ) in the interval (O, x) and…

A: Let's expand x cos(x ) , xcosx=x1-x22!+x44!-x66!+...=x-x32!+x54!-x76!+...             in 0,x To show…

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

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Q: (7) (a) Prove the identity using Double Angle and Sum to Product Formulas: sin 10x cos 5x %3D sin 9x…

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Q: Prove the identity. sin 4x 4 cos x cos 2x sin x Use the Double-Angle Formula for Sine as needed and…

A: Here we prove the identifySin4xSin4= 4 cos 4  cos 2x

Q: 4. As 0 increases from 90 to As ð increases for 180 to 270 degrees, describe the value of Cosine…

A: here we discuss the , some degree to describe the value of cosine and sine over the interval . cos…

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

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Q: Simplify sin “ z – cos“ æ O 2cos (x) - 1 O 2sin*(x) - 1 O 1+ 2sin*(x) O 1+ 2cos (x)

A: Using trigonometric identities.

Q: 7. Prove the identity. 1-cos 20 tan 0 %3D sin 20

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Q: 12 Let cos x = 13 with x in QIV, find sin

A: Value of cosx is given and x lies in the 4th quadrant.  Since x lies in the 4th quadrant means value…

Q: a1/ Prove that 1+ sine tane + sece - 1 tane - sece +1 cose

A: Note:-     as per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: Find the exact value of cos^-1(sin (7π/6))  show work

A: cos-1(sin7π6)nowsin7π6=-12

Q: 5. Determine the exact value of sin 1l7 |. Include a clearly labelled diagram. [3 marks]

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Q: cos A . Show that· = sec A is an identity. %3D 1-sin² A

A: Doing some manipulations, this can be done

Q: TT CoS-+COs sin 3 = sin Prove that Sin 3 - 6. 6. 2.

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Q: Prove that; (a) cos4θ- sin4θ = cos 2θ  (b) Sin (π/4 + A) + Sin (π/4 - A) ≡ √2 cos A

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

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Q: 17 prove 4 Cos" ☺ - Sin" 0 = Cos20

A: