In right triangle ABC, sin B 2x-0.72 and cos C 3x- 0.98. Solve for r. %3D %3D

Q: Express each ratio as a single cor (a) (23.5 + j8.55)/(4.53 – j211) (6) (21.2– j21.2)/(3.54 – 3.54)…

A: Given : (a)  2.35-j8.554.53-j2.11 (b)  21.2-j21.23.54-j3.54 (c)  -7.07-j7.074.92-j.868 Here

Q: (37/4,2). -2- 4T -2 4TT (-a/4, -2)|(77/4,-2)

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Q: Divide 4 (cos 60° + i sin 60°) by 2 (cos 30° + i sin 30°) in rectangular form.

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Q: Example 12. Write z = 6(cos 150° + i sin 150°) in rectangular form.

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Q: Calculate -1- 3i. Give your answer in a + bi form. Give the solution with smallest positive angle.

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Q: 2 + 15z = 6coe(21) + 5ein(2)

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Q: (a) eln(8x) = 8. Answer: x = (b) 10log(8x+5) = 8. Answer: x =

A: Ln is to the base e and log is to the base 10

Q: Find the value of x in the complex equation (2x - 3yi)(3 + 4i) = 78 - 21i %3D

A: Given complex equation (2x-3yi)(3+4i)=78-21i To determine the value of x  First multiple left hand…

Q: Write the equation of the Law of Cosines?

A: We have to write the law of cosine

Q: Find the value of y in the complex equation (2x-3yi(3 + 4i) 78-21i O5 -3 03 -4

A: Given, (2x-3yi)(3+4i)=78-21i Expanding the LHS⇒ (2x-3yi)(3+4i)=6x+8xi-9yi-12yi2…

Q: If a bicycle wheel makes 7 rotations a second and has a diameter of 75 cm, what cosine function…

A: A bicycle wheel makes 7 rotations a second and has a diameter of 75 cm.The standard equation is…

Q: Convert r = 2 sin θ to an equation in rectangular coordinates. Please do not have any square roots…

A: We will use the formulas