Write z1 and z2 in trigonometric form and find their product. 21 = 1-i/3,z, = V3+i

Q: Find the quotient of z, & z2, leave answer in trigonometric form: z1 = 2 – 3i & z2 =1– V3i

A: Here, the given complex numbers are: z1=2-3i & z2=1-3i

Q: Make the indicated trigonometric substitution in the given algebraic expression and simplify (see…

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Q: Given. z1 = v3 + i, z2 = 2i Find the quotient z1/z, in standard form. z1/22 = Write z, and z, in…

A: I have uploaded detailed solution...hope you will get it easily...thanks

Q: 3 O is an angle in standard position whose terminal arm is in quadrant III and sin 0 = - V13 Find…

A: Here we have to find the value of cosx. Where x is in 3rd quadrant. The solution is following.

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

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Q: cosA cosB cosc 7) Use the Law of Cosines to prove the following identity z° +z9 +zD a b 2abc

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Q: 40 Use a Pythagorean identity to find the value ot 58 Suppose ABC is a right triangle, and the…

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Q: Find the acute angle in radians between the planes 1x+z=1 and 1y+z=1. You may leave your answer in…

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Q: 166.8 cm 107 cm 128 cm Use the given triangle to find the value of the sine ratio for 0. O 1.1962 O…

A: Given, Opposite= 128 cm Adjacent= 107 cm Hypotenuse= 166.8 cm

Q: Find the sine of ZH. 85 H. 77 36 Simplify your answer and write it as a proper fraction, improper…

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Q: Make the indicated trigonometric substitution in the given algebraic expression and simplify (see…

A: We need to find value of function by substituting values.

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

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Q: Find values for b such that the triangle has one solution. nline A= 44°, a= 6 6. sin44° 6. 0b26, 627…

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Q: a2 -u? du (uva? – u² + a² arcsin +C a

A: Given:          ∫a2-u2du Perform trigonometric substitution:  substitute…

Q: 53.1 12.5 7.5 36.9° E 10 Find the sine, cosine and tangent of Angle B B

A: For a triangle sin θ = opposite sidehypotenuse cos θ = adjacent sidehypotenuse tan θ = opposite…

Q: Differentiate and simplify your answer, if possible, using factoring and trigonometric identities a)…

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Q: Write 1 and z, in trigonometric form and find their product. z, - - 1+i3, z, - 1- i3 2(cos 30° + i…

A: Given z1= -1+i3 and z2 = 1- i3  Here we have to write z1 and  z2 in trigonometric form and find…

Q: Make the indicated trigonometric substitution in the given algebraic expression and simplify (see…

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Q: Find sin(a) in the triangle. Choose 1 answer: A 25

A: we have been given the triangle ABC.

Q: L Find the six trigonometric function of the following 2)(4) 1) (4, 4) Ans. Ans.

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Q: If the given integral / 2dx is solved by trigonometric +3. substitution, then what is the correct…

A: To solve a integral using trigonometric substitution means putting x in terms of trigonometric…

Q: Find the sine of ZS 74 24 70 R.

A: sine: Sine of an angle is defined as the ratio of the side opposite(perpendicular side) to that…

Q: Sind gofa) r fig4) ) and Dgofce) メー

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Q: Find the sine of ZB. 80 39 89 Simplify your answer and write it as a proper fra sin (B) = %3D

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Q: ind cose, given that sin0 = -5/13 and 0 s in quadrant III. %3D elect one: a. -12/13 b. -5/12 C. 12/5…

A: Answer is- Option a is correct Explanation is given below...

Q: de ,a > b >0 a + b sine

A: Complex numbers based formulas: z=eiθz=cosθ+isinθ                                         (1) Also,…

Q: Find a possible formula for the trigonometric function represented by the given table of values. 2…

A: Maximum value of y = 7 and minimum value= -1 So, amplitude= (max-min)/2 = (7-(-1))/2= 8/2=4    We…

Q: Find the quotient z1/z, in standard form. z1 = 6 + 6i, z2 = 3 - 3i Z1/Z2 = Write zz and zą in…

A: Concept Used: We can write the complex number z=x+iy in the trigonometric form as z=rcosα+isinα…

Q: The p oint on the unit circle determined by t is (2/5,square root of 21/5). FInd the terminal point…

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Q: %3D Use the formula asin BO + bcos B8 = Ja*+b°cos(B - C), where C = arctan(a/b), a>0, to rewrite the…

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Q: Find all cube roots of 4v2(1+ i). Write your answers in the form x + iy and x and y can be left as…

A: I have find argument and used the formula for rational power

Q: 3. the rectangular (exact) form: Write the following in 30(cos 45° –i sin 45°) а. b. 16cis315°

A: In rectangular form z= x+iy . Put x=r cosθ  and y=r sinθ for finding 'x' and 'y' or 'r' and 'θ

Q: 11. Given sint = ; use the Pythagorean Identity to find the cosine. 8. %|

A: From the given problem:   sin(t)=78⇒PerpendicularHypotenuse   Now applying the Pythagorean theorem:…

Q: 4sin 2 (x)-2=0 (Write exact radians in a list separated with commas.)

A: 4sin2x-2=0 sin2x=2/4=1/2 x=sin-1(+-1/2)

Q: dx Using trigonometric substitution to evaluate 12, we will get (1+cos20)de¸ What is the value of A?…

A: The integral function is,

Q: Rewrite the following expression in terms of u with u > 0. That is, to rewrite the expression in…

A: This question is based on Trignometric formula.

Q: Write the trigonometric expression as an algebraic expression in u. cot ( cos 'u) cot (cos 'u) =…

A: Inverse function

Q: Make the indicated trigonometric substitution in the given algebraic expression and simplify (see…

A: Given: y=16-x2, x=4sinθ for simplifying given expression we substitute x=4sinθ

Q: [2(cos 25 +isin 25)]. [5Ccos75+isin 75)]

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Q: A 25 24 7 Find cos(a) in the triangle.

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Q: Write 21 and Z2 in trigonometric form and find their product. - B+i, z, – 1- i3 4(cos 330° + i sin…

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Q: Find the quotient z1/z2 in standard form. z1 = 3V3 + 3i, z2 = 2i z1/z2 = Write z1 and z2 in…

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Q: The sine of ois ; and the cosine of a is -. Which is the cotangent 2 of o ? 2 2 в 3 D -3

A: Given that:

Q: nd the product. Leave the result in trigonometric form. (Let 0 s 0 < 360°.) cos(150°) + i…

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Q: Rewrite the expression for f(0) by finding a common denominator and simplifying. Type the…

A: trigonometric identies

Q: 19. Find a formula for the trigonometric function:

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Q: Sin, cos, and tan NH8 Yo Find the cosine of ZX. 65 56 33 Y Write your answer as an integer or as a…

A: We have to find cosx

Q: Find the cosine of ZI. 4 5. Write your answer as an integer or as a Cos (I) = Submit

A: As we know, in any Right angle triangle :- Cos θ = BaseHypotenuse

Q: A) Solue the Sin 40 = Cas 3G within the equation muge -180SOSI8O %3D

A: Solve

Q: Perform the operation and leave th cos 160° + i sin 160° 4(cos 80° + i sin 80°)

A: Recall: cosθ+isinθ=eiθ