Show that cos + i) =:IG + e) + iv3 - e) 4

Q: Express in the form a + bi where a and b are real numbers.

A: Here given equation is cos 2π/3 + i sin 2π/3 = cos 60° + i sin 60° = 1/2 + i 3/2

Q: Compute cos ψ, sin ψ, cot ψ, and csc ψ

A: If we have a right angle triangle with base is equal to B , perpendicular is equal to p and…

Q: 7. tan(3 + 4i)

A:

Q: Express in the form a + bi where a and b are real numbers.

A:

Q: To evaluate (csc z cos? I + tan' ¤) d, we may substitute u = cOS T. Select one: a, True b. None of…

A: Simplify the function

Q: Apply Maclaurln's Serles to Show (-1)*-1,2=-2) 2(n – 1)1 cos X=

A:

Q: Find f'co) if fco)= (Since\ %3D

A:

Q: Evaluate Jsinudu, a, cos u+c b. cos u c. -cos u + c

A:

Q: Determine whether u and v are orthogonal, parallel, or neither. u = (cos(8), sin(0), 1) v = (sin(0),…

A: If u and v are orthogonal then u•v = 0  if u and v are parallel then u • v = | u | •| v |

Q: by using the triangle method, Show that cos (21an n+1 %3D n2+1 n-1

A:

Q: A, = AP, cos (lot + 20) Az=APz sin (lot - 40) when A, lagS A, by 210, since A, may be written as :-…

A: If, X=B1sinωt and Y=B2sinωt-θ, then, it can be said that Y lags X by an angle θ .

Q: Let the position vcctor bc R CE) = <3€,2 cos (3€), 2 sin (3€) Compute the curuature

A:

Q: B)Convert r = √2 cos (0-) to cartesian.

A: we need to convert polar coordinate into cartesian.

Q: Find all angles v between −π and π that satisfy  6 cos(v)2+6 √ 2 * cos(v)= −3 .

A:

Q: B)Convert r = √2 cos(0-) to cartesian.

A:

Q: Determine the value of cos t when t = 5π, -2π, 17π/2,-13π/2.

A: cos t when t = 5π, -2π, 17π/2, -13π/2. We know that cos(A + B) = cos A cos B - sin A sin B cos (5π)…

Q: Find the areg between Ye CosX an d y--SinX trom o tr .

A:

Q: Compute the exact value of cos(-7π/8). Show work

A: Given function cos-7π8 We know that cos-θ=cosθ cos7π8 cosπ-π8-cosπ8 Now using half angle formula…

Q: by using the fi cos(3.2) YA 2 0.5 3.

A: In this question, the concept of a trigonometric function is applied. Trigonometric Functions The…

Q: The entrance of Angel Stadium in Anaheim is cemposed of baseball bats configured in various right…

A: Given∠DCE =34°CD =47

Q: Select all that are equivalent to sin ZGFH. sin ZGEJ sin ZEGJ cos ZFGH cos ZGEJ cos ZGFH tan ZGEJ

A: We will use similarity criteria first to prove that the given two triangles are similar

Q: Write z = 4(cos 120° + isin 120°) in rectangular form, a + bi.

A: z=4cos120°+isin120°

Q: If w=f(a,b,c)=cos(ab)sin(b)+c, what is at ( -,6

A: Given function and point is  w=f(a,b,c)=cos(ab)sin(b)+c and 12,π3,6

Q: Show that os (2 tan~ r) COs

A: We have to prove that cos(2tan-1x)=1-x21+x2.

Q: Express as a sum or difference.5 cos u cos 5u

A: 5cosucos 5u

Q: Show tkat cos (2 I +x

A:

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

A:

Q: If asin0 + bcos0=c Then prove that a cos0 - bsin0 = Va? + b? + c?

A:

Q: To evaluate tan z cos z dz, we may substitute u= cos z.

A: Given,          ∫tan3xcos2xdx

Q: What is the value of the i in the ex

A:

Q: If the point (p, q) , (m, n) and(p-m, q-n) are collinear show that pn = qm

A:

Q: 1 In right triangle ABC, mZA = 30° and mZB = 90°. Which of the following are true? I. sin(A) =…

A:

Q: iven that (1-cos(theta))/2=0.7, find csc^2(theta/2)

A:

Q: cos(Inɔx),>o

A:

Q: Prove that c) 1-tan?A -Cos 2A Htan?A

A:

Q: se I draw 20 circles in the plane, all passing through the origin, but no two tan eorigin. Also,…

A: Imagine the drawing of your n circles as a plane graph. The intersections of the circles are the…

Q: a, - pgâ, + z cos² pâ ‚, what is V •A ? :coS

A: Sol

Q: We have - (cos (u) du=

A:

Q: Evaluate using Theorem 2 as necessary.

A: Given, limt→0cost-costt Now by using the L-Hospital rule we get, ⇒limt→0-sint+2sint…

Q: Find   cos(u/2)   if   sec u=7.519

A:

Q: 2cosx cos2x+1 3. Prove that secx. Which double angle identity of cos2x did you use and why?

A:

Q: Use Wallis' formula to evaluate ? cosxsin²xdx 2

A:

Q: If z = os0+ I sin 0 and y= cos Isin p, then show that %3D 2 cos(@-).

A:

Q: Express 6(cos 2pi/3 + i sin 2pi/3) in the form of a +bi

A: Here the given polar form of a complex number is 6(cos2π3+isin2π3) . Now we express the polar form…

Q: Find a formula that expresses the fact that P(x, y) is a dis- tance 5 from the origin. Describe the…

A: Given that the p(x,y) is a distance of 5cm from the origin. We need to find the formula to describe…

Q: - con uen sin a pe() & BET, 2 = cos given sin B =

A:

Q: Given that v = u – 1, find (2u? + 5 cos v) in terms of only u.

A:

Q: (গ) দেখাও যে, I+cosA=cot'A

A: See the attachment