Factor the expression and use the fundamental identities to simplify. There is more than one correct form of the answer.

Q: Factor csc2 x − cot x − 3.

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Q: for what value Of real nunber? b will the product below be a (a-3i)(6+bi)

A: The given expression is: (2-3i)(4+bi)

Q: Factor each expression.        a. sec2 θ − 1        b. 4 tan2 θ + tan θ − 3

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Q: Find all the real square roots of -9/16

A: we have to find all the real square roots of -916

Q: find the product. Write the answer in standard form.  (5-9i)(4+8i)

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Q: Evaluate the expression 2 2i -3 + 3i and write the result in the form a+ bi. The real number a…

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Q: Establish the identity. (csc a- sec B) +(sec ß+ csc a)( sec B- csc a) = -2 sec B(csc a- sec B)…

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Q: Factor and simplify the expression. tan4x - sec4x

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

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Q: Find the roots of 3√1

A: Find the roots of 13

Q: Perform the division and write the answer in the form of a+bi Q.1 1/ (1+12i) Q.2 (4-3i) / (4+3i)

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

A: The given expression is

Q: Evaluate the expression ( – 7+7i) – (4 – 8i) and write the result in the form a + bi. The real…

A: Solve the equation

Q: Factor each expression completely. (a) 3x2 – 13x + 4 | (b) 3 cos2 0 – 13 cos 0 + 4

A: (a) part  Consider the given expression  3 x2-13 x+4 Then, 3 x2-13 x+4=3 x2-x-12 x+4=3 x2-x-12…

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

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Q: Rewrite the following expression using powers instead of roots, and simplify if possible: (x2y3)2+…

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Q: find the cube roots of 125i (all of them)

A: The given complex number is z = 125i

Q: Find the product of-5 + 4i and its conjugate. The answer is a + bi where The real number a equals…

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Q: Find the product of 2 3i and its conjugate. The answer is a + bi where The real number a equals The…

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Q: Find the four roots of ( 3 + 14 )

A: To find the four roots of the complex number.

Q: Find the four roots of ( 3+14)

A: The given problem is related with complex analysis. We have to find the four roots of 3 + i4. Note…

Q: Find v-w, if v = - 4i + 5j and w = 6i - 4j. |v - w|| = (Type an exact answer, using radicals as…

A: We can answer both the question as below

Q: If I have to evaluate the expression i-117 and write the result in form a+bi What does the real…

A: We will use simple formula    ( i2  =  -1 ) here

Q: Find the three roots of 8.

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

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Q: Find the real square roots of the number. 16 Select the correct choice below and, if necessary, fill…

A: √16 √(2.8) √(2.2.4) √(2.2.2.2)

Q: Evaluate the expression (1 + 8i) + ( – 4 + 7i) and write the result in the form a + bi. The real…

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Q: Find the three third roots of 4

A: Explanation: Given that,  π4 Need to find the three third roots or cube roots.

Q: Given p and g = , find p – ğ| and |P| – lg]. %3D Give EXACT answers. You do NOT have to simplify…

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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: Find the roots: x3 = 2 - 3i

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Q: Evaluate the radical expression and express the result in the form a + bi. (Simplify your answer…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Factor each expression completely.   a. 2x2 -7x + 3 b. 2 cos2 u - 7 cos u + 3

A: (a) Consider an expression: 2x2-7x+3……1

Q: for what value Of b will the real number? product below be a ca-3i)(6+bi)

A: Please rate my answer and feel free to ask any query,  thanks.

Q: Find the roots: x5 = 4i

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Q: Evaluate the quotient, and write the result in the form  a + bi.  (Simplify your answer…

A: To evaluate the quotient and write in simplest form.

Q: Multiply (4-3i) by an . appropriate factor to a give a product that is entirely real. What is the…

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Q: The distance is (Type an exact answer, using radicals as needed.)

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Q: Divide and express the result in standard form: -6i/(3 + 2i)

A: Given: -6i3+2i

Q: Find the value of each variable. If your answer is not an integer, express it in simplest radical…

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Q: Find the indicated powers and roots, giving the results in algebraic form: 1) the cube roots of – 8…

A: The cube root of the expression – 8 + 8i is given as: -8+8i3

Q: Evaluate the radical expression, and express the result in the form a + bi.

A: The value of the imaginary number i is equal to -1 and i2=-1. Substitute i for -1 in the radical…

Q: Evaluate the power, and write the result in the form a+bi . (Simplify your answer completely)…

A: This problem is based on simple complex algebra. We have understand the powers of i, that is iota.…

Q: Find the following quotient. Write the answer in the standard form. Do not use the trig form. HINT:…

A: Multiply and divide with the conjugate of the denominator and simplify.

Q: Evaluate the radical expression and express the result in the form a + bi.  (Simplify your answer…

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Q: Factor the expression. Use the fundamental identities to simplify, if necessary. (Th 4 sec³(x) - 4…

A: Given, 4sec³x- 4sec²x- 4sec x +4 Simplifying the above expression, 4(sec³x- sec²x- sec x +1)

Q: Factor the trigonometric expression and simplify. sec4x-2sec2xtan2x+tan4x

A: Recall the following fact to simplify the given expression.

Q: Use the given information to find the remaining roots. 5+2i is a root of x-12x +51lx2-78x+58=0 The…

A: From the polynomial of 4th degree