Write the following expression in the forms of x+ yi where x and y are real nu (1) +3i - 5i (5 +2)(\5=1) (ii) (1) (-7+2i)*

Q: Find x. 6. 4 0 3 0 6 8. CO

A: To find: The value of x. Calculation: Using Intersecting secant-tangent theorem. Therefore, the…

Q: 5) Find the fourth root of-4-4i.

A: To find the fourth root of the below complex number

Q: Find the exact value of 2tan 15° /(1 - tan2 15°)..

A:

Q: Write the expression as an algebraic expression in x for x > 0: sin(2sin' x)

A:

Q: 2x -(sin-(- 1 + x2 - xP(- Select one: O True O False

A: We will use the fundamental theorem of integration and then evaluate the integral. Then we will put…

Q: 6. Evaluate the following and leave your answer in standard form [(1 – 4i)-1 – 2(i + 1)-'[(3 – 4i)(i…

A:

Q: Write the following in x + iy form: i -2 - i

A: We need to express the term is the form of x+iy

Q: 16. tan²(x) + sec²(x) = 1 O True O False

A: Consider a right angled triangle.

Q: 2. Make the substitution x = 5 tan(0) into the expression (25 + x²)3/2 and simplify. Leave your %3D…

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Q: Find (3+2)^2 using identity.

A:

Q: tan 9x - tan 5x 11. Simplify 1+ tan 9xtan 5x (SHOW WORK)

A: follow next step

Q: ip Prove tan0 = e-ip 2i

A:

Q: Find (3+4)^2 using identity.

A: To evaluate: (3+4)2 using identity. Solution: We know, (a+b)2=a2+2ab+b2        ...(1) Given,…

Q: 30 8. Evaluate >² – 3i + 5). - i=8

A:

Q: ANSWER WITH SOLUTIONS 1. Express 11, 15, 20, 12, and 18 into sigma notation.

A: Using Sigma notation we can express 11 and 15 as follows:

Q: Which of the expressions are defined, and whichare not? Give reasons for your answers. sec-1 0

A: sec-1 0 The given expressions is not defined.

Q: Express in terms of i. V- 80 -80 (Simplify your answer. Type your answer in the form a + bi.)

A: √(-80)=4√(5)i

Q: tan (2xy²) = 2sinh "(9)

A:

Q: Evaluate [3(4-j4) + (j3)(++j4)]tan (4-6i)

A:

Q: prove thati- Exi 2. (Exi) 2. (xi-X

A: Solution-: We prove that,

Q: tan (8x) sec³ (8x) dæ 7. 3 ес

A:

Q: EVALUATE ap- x2 + 64 O x – 8tan + c 8 O none O x – tan -1 +c 8 1 uis2 – a 8 x - -sin +

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Q: Find sin 8. 4/5 4|5 m15

A: Take point in parametric form and compare with given point then solve

Q: 1- 2 sinccos )

A: Solution:- cos 45°=1/√2

Q: 17. Simplify the expression. 3+4i 2+4i 22-4 12 22-47 20 -10-41 20 10+20 20

A: Topic:- complex number simplification

Q: If Xo and X, are two numbers with Xo < X, then the true one is

A: Answer:-  Option D is the correct answer.

Q: A6 - B= | verify that AB not equal BA?

A: first we will find AB by rule of product of matrix then we will find BA then compare both matrix

Q: Give the absolute value of the number. |-4 - 3i| = I. Submit Answor

A: For a complex number a+bi  A+Bi=√a^2+b^2

Q: 4Q Express 2= (1+2i)² 7-i in the form a + ib where a and b are real numbers.

A:

Q: (22 -2) S +5x2+4) tan Evaluate da a2+2

A:

Q: 27) (X+yi) = -2-2i 3

A: We need to find the value x and y.

Q: 2tanß 1-tan²B

A:

Q: 11) Verify the identity: sec 2x-1 sec' x-1= sec 2x +1

A: We start with the right side

Q: Find another representation in which '(2;)" a. ris negative and o<e < 2n b. ris positive and -2n < 0…

A: The point is r, θ=2, π3

Q: 7) 2tan² 0 = 1 + 2tan 0 + 3tan² 0 8) 1= tan² 0 + sec 0

A:

Q: 2. Determine the real ro accurate to 4 decimal

A: 2. Given,            f(x)=tanh(x2-8)

Q: - 5/2+81 +81 주 lim x--00 2/12+Vt²–167 3

A: we will use the fact that any constant number divided by a very large number (infinity) we get the…

Q: 259 17 8 --1 72 O xs-2 x2-2

A:

Q: prove the identity sec(x-π/2)=cscx

A: Here we have to prove the co-function identity sec (x - π/2) = csc x  Secant and cosecant are…

Q: Find the exact value of the expression. tan(8t/7) – tan(1/7) - 1 + tan(87/7) tan(n/7)

A: The expression is: tan8π7-tanπ71+tan8π7tanπ7 To find the exact value.

Q: 2 4<3 tan( 37x)

A: Solve 2tan37x-4&lt;3

Q: When simplifying 3i23, Tatiana got -3i. Organize the following steps in your checking of Tatiana's…

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Q: State the theorem that justifies the statement &lt;6= &lt;7.

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Q: se the power reduction formulas to rewrite the expression. (Hint: Your answer should not contain any…

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Q: Determine whether Ax) - approaches co or -co as x approaches -3 from the left and from the right by…

A: Put given values of x in given function f(x) and tabulate the corresponding f(x) values against x…

Q: Rewrite sin(x+5π4)sin(x+5π4) in terms of sin(x)sin(x) and cos(x)cos(x) using one of the following…

A: To rewrite sinx+5π4 in terms of sin(x) and cos(x) using sum/ difference identities.

Q: tan2 5° = tan 25°.Determine whether the statement is true or false. If the statement is false, make…

A: Given: tan25ο=tan25ο Determine whether the statement is true or false

Q: Let x = 5 sin 8, π/2 < 0 < π/2. Simplify the express X √ 25 - x² X √ 25-x² X

A: