(c) Prove that cos 35°+cos 45°+cos 75°+cos 85° = 2 cos 5° cos 20°.

Q: If A = 0J, then e = cos 01 + sin 0J = = cos sin 0500). - sin

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Q: (2) Evaluate I cos solution = cos² xdx 1 Hint: Use the half-angle identity cos²x = (1 (1 + cos2x) +…

A: We have given an indefinite integral We have to evaluate the integral.The half-angle identity is…

Q: 3 (cos 53° +i sin 53°) - 6 (cos 47° +i sin 47°) = r (cos 0 + i sin 0) r= .0 =

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Q: Find the formula of cos 3z and cosh 3z using (cos z, sin z) and (cosh z, and sinh z).

A: Step 1: Finding the formula for cos(3z):We use the trigonometric identity for cos(3z), which can be…

Q: Question 9 Use the given information to find the exact value of the expression. sin α = 1, & lies in…

A: Ans : B  = 25−6+421​​Explanation:Explanation:

Q: b) sin 1 с) cos 2x - 2

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Q: 7. (a) Write 1 + 2° + 33 + 43 + 5° using sigma notation. (b) Write 2k² without using sigma notation.…

A: A series can be represented in a compact form, called summation           or…

Q: 3) Use a sum/difference formula to solve: Evaluate sin (a – B) if sin a = (a in first quadrant), and…

A: We have, sinα = 45, α is in first quadrant cosβ = -1213, β is in second quadrant To evaluate : The…

Q: 14. If Cos 2 A.Cos 2B = Cos 20, prove that: Sin² A.Cos² B+Cos² A.Sin² B = Sin²0

A: Given We have to prove .

Q: 3. Show that cos 30 = cos 0 – 3 cos 0. [Hint: Apply De Moivre's Theorem.] |

A: Given: verify that cos3θ=cos3θ-3cosθ according to given hint theorem cosx+isinxn=cosnx+isinnx

Q: Using De Moivre's theorem, show that in 40 2 cos 0. = 8 cos³ 0-4 cos = 2 cos 30 +

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Q: 1+ cose 59. сos? 2 1+ cos 4 1+ 2 cos? 8 1 + 2 4 1 cos - > 0, so cos 8 8 4 2. II

A: Given that, cos2π8. To simplify this, apply the trigonometric property: cos2θ2=1+cos2θ22=1+cosθ2 in…

Q: O) sinßcosa + cosßsina sin 60°cos 45° + Cos (G0°sin 45°

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Q: R/2 sin 0 cos (cos a cosec 0) de TC (1-cos a).

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Q: Using trignometrie formula Solve sin e + 2 cose =| for angles between o and 360°

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Q: sin (A+B) cos(A-B)

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Q: e. cos 20 + 14 sin? 0 = 10 over [0°, 360°)

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Q: 8) Find / 2° (3xª + 1)´ dæ - 1)“ dæ

A: 8) The given integral is ∫x33x4+12dx

Q: 4) If Cos A= 5/13 Then without using calculator Find the value of Tan 2A O (-120)/119 O 49/169 O…

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Q: Question 2. If (1 + cos A) (1 - cos A) =3/4, find the value of sec A.

A: Given: 1+cosA(1-cosA)=34 Concept: Here we shall use one algebric identity, a+b(a-b)=a2-b2

Q: Given: cos 3' What is the value of cos(20)? O 9 9 9 is in QI. 4 9

A: Topic = Trigonometry

Q: Given cos 20= 3/4 and n < 0 < 3rt/2, find cos e 6. a) 7/8 b) -7/8 c) -V14/4 d) V14/4

A: given               cos2θ=34 and π&lt;θ&lt;3π2

Q: 18) fin

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Q: Complete the sentence below. cos (20) = cos 20-, -1=1-

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Q: 4. Find all solutions in radians. a) cos(50) = -1 IN 2

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 5 3n 3 b) Given sec A = 4 for the interval 2 <A< 2n and cot B = 2 for the interval 2 <B<n, evaluate…

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