2(cos 120°+i sin 120°) 4(cos 40º+i sin 40°)

Q: Simplify cos[arccsc((2√3)/3)]. 1/2 no solution √3/2

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Q: If sec 0 = -13/6 and sin 0 > 0, what is 3sine + cos(0)?

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Q: 3(sin^2 90degrees-2sin 90degrees cos 90degrees+ cos^2 90 degrees)

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Q: Find all the solution to 3(1-cos theta )=1-cos^2 theta

A: Our Aim is to find the solutions to 3 1-cosθ=1-cos2θ - (i)

Q: Find all solutions to 10 cos2 r-13 cos T = -4 sec2 r+4 tan? r on 0, 27.

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Q: 1 - cos 20 58. Show that tan? 0 1 + cos 20

A: It is known that by double angle formula, 1-cos2θ=2sin2θ1+cos2θ=2cos2θ

Q: 9. If csc 0 =2 and cos 6<0, find sec 0. %3D

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Q: 1) Cos (47)=8 2) Tan (52) = x/4 3) Sin (80*) = 6/x

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: How can there be three forms of the double-angle formula for cos 20?

A: Three forms of the double angle formula for cos 2θ.

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: 0 12 cos 90°

A: 1) cos90 2)tan135

Q: Find all solutions to 2 sin2 3u - sin 3u - 1 = 0, if u is measured in degrees.

A: given that 2 sin2 3u - sin 3u - 1 = 0 we need to find  all the possible solutions of u. the above…

Q: Find 4x° cos(2r) dr. 1 (- sin(32) + sin(2)) 0. (sin(2)- sin(1)) 1 6(-sin(2) + sin(1)) None of the…

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Q: 1. [4(cos 12° + i sin 12°)]³. 3. [√3 (cos 25° + i sin 25°)].

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Q: Find cos (20) if sin 0= 8. cos 0>0 17

A: Given : sin θ=817Opposite side to θ is 8hypotenuse is 17 Now use Pythagorean theorem to find the…

Q: snip

A: sin4θ=sin2θ2=1-cos2θ22=141+cos22θ-2cos2θ=141+1+cos4θ2-2cos2θ=14+1+cos4θ8-12cos2θ=14+18+18cos4θ-12cos…

Q: 3. sin 27° =cos ? cos 73° cos 153° cos 27° cos 63° O O O O

A: To find equivalent of sin27

Q: 12 If tan(0) then 2 %3D sin(0) equals cos(0) equals sec(0) equals

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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: Find all solutions to cos(50) - cos(30) = sin(40) on 0 < 0 < 2n COS Give your answers as a list…

A: Given: cos (5θ) -cos (3θ) = sin (4θ) To find the all the solution

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: Show (without using a calculator) that sin π/7 cos 4π/21 + cos π/7 sin 4π/21 =√3/2 .

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Q: Show that sin² 0 cos² 0 8 1 cos (40). 8

A: To show that: sin2θcos2θ=18-18cos(4θ) Solution: We know: 2sinxcosx=sin(2x)    ..(1)cos(2x)=1-2sin2x…

Q: If 2 cos x – 9 cos x - 5 = 0, then = 0. Of these two equations, or the equation that has no solution…

A: we have to fill in the blanks: if 2cos2x-9cosx-5=0, then _______________=0 or _____________=0. Of…

Q: The solutions of the equation 3 sin ⁡ θ = 1 in the interval [ 0 , 2 π ) are

A: Given: The solution of the equation  3sinθ=1 and interval [0,2π)

Q: 15. Find sec0, given that sin 0 2 ,and 0 is in QIII. 5/21 21 d.- а.- 21 21 5 16. Find cos e using…

A: Use trigonometric identity to find value

Q: Establish each identity.

A: Our Aim is to prove the identity given below:-1-cos 2θ +cos (4θ)-cos (6θ)=4 sin (θ) cos (2θ) sin…

Q: Solve for 8: cos 1-3 cos8+2 = 1, (00). sin?

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Q: Solve for the missing variable. 1. cos(x) = sin(18) %3D 2. cos(37) = sin(x + 3)

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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: considering only the values of θ for which sec^2θcos(2θ) is defined, sec^2θcos(2θ)= ?

A: SecA=1/cosA Cos2A=2cos2A-1

Q: -5 cos 2B cos 6B -5 cos 4B + 5 sin 8B -5 cos 8B – 5 sin 4B 2 2 -5 cos 4B – 5 sin 8B -5 cos 4B – 5…

A: Solve : -5cos2Bcos6B Use formula = [cos(a-b)+cos(a+b)]/2

Q: Solve for 0 <0 < 2n. cos 30 + cos 40 = 0. Separate your answers with commas. |0 =

A: Recall the trigonometric identities. 1. sin A+cos B=2sinA+B2cosA-B22. sin A-cos B=2cosA+B2sinA-B23.…

Q: if 0°<θ<90° and sin⁡θ=3/8, find cos⁡2θ.

A: To find: cos2θ Given information: if 0°&lt;θ&lt;90° and sinθ=38 Formula used: cos2θ=1-2sin2θ

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

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Q: 17 7) cos 8) cos -810 9 9) cos 15x 10) sin 4. 11) sin 12) tan -945o

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Q: Select all the true equations. O cos(15) = sin(15) O cos(75) = sin(15) %3D O cos(75) = cos(15) O…

A: Use trigonometric angle conversion

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: Recall that sin2 0 means (sin 0)². find sin2 0. If sin 0 = sin< 0 =

A:

Q: (A[cos(6) - 3 cos(3) + 2] + B[– sin(6) +3 sin(3)] = 2, A[sin(6) + 3 sin(3)] + B[cos(6) – 3 cos(3) +…

A: Given that, Acos6-3cos3+2+B-sin6+3sin3sin3k+Asin6-3sin3+Bcos6-3cos3+2cos3k=2sin3k

Q: Show that the equation 2sinx cosx+4cos x=1 may be written in the form of tan x-2 tan x-3=0. Hence,…

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Q: Solve 8 sin(26) + 9 cos(4) = 0 for all solutions 0 < 6 < 2n.

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Q: If cos (2θ) = 3/5 and 0 ≤ θ ≤ π/4, find the values of i. sin (2θ) ii. cos (θ) iii. sin (θ)

A: Given, Cos2θ = 3/5 Formula: Sinθ= √(1-cos2θ) Cos2θ=2cos2θ-1

Q: 2. 4. 14TC 9) csc - 3. 11) sin 13) tan 3. 15) sin 17) cos 0 19) cot 4.

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Q: sin 61° = cos ; cos 17° = sin 0;

A: Given: sin61°=cosθ;cos17°=sinθ

Q: What are all of the solutions for the equation cos²(0) – 3cos(0) – sin?(0)= - 2 on the interval of…

A: Given,

Q: 4 If tan(0) = 3.0 <0<. , 0 <o< then 2 sin(0) equals cos(0) equals sec(0) equals

A: Given: tan(θ) = 43 ,    0≤θ≤π2  To find: sin(θ) cos(θ)sec(θ)

Q: How many solutions does the equation 2sin(x)cos(x) = sec(x) have for 0 ≤ x ≤ 2pi

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Q: Find the principle solution of tan(4 – 4x)= 0. %3D

A: find for x tan(4 - 4x) = 0 4 - 4x = tan-(0)              [ take both side tan inverse 4 - 4x = 0…