Factor each expression completely.     a. x2 - xy b. sin2 theta - sin theta cos theta

Q: Simplify each of the following, giving your answer in the form a +bi , where a,beR: (1+2) (a) (2 -…

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Q: simplify the expression (square root of 16 - x square) sd much as possible after subtituting 4cos…

A: Using sin^2(x)+cos^2(x)=1

Q: Find zw and z/w. Write each answer in exponential and polar form. z = 6 ( cos pi/10 + i sin pi/10 )…

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Q: Factor each expression completely.   a. 2x2 +3x +1b. 2 sin2 u + 3 sin theta +1

A: Given expressions are, a. 2x2 +3x +1b. 2 sin2 u + 3 sin theta +1

Q: implify the trig expression. 8/1-sin(a)+8/1+sin(a)

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Q: Find the indicated power. Write the answer in standard form. (3 + 3i)³

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Q: Let a = - 4i – 33+ 3k and b = 4i – 33+ 2k. Find a – 36.

A: given   a→=-4i→-3j→+3k→    and  b→=4i→-3j→+2k→ we have to find a→-3b→

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: find each of the indicated products or quotients, and express the answers in standard form. (5 -…

A: To find product                           (5-2i)(4+6i)

Q: A 4 C 5 3 Find sin(ZABC +60°). B

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Q: Multiply. Leave the answer in trigonometric form. 2cis 4cis 117 Scis- Scis 11 11 Scis 8cis T

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Q: Find the numerical value of each expression. 1) Sinh 1  b) Sinh-11

A: a). By the definition of sinhx, we have sinhx=ex-e-x2 Now put x=1 in the above equation, we get…

Q: Write the given numbers in the form a + bi where a, bER (1) (–2+2i)³ (5-4i) - (3+7i) (ii) 4+2i) + (2…

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Q: In AABC, find each value. A. a. sin A b. sec A c. cot A d. csc B е. sec B f. tan B 25 24 B 7 a. sin…

A: Since you didn't mentioned which subpart to solve so according to guidelines of Bartleby I am going…

Q: Write each of the given numbers in the form a+bi : (a) e^(−iπ/4) (b) e^(1+i3π)/e^(−1+(iπ/2)) (c)…

A: (a) Given, Z=e-iπ4 We have, eiθ=cosθ+isinθ So,  e-iπ4=cos-π4+isin-π4         = -12-i12…

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

A: we have to find the exact value of sinA

Q: Factor each expression completely. (a) x² - y2 (b) cos? e - sin² e

A: We know that identity a2-b2=a-b(a+b)

Q: Factor each expression completely.     a. 1- y2b. 1 - cos 2 theta

A: We have to factor the given expression. We know the identity a2-b2=a+ba-b (a) We have to factor 1-y2…

Q: Rewrite each expressions as a product. 2 5 sin b B- 5sin 2B

A: To rewrite each expression as a product: 5sin 6β-5 sin 12β Use  the formula: sin x+sin y=2 cos x+y2…

Q: If a # B and of = 5α-3 and 3² = 5ß-3, find the equation whose roots are alß and Bla.

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Q: Write each of the given numbers in the form a + bi : e3i – e-3i (a) 2i i, (b) 8e(8+) i, (c) e i. +

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Q: Evaluate the expression ( – 6 + 2i) – (6 + 4i) and write the result in the form a + bi.

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Q: Factor each expression completely.     a. x 2- y2b. cos 2 theta - sin 2 theta

A: (a) x2-y2 = x-yx+y                Using, a2-b2=a-ba+b

Q: Write each of the given numbers in the form a + bi : e3i - e-3i (a) 2i -0.2794 + 0 i, (b) 3e(3+4) +…

A: Consider

Q: Write each product as a sum or difference with positive arguments. -4 cos 8A sin 2A -2 sin 10A – 2…

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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 cos C if a = 8, b = 7, and c = 15. А. 1 B. 0.5 С. -1 D. -0.5

A: a=8b=7c=15

Q: 1. For each expression, give a trigonometric substitution that will eliminate the radical. (a) Va? –…

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Q: Write the product as a sum or difference: 20 sin(46v)sin(12v)

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Q: 2. | Write each of the given numbers in the form a+bi : e4i – e-4i (а) 2i (b) 5e(6+) + (c) e

A: The given numbers area)e4i-e-4i2ib)5e6+iπ6c) e9eiπ3

Q: Type the correct answer in each box. If z =-1-13i and 26 = a+bi, then a = and 6 =

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Q: Find the magnitude of the yector v = 2j. %3D Write your answer in simplified radical form. j

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Q: Find all solutions sin 30 2. %D

A: Given: sin 3θ=-32

Q: Write each of the given numbers in the form a + bi : (a) e- i, e(1+i27) (b) el-1+) i, (c) ee i.

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Q: Find w a + bi where a andb are real numbers. 21+20i W = W =

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Q: Perform the indicated operations. Simplify results in rectangular form. 23 – 2i 1-iV3 a.)…

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Q: Find w =a + bi =/z where a andb are real numbers. 38 2i Answer: 142 =

A: To find w=a+bi=√z, for √(2i)

Q: -4i eti – e (a) 2i +

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Q: Multiply into a+bi form: 2-3i)*e^((2(pi)(i))/3)

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Q: Factor each expression completely. (a) 2x2 - 11x + 5 (b) 2 cos? e - 11 cos e + 5

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

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Q: Write the expression in rectangular form, x+yi, and in exponential form, re" 3x 3x cos +i sin 8

A: Consider             (6(cos(3π8+isin(3π8))4= (6)4ei43π8=1296 ei3π2 which is in  exponential form…

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

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

Q: 12. Use a 30 – 60 – 90 triangle to find the cosine of 60°. O V3 O 2v3 3 O v3 2

A: