Establish the identity. (csc a- sec B) +(sec ß+ csc a)( sec B- csc a) = -2 sec B(csc a- sec B) Simplify the left side of the identity by expanding each term and combining like terms. (Simplify your answer. Do not factor.)

Q: 1. Simplify each expression but rationalizing the denominator. 2 a. 2i+3 b. i+4 (3i + 1)(i – 2) i-3…

A: Solution:To rationalize the denominator Formula:i2=-1(a+ib)(a-ib)=a2+b2

Q: Perform the indicated operation: (5+2i) / (6-6i)

A: Complex number

Q: Divide. 3 i 9 -6 i 3 i 9-6 i (Simplify your answer. Type an integer or a fraction. Type your answer…

A: To divide  3i/(9-6i)

Q: 1. 3n 2.3n 2.25-1.30-를 3. (V): 4. (x 5. (n*)i

A:

Q: 25 Divide and simplify. Write the final answer in the form a+bi: (10+5i)/(2-i)

A:

Q: Multiply. 5i •6/ 5i • 6i =

A: we know that     i=-1i2=-1

Q: Find the exact value of sec 30°. sec 30° = (Simplify your answer, including any radicals. Use…

A: To find:sec30∘

Q: Divide. 6 +2 i 1+ i 6 + 2 i 1+ i (Simplify your answer. Type your answer in the form a+ bi.)

A: We have to solve above question

Q: a°c=7 2 a² b°c a® b-?c¬4 note: a complex fraction is of the following form, like the form above:

A:

Q: Factor and simplify the expression. tan4x - sec4x

A:

Q: Evaluate the expression 7+i 4 – 2i and write the result in the form a + bi. The quotient is

A:

Q: Add or subtract as indicated and write the result in standard form: (-2 + 6i) + (4 - i)

A: Given (-2 + 6i) + (4 - i)we have to simplify & write in standard form If (a+ib) & (c+id) are…

Q: a+b Let a * b = 2 What is its identity element?

A: Group theory: Identity element of the group

Q: Factor the expression and use the fundamental identities to simplify. There is more than one correct…

A: The given expression is

Q: Perform the multiplication and use the fundamental identities to simplify. There is more than one…

A:

Q: Divide and simplify to the form a+ bi. 80 i 3+ i

A: NOTE: Refresh your page if you can't see any equations. . multiply and divide by 3-i

Q: Factor the expression and use the fundamental identities to simplify. There is more than one correct…

A: The expression is given by,

Q: Find the product: 7i(2 - 9i)

A:

Q: (3-i)² 2.

A:

Q: Make the trigonometric substitution x=atanθ for −π/20. Simplify the resulting…

A:

Q: Establish the identity. 2 ( csc 0+ 1)( csc 0- 1) = cot 0 Multiply and write the left side expression…

A:

Q: Perform the indi cated operations and simplify the expression. 2r-r-3 6r - 7r- 3 4r 12 -1 - 12r +9…

A:

Q: Simplify: 3 + 21 + 4i + 6

A: We need to simplify 3+2i+4i+6. So,           3+2i+4i+6        =3+6+2i+4i        =9+6i

Q: 4. What is the simplification of the following complex expression (i? = -1) 5-i 3+i

A: To simplify the given complex expression:- 5-i3-i

Q: Find the quotient. Express the answer is standard form. 4 + 3i 7- 5i

A: The standard form of a complex number, z is z=x+yi . Here, x is the real part and y is the imaginary…

Q: Perform the multiplication and use the fundamental identities to simplify. There is more than one…

A: Given that the expression is 5cscx+55cscx-5. It is required to perform the multiplication and use…

Q: Establish the identity. (1 + sec 0) (1 - sec 0) = - tan ²0 Multiply and write the left side…

A: Given, (1-secθ)(1+secθ)= -tan²θ Simplifying the above expression we have, 1+secθ-secθ-sec²θ= -tan²θ…

Q: Simplify the following complex expression. (3 + 4i) + (7 – 2i)

A:

Q: Perform the indicated multiplication. Simplify your answer in the form of a + bi. -3i(3-2i)

A:

Q: Simplify completely: (5−2i)(3i)

A:

Q: Divide and express the result in standard form: 2i/(1 + i)

A:

Q: The product below is equal to 7+3i. Determine the values of a and b. (a+bi)(1+i)

A: Let z1=a+i b and z2=c+i d , where a,b,c,d are real numbers.z1z2=a+i bc+i d        =ac+i ad+i bc +i2…

Q: Multiply. (7 + 8i)(6 – 5i) (7 + 8i)(6 – 5i) = (Simplify your answer. Type your answer in the form a…

A:

Q: Factor the expression completely. 3 cos2 a- 13 cos a- 10

A:

Q: Evaluate the expression (3 - i)(-1+2i) and write the result in the form a + bi. | CCEA

A: Multiply

Q: Find the exact value of sec 30°. sec 30° =| (Simplify your answer, including any radicals. Use…

A:

Q: Simplify the expression. 4i2−6i−7i2 +3i+4

A: Given,

Q: Determine the product of (1 + 1) and (1– 3/) A) 2-4i B 2- 2i c) 4- 2i D) 2+ 4i

A: Product of (1+i) and (1-3i)

Q: What is the cofunction of the complement of csc 57 o?   a. sec 33o   b. sec 57o   c. csc 57o   d.…

A: Any function of the complement of an angle is the cofunction of the angle.  We know ,  csc90∘-x =…

Q: Solve the equation below. Separate multiple solution with a comma. 22 = 50

A: Apply square root on both sides of the given equation and solve to get the answer.

Q: -5 – li Divide: Write your answer in a + bi form -2 + 5i a = 29 b =

A:

Q: 8. Find the quotient. Write the answer in standard form. 3+4i a. 3-4i -1+i 2+i b.

A: We have, a.  3+4i3-4ib.  -1+i2+i To evaluate: The Quotient in standard form.

Q: Co Color ttus answ Simplify: Simplify Simplify 25x + 17y-3x-2y 14+62-10+ 9z 7x+4x- Color this answer…

A: As per the company guidelines we can solve first three parts. I hope that the given solution will…

Q: Find the quotient. Write the answer in standard form. 4+2i/7-9i

A: Given,

Q: Evaluate the expression and write in the form a + bi.

A: To evaluate the expression and write in the form a+bi. (a). Given expression is 8+3i4+3i.…

Q: Find the exact value of sec 30°. ..... sec 30° =| (Simplify your answer, including any radicals. Use…

A: Here we have to find the exact value of sec 30° and csc 45°.

Q: 110. Discuss the difference between the products (a + b)(a – b) and (a + bi)(a – bi).

A:

Q: Factor each expression completely. (a)     2x2 − 11x + 5

A:

Q: -7+7i Divide: 3+5i

A: Given expression is -7+7i-3+5i

Q: A: Write (5 – 5i)* in the form a + bi where a and b are real numbers. B: Write (5 – 5i)* in the form…

A: