Express in Rectangular Form: a. 6(cos 180°+ i sin 180°) b. 3(cos 232° + i sin 232°)

Q: Write 2 cos(3t) + sin(3t) as Rcos(wt - ). |

A: Here we will write in the form of Rcos(ωt-∅),

Q: Which expression is equal to cos(6t)?

A: Recall:  cos(2t)=cos2(t)-sin2(t)     Given,   cos(6t)

Q: r= sin 0 r= cos 0

A: Solution:-

Q: Cos

A: According to the guideline we should have been able to solve only one question at a time

Q: Simplify (TnA + into an expression without fractions and 1-sin A involving only a single…

A: Given, 11+sinA+11-sinA We have to simplify the expression.

Q: Express as a sum or difference.cos 4t sin 6t

A: The given product is, cos 4t sin 6t. The objective is to express the product cos 4t sin 6t as a sum…

Q: Solve for angles x and y of the following: (cos*2x – sin*2x) + j(csc²y – 1) = 0

A: The given problem is to find the values of angles x and y for the given complex equation. Given…

Q: Use the fact that 2(V6 + V2) cos- to find sin and cos 24 24

A: Given that the fact cos π12 = 146+2 To find the cos π24  and   sin π24

Q: According to the Cofunction Theorem, which value is equal to sin 35   0?      cosec 25 0

A: By Cofunction identities we have sin90°-x=cosx We have given sin35° This can be written as:…

Q: cos 0 de I 5 + 4 cos 6

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Q: tan(cos(e2) + cosh(2 + j3))

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Q: Find the exact value by using a sum or difference identity. 1. cos 285° 2. sin 165°

A: To find exact value of cos 285°. Use the difference identity  .

Q: complete the double-angle identity. sin2x= cos2? = tan 2y=

A:

Q: Give the exact answer. To enter the square root of a number, type "sqrt(a)". For example, type…

A: Use summation formula of sine

Q: Use the addition formulas to derive the identity. 25) COS sin x 25) %3D

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Q: Simplify to a single trig ratio: cos*(f) sin( – 180 + f) tan(180 – f) · cos(360 – f)

A: There are six trigonometric functions which are sine (sin), cosine (cos), secant (sec), cosecant…

Q: Use the Cofunction Theorem to fill in the blank so that the expression becomes a true statement. sin…

A: Now,          sin60°

Q: Now, please follow the example and complete: sin () = a) 157 b) cos 137 c) tan 3

A: According to our guidelines we can answer only three subparts.Part a,            sin11π6

Q: Use a cofunction to write an expression equal to sec 2n JT sec Osino OcosO OcotO Oseco OcscO ?

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Q: Simplify, using the double-angle formulas: 1- 2 sin2(15°)

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Q: Use the Cofunction Theorem to fill in the blank so that the expression becomes a true statement. sin…

A:

Q: O do 5 sin cos de Sin ³0 + 3sing-4

A: Given that ∫5 sin θ cos θsin2θ + 3 sin θ-4dθ We can solve this by using substitution method. Needed…

Q: Use the half-angle formulas to simplify the expression. 1- cos(x – 3) 2

A: We know that cos(2t)=cos2t-sin2t=2cos2t-1=1-2sin2t⇒2sin2t=1-cos(2t)⇒sin2t=1-cos2t2

Q: Use the Cofunction Theorem to fill in the blank so that the expression becomes a true statement.…

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Q: Verify the identity by transforming the lefthand side into the right-hand side.

A: We know the standard identity: sin2A + cos2A = 1   To show: sinθ/2cscθ/2 + cosθ/2secθ/2  =  1

Q: Find all solutions in radians: 15 − 9 cos (6t − 5) = 14

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Q: Simplify cos(3Z45º) sin(5Z60°)

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Q: |sin(Inx)dx

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Q: solve for the angle u, where 0 … u … 2π sin 2θ - cos θ = 0

A: To calculate the angle u

Q: Use the Cofunction Theorem to fill in the blank so that the expression becomes a true statement. sin…

A: Given sin (150)

Q: Express as a cofunction of a complementary angle sin 46 degrees 37 inches

A: sin 46 degrees 37 inches To Express as a cofunction of a complementary angle

Q: List all angles (in radian measure) between 0<x<47 2 sin(x) + 1= 0 such that

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Q: If sec(x)=11/2 (in Quadrant-I), find, cos(2x)=

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Q: 3) Change r2 = 2 sin 20 to rectangular coordinates.

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Q: Find all solutions in radians using exact values only.     tan 2  3 x= 1

A: tan23x=1

Q: Find all solutions in radians using exact values only. 2. COS ²(2x} = 1 +.

A: Square root both sides , then solve both sides by 2x.

Q: Use the figure to find the exact values of sin , cos , and tan . 2' 24 10 To enter the square root…

A:

Q: Use a cofunction to write an expression equal to sec 8. JT sec 8 - %3D

A: sec3π8=1cos3π8Use the following identity:  cosx=sinπ2-x=1sinπ2-3π8=1sinπ8=12-22=22-2+22-2

Q: Find all solutions in radians using exact values only.     cos3  5x =- 1

A: Given:  Cos3 5x=-1To find all the solutions in terms of radians (exact values…

Q: Find all solutions in radians using exact values only.       cos24x = 1

A: Given : cos24x = 1 cos 4x = √1 cos 4x = ±1   So, We have :       cos 4x = 1, cos 4x = -1   Using the…

Q: cos (srj3) cosh"( 10<30")

A: Given : (1) ln [ ( 5+j3 ) + ( 6e^(j*12) ) ]- (10∠30° ) (2) cos(5+i3) cosh^(-1) ( 10∠30° )

Q: cos 6x = 1

A:

Q: solve for theta if 0 degrees&lt;theta&lt;360 degrees sin theta/2 -cos theta=0 theta=?      enter…

A: Given equation is By using the identity  we get

Q: Use a right triangle to simplify the given expression as shown. Assume x 7 0.

A: Given that sinϕsec-1ϕx2+164. That is, secϕ=x2+164ϕ=sec-1x2+164

Q: Evaluate a)  2 cos180°/sin90° and  b) sin 150⁰

A: Solution: The objective is to find the required values

Q: Write z = 2(cos 60° + i sin 60°) in rectangular form.

A: Write z = 2(cos 60° + i sin 60°) in rectangular form.

Q: 2-Simplify first, then determine the exact value. (sin7n/24 + cos7a/24)2

A:

Q: Solve the equation sin(2t) = -0.72 for t, where St<2n. Enter your two values of t in radians,…

A: We have to find

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.