1 cos²0 1 sin 9 1 tan 8 + tan 8 + || || Trigono 1 sin² 0 cos²0 1 sin cos 0

Q: . Expand and simplify the expression dada bile yd betwee (cos+isin)³ Express the answer in standard…

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Q: Is 3 a primitive root of 17? Find all primitive roots of 17

A: Introduction: A primitive root of a prime  is an integer  such that has multiplicative order .To…

Q: ean theorem state the Pythagores first and then strate the converse of Ha t this theorem.

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Q: Define the Consequence for Root Finding?

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Q: Which numbers satisfy lal = a? Which satisfy lal = -a? What about I-al= a?

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Q: If z1 and z2 are complex numbers such that |21| = |2|, prove that arg(2122) = arg ((21 + z2)²) .

A: This  problem is related with complex analysis. Given that z1 and z2 are two complex numbers such…

Q: Prove that (x - i) = > xi i=1

A: We will prove the following result.

Q: find the vlaue of x 12 16

A: The secant-tangent rule describes the relation between the secant and the tangent that are drawn…

Q: tan(u + v) = ______

A: You must be knowing the properties of sin(u + v) and cos(u + v)   those are,   sin(u + v) = sinu…

Q: Construct a proof that ZEIF = ZGIH. н

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Q: Determine all the roots of z +1 = 0

A: The given question is related with complex analysis. We have to determine all the roots of z4 + 1 =…

Q: Deduce the expression of Parseval’s theorem

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Q: Z

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Q: Suppose A=| use Diagonalization to compute A" 10

A: In the given question we have to find the 10th power of the matrix A s.t A=10-12. Concept: If a…

Q: find of mataices 'inverse 6

A: First of all, consider the formula to calculate the value of inverse for 2 × 2 matrix.Then, put the…

Q: Find x if:

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Q: Cing theN

A: Given limit is,limn→∞6n2-2n+12n2+1

Q: For complex number z and w, prove that zw-wz=z - w if and only if z =w or, zw = 1.

A: We know that , for a complex number|z|2=zz¯and when z is a real numberz=z¯

Q: Use Euler’s Formula to find ii

A: we know that  i=eiπ2 so, ii=eiπ2i=ei2π2                                                  ∵…

Q: let A. 2. . find A"

A: We have, A=1201To find An we will calculate A1,A2,A3,... and observe the pattern.

Q: 100 If A* = a + bi, compute for a and b.

A: To compute and a and b.

Q: Let 1 2 3 1 A = | 6 -2 3 and I3 =| 0 1 5 4 1 If 2. is a real number, compute 2I3 – A.

A: A = 1236-23524 I3=100010001

Q: x+ Find x such fhat HAI 10

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Q: Find all of the 5th roots of the number z = −√3 + i. Show all of your working

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Q: State and prove Littlewood's Third Principle

A: Littlewood's Third Principle, or the law of iterated logarithm, can be understood intuitively as…

Q: is called the multiplicative identity. • 0 -1 • 9 • 1

A: The multiplicative identity is 1because multiplying a number by 1 leaves it unchanged . If a is any…

Q: Find A*. 8i 1- i A = 16 3+i 2+i x - (; ; ) ? ? ? A* = ? ? ?

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