Given the two triangles shown in the diagram, 11 2. a = B 6 cos(0 + B) = (a) () - (57) (6) Exact answers only. Use radicals if necessary. NO DECIMALS. 3. b = 14

Q: 01- find the values of x and y for the following:- c) (2 + 5i)(x + yi) = (3-5i)²

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Q: 5. Find x and y 3y-4° 1o0

A: In a cyclic quadrilateral, the sum of a pair of opposite angles is 180°

Q: 30. Solve using trigonometric substitution S - (1+x² dx

A: Here I am attaching image so that you understand each and every step.

Q: Find tan L

A: Given,

Q: 6cis (π/2)/ 12cis (π/8) Divide. Leave your answer in trigonometric form.

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Q: 5х-5 P 13х-7 190° R S

A: Given figure is showing that, ∠PQS is formed by a tangent and a secant and the intercepted arcs are…

Q: Given, x = -2 + 6i and y = 2 – 5i. Determine: a. x+y b. x-y c. x(y)

A: Proceed as shown below...

Q: What is the simplest radical form of the expression? (82*y®) O 16z°y" /2y O 4x? y° Vx²y O 8a? y³…

A:

Q: 5. Simplify to a C. Write answers in the form a + bi a, beR (g) (1+3i)(1 – 4i) (h) (5 – 2i)(-1+ i)…

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Q: 2.) Solve for x. 152° 2x°

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Q: Multiply the following. - 5ab (xa° + ya - 2) - 5ab (xa° + ya - 2) =(Simplify your answer.) 6

A: Given the term is , - 5ab(xa⁶ +ya³ - 2)  We have to multiply the term and simplify it  First we have…

Q: If A = -2-3i and B = 3+4i. what is A/B

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Q: 3. Write the expression as a complex number in standard form.

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Q: Question 4: Find "a" and "x"| B 81 D.

A: Use the property of cyclic quadrilateral. The sum of the opposite angles are 180°.

Q: V-375u°v 8.7

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Q: Find the value of i20 + + 2i².

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Q: What is the simplified form of the complex mumber А. 1 C. 8+ 6v3i D.-10-i В.

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Q: HoW/ Find all values (roats) of Thfollowing:. iz +1 = 2i e %3D %3D

A: Answer

Q: a) (1 – 8i) – (2 – 7i) b) (1 – 2/)? c) 4 - 31 4 + 3i d) (2/)° – ¡16

A:

Q: 7rebz dx = 2 Your answer should be in exact form.)

A: Given integral to evaluate ∫-227xe6xdx This can be integrated using the rule ∫u·vdx=u∫vdx-∫u'∫vdxdx

Q: A) 1-2リ 1. =6 25 (1-2i)? (1+2i)²

A: We know that (i)^2 = -1

Q: Find the exact value of the following expression. tan (- 855)° ..... tan (- 855)°: (Simplify your…

A: Please refer the attached image for complete solution.

Q: tan :- 1 6. I3I

A: We take tan inverse on both sides

Q: Q.1) Identify a and b after the following is simplified: (6+2i)-(4+3i)

A: Given expression is (6+2i)-(4+3i)

Q: 5. Solve for X 60° C B 80° E

A: The angle formed by the two secants that intersect inside the circle is half the sum of the…

Q: . Simplify the expression, (4 – 3i)(-3+ 6i) – (2 – i). Show your work.

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Q: a = 2i + 3j - k, b = -4i + 5k |

A: Given: a=2i+3j-kb=-4i+5k

Q: Calculate the following: A. (17-4i) +(13+2i) B. (18+3i) -(13-2i) C. (9+2i)(2-4i)

A:

Q: 5. a. Simplify the following expression: V-25 + 2i*24+ 4 (i6)² + 19 + 8i| – 4(5+ 6i) v-36

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Q: 1 arctan 1 + arctan 3 - 4 ||

A: Formula used:

Q: 1. tan (5225°)

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Q: 9. Find x. 30 4x+1 183°

A:

Q: 1. Simplify the expressions then evaluate where possible, showing all steps. Express your answer…

A: As per the guidelines I had solved the questions with three sub parts. Thank you.

Q: 3) Use the properties of exponents to simplify each expression. a. (3*)(3') b. (3³)(3-1) c. (2º)²

A: We use properties am an = am+n (am)n= amn

Q: 1. Simplify: 4 + 3i h) 5 – 2i 6 - 8i g) (3 – 2i)2 i

A: g) 3-2i2h) 4+3i5-2ii) 6-8ii