Write each expression in the standard form a + bi . [2(cos 50° + i sin 50°) ]3

Q: Evaluate and write your answer in a + bi form. [3(cos 92° + i sin 92°)]° : Round to two decimal…

A: We will solve the problem

Q: write each trigonometric expression as an algebraic expression in u. sin(cos-1u)

A: Solution: Consider the given trigonometric expression is: sincos-1u Let  θ = cos-1u⇒cos θ = u Now,…

Q: snip

A: 2cos20°+isin20°3

Q: Write the expression in the standard form a +bi. 21 COS +i sin 12 12

A: givenz=[2(cosπ12+isinπ12)]6 using De Moivre's theoremz=26(cos6xπ12+isin6xπ12)

Q: Find the four fourth roots of z = 16( cos 2 + i sin 2). Write each root in standard form. Wo = W1 =…

A: Given: z=16cos2π3+isin2π3 Rewriting the above complex no in exponential form, we get: z=16ei2π3 The…

Q: prove the Cos0=(A.B/AB).

A:

Q: Find the four fourth roots of z = 16( cos +i sin 12). Write each root in standard form. Wo = W1 = W2…

A: z=16cos2π3+isin2π3 For forth roots of z z14=16cos2π3+isin2π314 z=2cos2+nπ3+isin2+nπ3 Where n=0,1,2,3…

Q: 3. Determine the exact values for each of the following: (13л) (b) cos 57 - 57 (c) sin 3 (c) tan 6

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Q: Write each of the following numbers in the form of a + bi a) cos(3 – i) b) 2i sin h (4 – ni)

A:

Q: find the exact solution of each equation.

A: Solve the equation 3cos-1(2x)=2π by taking the cosine in the right-hand side and solve the cosine…

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

A: To express: The expression 3cos3π2+isin3π2 in the form of a+ib. Given: The expression is…

Q: Evaluate and write your answer in a + bi form. [3(cos 92° + i sin 92°)]% = Round to two decimal…

A:

Q: 2. Write each of the functions in the form Aet cos Bt +iBed sin Bt, where a, B, A, and B are real…

A: To write each of the given function in the form  A* eatcos(bt)+Beat sin(bt) . We apply three…

Q: Find all real numbers that satisfy the following equation: cos(3x) = 1 %3|

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Q: Evaluate and write your answer in a + bi form. [3(cos 58° + i sin 58°)]* = Round to two decimal…

A:

Q: O Write sin(2 - i) in the form a+ bi;

A: Given that sin2-i We know that sinx+iy=sinxcoshy+icosxsinhy Here comparing the above function  x=2 ,…

Q: 5 Solve, write your answer in a + bi form. 3 (cos () + i sin ()I 2

A: We have to find the a+ib form.   According to our guidelines we can solve only one question so…

Q: Find each co-function. a) sin 18 b) tan 31° = c) cos(-종) 3: COS

A:

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

A: 20cos11π6+ i sin11π6

Q: write each trigonometric expression as an algebraic expression in u. cos(sec-1u)

A: Given the trigonometric expression cos(sec−1u)

Q: write each trigonometric expression as an algebraic expression in u. cos(csc-1u)

A: Given:  Let y=coscsc-1 u To Find: To write the given trigonometric expression as an algebraic…

Q: Find the exact value of cos A in simplest radical form. B 25 7 A 24

A: find the exact value of cos A in the simplest radical form

Q: Write each expression as a product. a. sin 70 + sin40 b. cosa cos 3a

A: The expressions: a) sin 7θ+sin4θ b) cos α-cos 3α

Q: Find the exact value of cos A in simplest radical form. 25 7 A 24

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

Q: 2 (cos 150° + i sin 150°

A: The given complex number is in Polar form, so we covert it into Cartesian form by using the…

Q: 15. Use AABC to complete the following statements. b. cos () = m2_ a. sinA = cos c. Solve the…

A: A+B+C=180 And since C=90 so A+B=90 sin theta=opposite/hypotenuse cos theta=adjacent/hypotenuse

Q: Simplify each of the following.   cos 2 165 degree - sin2 165 degree

A: We know the formula: cos2A = cos2A - sin2A   cos 2 165 degree - sin2 165 degree = ?

Q: Write each expression in rectangular form x+yi and in exponential form reil. 4 (cos +i sin sin ) 27

A: 4cos2π9+isin2π93 On simplification, we get 4cos2π9+isin2π93=43cos2π9+isin2π93=64cos3·2π9+isin3·2π9…

Q: Evaluate and write your answer in a + bi form. Round your decimals to the nearest tenth. [5(cos 120°…

A:

Q: Write the formulas for cos(A - B) and sin (A - B)?

A: We have to write the formulas for cosA-B and sinA-B. We know the formula for cosine difference angle…

Q: Express each one of the following in the standard form a + ib. 1 (1+ i)? (iii) 3 - i (3+4i 1 + 1- 2i…

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Q: 3 cos- + isin 6. 6.

A:

Q: Evaluate the following in the form of a + bi: (cos 30 + i sin30)^4

A: GIVEN: (cos 30 + i sin 30) 4

Q: Write the expression in the standard form a+bi. 4 cos + i sin 10 10

A: Given : 4cosπ10 + i sinπ105

Q: 10. Write each expression in the standard form a + bi: a. [4(cos 10° + i sin 10°)]³ 4 b. [V2(cos 15°…

A: Since solve the first question for you. If youwant any specific question to be solved then please…

Q: cos^2(7x)-sin^2(7x) b). sin15°cos15°

A:

Q: Write cos(i – 4) in the form of a + bi.

A: Use the trigonometry formula for cos(A-B)

Q: Find the fifth roots: 2(cos () + i sin (#))

A: To find the fifth roots: 2cosπ4+i sinπ4

Q: Evaluate and write your answer in a + bi form. [2(cos 83° + i sin 83°)]® = Round to two decimal…

A:

Q: Verify the following trigonometric identity:cos4t−cos2t= sin4t−sin2t

A: The trigonometric identities can be verified by solving the left hand side and right hand side…

Q: Use the formula for cos (A + B) to find the exact value of cos 75 degree

A: Given The expression is cos 75°.     Formula :- cosA+B=cos A cos B- sin A sin B

Q: Rewrite the expression sin(2pi/3) using the appropriate cofunction

A:

Q: Give the exact value of each of the following:       cos ( -4pi/3)

A: Give the exact value of  cos-4π3

Q: Find the exact value of cos A in simplest radical form. В 10 5 C А V75

A:

Q: Find all degree solutions for each of the following:    cos 3u = 0

A: Given: cos3u=0 We know that value of cosθ is zero at odd multiple of 90∘

Q: Simplify each expression using the fundamental identities sin2 sec2r-1

A:

Q: (i) Solve the equation such that the argument of each solution is in ] – 7,1]: z5 + z. + i sin ()) =…

A: We are given an equation z5+z.cosπ8+isinπ8=0. Let us write the complex number as z=reiθ=r cos θ+ir…

Q: Write each expression as an algebraic (nontrigonometric) expression in u, u > 0. sin 2 sec

A: Given sin2 sec-1u6WE find algebraic expression in u, u>6