E The alternating current in an electric inductor is | =5, where E is voltage and Z = R+X_i is impedance. If E= 5( cos 50° + i sin 50°), R = 6, and X_ =2, find the current.

Q: 5) cos A 30 B 16 34 7) sin Z 32 40 24 x, 9) cos Z 24 30 x,

A:

Q: Find all solutions of the equation in the interval [0, 2n). 2 cosx-3 cos x-2=0 Write your answer in…

A:

Q: te: I. Match Column A in its correct equation in Column B. Write the correct let number. Column A…

A:

Q: 3 (cos 53° +i sin 53°) - 6 (cos 47° +i sin 47°) = r (cos 0 + i sin 0) r= .0 =

A:

Q: How can we express the length of the dashed blue line? sin 12 n/3 O cos 6. 05 O tan 6 How can we…

A: Given query is to find the length of the indicated lines on unit circle m

Q: Solve 2 sin (w) – 9 sin(w) – 5 = 0 for all solutions 0 < w < 27 - W = Give your answers accurate to…

A:

Q: Obtain the general solution to the equation. dr +r tan 0 = 7 tan 0 de The general solution is r(0) =…

A:

Q: 6(sec? z - tan²I – 6) I- 6) sin z + cos? I sin z 3 O 6 csC I -30 sin z -30CSC I 36 sec I O-30 seC I

A:

Q: Cos 30 5-u cosØ do = Tz

A: ∫02πcos3θ5-4cosθdθ

Q: 2 1-cos 2z Is equivalent to: O cos? x O sin? O sec? x csc2 x

A: Solve  2/1-cos2x

Q: Establish each identity.

A: 1+secθsecθ=sin2θ1-cosθ

Q: Show that the equation z? = sin z + r cos r+ 17 has at least two solutions. Use facts and theorems…

A: Here we can use the fact that, If f(x) is continuous in [a , b] and f(a) and f(b) has opposite sign…

Q: olve the equation on the interval 0≤θ≤2π 2sin^2θ+sinθ=0

A: on solving this we get

Q: Find all degree solutions. 2 sin 20 + sin 20 – 1 = 0 In ascending order: °k and °k and ok

A: Factor the given equation and solve for sin2theta

Q: Find all values of x in the interval [0, 2(pi)] that satisfy the equation.  14 + 7 cos(2x) = 21…

A:

Q: Find all real numbers in the interval [0,2x) that satisfy the equation. 2 9 cos y + 29 cos y + 20 =…

A:

Q: (2 (cos 15° + i sin 15°))² = 2 (cos 15° + i sin 15°) · 2 (cos 15° + i sin 15°) = x What does x…

A: Given 2cos15°+isin15°2=2cos15°+isin15°·2cos15°+isin15°=x Solve the following expression is as…

Q: Solve 4 cos (w) – 21 cos(w) + 5 = 0 for all solutions 0 < w < 2n w = Give your answers accurate to 2…

A:

Q: 30. cus 70 + i sin 70= A 7(cos 0 + i sin 0) B 7(cos 0 - i sin 6) C ( cos 0 + i sin O? D cos 20 cos…

A:

Q: Solve z-(21TI)2 Ti liti) -0 Expoess the solut ibns in Theia taigrometric

A: Here, we need to solve z2-2i+1z+ii+1=0. To avoid complication, we will substitute z=x+yi.

Q: 17n ) sin (-) 9T b.) tan c.) CoS 6. 2 13п ) sec 3 e.) csc 4 f.) cot 4

A: Definition used -                          sin(-θ)=-sinθsin…

Q: Solve sec(x) = on [ 0, 27 ). - There are two solutions, A and B, with A < B. Give your answers…

A: The given equation is: sec(x)=95 So, the solutions are: x=0.98176535+2πn,5.30141995+2πn;n∈ℤ

Q: Solve sin(2x) + sin r = 0 0 for all solutions in the interval [0, 27). |3| Enter exact radians. Hint…

A:

Q: Solve sin (w) - 7 cos(w) for all solutions 0 < w < 2T COS Give your answers accurate to 2 decimal…

A:

Q: Solve and find the solutions. 1. 2 cos x – cos x sin x =0 2. sec^2 x + sec x – 2 = 0 3. 2sin^2 x –…

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the…

Q: 6. Find the value sin ( 390 degree) a. 1/2, b. (square root of 2) /2 c, -1/2

A: Given     Sin(390)=? First we convert the 390 into simple form

Q: How do I find solutions of the equations below in the interval [0, 2?)? 1. 15 sec2 x - 20 = 0 2. 8…

A:

Q: Given 0≤θ<2π , solve 4 tan ⁡θ−4=0 .

A: By using trigonometric equation formula, we solve the given trigonometric equation.

Q: Find all values of x in the interval [0, 2?] that satisfy the equation.    18 + 9 cos(2x) = 27…

A: Simplification as quadratic equation

Q: Solve 7 cos(2w) = 7 cos (w) – 3 for all solutions 0 < w < 2n w = Give your answers accurate to at…

A:

Q: Find all solutions of the equation cos x sin x−2 cos x=0. The answer is A+Bkπ where k is any integer…

A:

Q: Solve 12 cos (t) + 2 cos(t) - 2 = 0 for all solutions 0 < t < 2n t = Give your answers accurate to 2…

A: See the answer below

Q: Solve 6 sin (w) 4 5 cos(w) – 7 = 0 for all solutions 0 < w < 2T W = Give your answers accurate to 2…

A:

Q: The expression sin(r) cos(40°) – cos(x) sin(40°) equals i) sin(x – 40°) ii) cos(r – 40°) iii) sin(x…

A: We know  sin(a)cos(b) - cos(a)sin(b) = sin(a-b) given expression, sin(x)cos(40°) - cos(x)sin(40°)

Q: sin 30 4. sin e cos e 4 cos 0 – sec 0

A: To verify the identity: sin3θsinθ cosθ=4cosθ-secθ. Proof: We have an identity, sin3θ=3sinθ-4sin3θ…

Q: sec 0 — сos cos O sin 0 sec 0 + cos 0 1 + cos? 0

A: To prove that,             secθ-cosθsecθ+cosθ=sin2θ1+cos2θ

Q: Solve 6 sin(2w) – 6 sin(w) = 0 for all solutions 0 <w < 2n. W = Give your answers accurate to at…

A: The trigonometric  identity is expressed as sin 2x=2 sin x cos x

Q: How do you solve this and can you show me step by step?

A: Given that tanθ+cotθ=secθcscθ

Q: cos () 12 cos( + 끈) COS = CoS V2 sin

A:

Q: 1+ cos "x =2 csc x-1 sin x o verify the identity, work each side sepa 2x 1+ cos %3! sin x

A:

Q: 12 (b) sec ( sin 13

A: Evaluate the form.

Q: Find all the solutions of the equation, cos(2x) + sin(x) = 0, in the interval [0, 27). Units are %3D…

A: We have to find the solution

Q: Solve the equation for θ if 0° ≤ θ < 360°.  sec θ − 2 tan θ = 0

A:

Q: 30. cus 70 + i sin 70 A 7(cos 0 + i sin 0) B 7(cos 0 – i sin 6) C ( cos 0 + i sin 0 D cos 20 cos 50…

A:

Q: π/4 tan 0 If u= sec 0, then d0= sec 0

A:

Q: Solve sin (w) = 7 cos(w) for all solutions 0 < w < 27. W = Give your answers as values accurate to…

A: Topic- trigonometry ratio

Q: number (cos 0 +i sin 0)Sis equal to Cong 05 a51icin 05)

A:

Q: Solve 2 cos (t) – 3 cos(t) – 5 = 0 for all solutions. - t = where Select an answer Give your answer…

A: solve by substitution we get  cost=5/2,cost=-1 for cost=5/2 this equation has no solution bt for…

Q: rectangular form. [3 (cos 40° + j sin 40°)] [4 (cos 80° + jsin 80°)]

A: