V6(cos 30° – i sin 30°) 3(cos 90° +i sin90°) a) z

Q: Find the general solution of 2sin^2 theta - sin theta-2=0

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Q: 41. 4(cos(-30°) + i sin(-30°))

A: To write the complex number in rectangular form:4(cos(-30o)+isin(-30o)) Solution: We know, the…

Q: Find all solutions to sin(3theta)=-1?

A: Given function is sin3θ=-1 ⇒    sin3θ=sin-π2        OR      sin3θ=sin3π2 Since, We know that sinθ is…

Q: Tan(cos^-1(1/3)+sin^1(4/5)). Find the exact value

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Q: (a) cos(cos-(2/3)) (b) sin¬1(sin(67 /5))

A: Given that: a) cos cos-123b) sin -1 sin 6π5

Q: tan 0 = 0.768 cos ) =

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Q: 1- Verify the identity sin?0 + 2cos0 – 1 sin20 + 3cos0 – 31- sece 1 -

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Q: 2. 2sin20 – 7 sin 0 = -3

A: Given, 2sin2θ-7sinθ = -3   We have to solve it.

Q: Sin(45.22) = Cos( %3D Round answer to the nearest hundredth (2 decimal places).

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Q: 10. cos 30 cos 0 – sin 30 sin 0 = 2 -

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Q: Verify the identity cos2 θ/2 = (sec θ + 1) /2 sec θ

A: Given: verify that cos2θ2=secθ+12secθ for verifying this we simplify right hand side

Q: Solve 5 sin(28) – 6 cos(8) = 0 for all solutions 0 < B< 2n B = Give your answers accurate to at…

A: Given that, 5sin2β-6cosβ=0

Q: 2) -sin? 0 +1 = 3sin? 0 4) -2 =-csc 0

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Q: Establish each identity.

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Q: Just tangent

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Q: (a) If cos^2(23∘)−sin^2(23∘)=cos(A∘), then A=   degrees. (b) If cos^2(6x)−sin^2(6x)=cos(B), then…

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Q: snip

A: In the range of one complete cycle of 2π radians sinθ takes 1/2 value at two distinct values of θ.…

Q: Solve the equation: 3 cosθ + 3 = 2 sin 2 θ, 0 ≤ θ 6 2π.

A: Given equation: 3cosθ+3=2sin2θ

Q: Find all degree solutions to the equation. 1 cos (2A 50°) = COS %3D 2

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Q: the exact value   Cos θ= 3/5, 0<θ<π/2 a. Sin (2θ)= b. Cos(2θ)

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Q: Solve the equation. 2 sin 20 - 3 sin 0 + 1 = 0

A: Just solve like quadratic equation by explicating the middle term and taking common factor.

Q: Apply half-angle formula to find: a. cos 15°           B. sin 15°          c. cos 5π/8

A: We know that, half angle formula for sine and cosine functions is given as sinθ2=1-cosθ2…

Q: 4 cos 0 =- and 270° < 0 < 360° 5 Find sin 20

A: Given that, cosθ=45where 270°&lt;θ&lt;360° We have to find sin2θ. Here θ lies in the 4th quadrant,…

Q: 1. COS I Verify the identity sin 2

A: see below the answer

Q: 1. Find the exact value: sinB: Given tanB= -2/5, 3r/2 <B< 2n

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Q: Solve 7 sin(20) – 3 cos(0) = 0 for all solutions 0 < 0 < 2n %3D Give your answers accurate to at…

A: Our objective is to find theta.

Q: (1- 2i ) -1  x ( 6 (cos 120 + j sin 120 )/2( cos     30+ j sin 30))

A: The given expression is 1-2i-1×6cos120+jsin1202cos30+jsin30. Simplify as follows.

Q: Approximate to four decimal places, when appropriate.

A: Solution(a)sin 42∘ (b) cos 77∘ (c)csc 123∘ (d)sec (-190)∘  To find the approximate to four decimal…

Q: If cos a + cos B= a and sina + sin B= b, then show that 2 sin 2a + sin 2B = 2ab 1 a2 + b2

A: given: cosα+cosβ=asinα+sinβ=b we have to show that  sin2α+sin2β=2ab1-2a2+b2 R.H.S: 2ab1-2a2+b2…

Q: Show sin 3A = 3 sin A cos²A - sin A.

A: Explanation: Given that: sin3A=3sinAcos2A-sinA Concept: sin3A=3sinA-4sin3A sin2A+cos2A=1

Q: tan sin -1/ 2 3 + COS 9

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Q: (cos20+i sin0) (cos30–i sin30)6 (cos40-i sin40)7(cos50–t sin50)8

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Q: Solve 3 sin(20) + 5 cos(8) = 0 for all solutions 0 < 0 < 2n = Give your answers accurate to at least…

A: We will use the double angle formula: sin(2θ)=2sin(θ)cos(θ)

Q: Solve the equation on [0, 21] by factoring. 2 sin? (0) + sin(0) = 0

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Q: 1. Find the exact value: sinB: Given tanB= -2/5, 3t/2 <B< 2n

A: Given query is to find the value of sinB.

Q: What is the period of y = 4 sin 3x? 3 pi 2 pi /3 pi/3

A: Given: - The equation is, y=4sin(3x) To find: - The period of the given equation.

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

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Q: cos 20 + sin2 0 = 0 %3D

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Q: Solve 7 sin(20) – 3 cos(0) O for all solutions 0 < 0 < 27 - %3D

A: use the trigonometric identity to solve for theta

Q: Find the solution(s) for theta. 6√3-9 sin 8

A: To solve the given trigonometric equation

Q: 9 (cos 20° + i sin 20°) · 4 (cos 113° + i sin 113°) Leave your final answer in Trig Form.

A: The sum rule of cos and sin are: cos(A-B)=cosAcosB+sinAsinBsin(A+B)=sinAcosB+sinBcosA The given…

Q: cos 70 +i sin 70 b). cos 20-isin 20

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Q: Part 2 Establish the identity. cos ? 0 - sin 20 = 1-2sin 2

A: Establish the identity  cos2θ - sin2 θ = 1-2sin2 θ ...(1)

Q: Use sum-to-product formulas to find the solutions of the equation.cos 4x - cos 3x = 0

A: cos4x-cos3x=0

Q: Tan^2 x= 1/3 and sin x + cos x =1 Use 2pie to complete the solutions

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Q: 5 and tan 0 13 5 find sec 0. 12 8 If sin 0 =

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Q: How do you evaluate both sin θ and cos θ? Sinθ = 21π/4       2. Cosθ = 21π/4

A: The question given is not possible because sin theta and cos theta  maximum value is 1 , it is not…

Q: 7 sin 0 – 1= 5 sin 0

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Q: 1) cos-105° COS 3) sin 165°

A: