15 with A in QII and sin B = 17 Let sin A = with B in QIII. Find sin(A + B), cos(A + B), and tan(A + B). 13

Q: Eliminate the parameter t from the following. x = sin t − 5, y = cos t − 4

A: Eliminate the parameter and simplify it.

Q: 8. 4 sin(at +b), where a and b are constants.

A:

Q: 5. Find the e xact Value. ) sin I Sin( 6. Wtan sint 3.

A: (1) We have to find the exact value of the following -  sin-1sin7π6Since sin-1 and sin together will…

Q: Eliminate the parameter t from the following. x = cos t − 2, y = sin t + 5

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Q: 5. In AABC, m2B = 90°. sin A = 2x + 1.5 and cos C = 3x – 0.9. Find x.

A: Given: In Triangle ABC∠B=90οsinA=2x+1.5cosC=3x−0.9x=?

Q: Compute -i + cos -i sin a - sin a + i cos a where a E (T, ).

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Q: (b) Compute sin 20. Hint: sin 20 = sin(e + 0)

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Q: -똥, V5 with s in quadrant Il and let sin(t) 4 8) Let cos(s) = -, with t in quadrant III. Determine…

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Q: 06:- Find the result of the following. (Choose two only) 4 1- 2-Si(Vx+ dt OLLI x² 3- 7 sine do

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Q: If z = +i then Im(coshz) A) –sin1sinh4 B) cos1cosh4 e* +e* C) cos1 2 D) sin1cosh4 E) sin1

A: Topic:- hyperbolic function and complex number

Q: 57 sin 6 (똥 + 미) =글(c8 )%3D (cos w - V3 sin w) -

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Q: 7. d. cos 0 cos 20 + sin 0 sin 20 = V3 over 0, 2t)

A: We know the sum identities: sin(a+b) = sina.cosb + cosa.sinb sin(a-b) = sina.cosb – cosa.sinb…

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A: Given functions are fx=sinx+a and gx=bsinx+c cosx. We have to find values of b and c for given…

Q: 1. S dr 1+sin a+cos a

A: The solution is given below in the next step:

Q: Find / sin(2r) PV -dr R I +4 by invoking Jordan's lemma.

A: Sol

Q: 3) Find the value of cos(6x) dx.

A: Recall: ∫cosax dx=sinaxa+C

Q: 9. dt + 을 = COS t + Answer: s = sin t + 을..

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Q: the solving for equa tion ty=o is 1-y= COSX %3D 2-y= Sin x %3D y= tax

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Q: Q2/provethate Cos17 +SinI7 cos17-Sın17 %3Dtun62

A: We have to prove that                               cos17°+sin17°cos17°-sin17°=tan62°

Q: 0° S (c) Prove that: 2cos 20. cose 2 + 2 tan0. sin0 = %3D cos?e – sin? e cose o AEGW is drawn.

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Q: help!

A: Refer to the question, we need to sketch the provided function.

Q: 3. If v = sin- (4) + tan-' (±), find the value of r + y. 4. If z= ear+by. f(ax – by), prove that b…

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Q: When t = 0, AP = ..... so sin t will begin at a value of 0. As t increases from 0 to 7T/2, sin…

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Q: exp (еҳp(-in)) cos TT - i sin T 0.3679 - exp(cos t - i sin Tt) -0.3679

A: solution of the given problem is below...

Q: Eliminate the parameter t from the following. x = sin t − 3, y = cos t − 2

A: Eliminate t by squarring

Q: Find the value of Sin-1x + Cos-1x where x e [-1,1] В. п c. А. 1 D. 0

A: Since we are given with multiple number of questions and our guideline is solve the first question…

Q: 2/12 6. If sin(t) =- and cos(t) < 0, find the exact value of tan(t). %3D

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Q: 2 10) Given sin A = - where <B<n , find tan(A+B). 2 < A< T and cosB where 4

A: Please refer to the image

Q: 3) z = sin(ej³) + sinh(5230°)

A: We have evaluate the given complex number z=sinej3+sinh5∠30°

Q: 9. 3 cos(wt –@), where w and a are constants.

A: We use first Cos(a-b)=cos(a) cos(b)+sin(a)sin(b) and then we use Laplace transform of…

Q: 7) Determine an eq ,in (x) and (y) , and then find a) y sec 1t , x csc-1t b) y = (sin 0)* ,x = (cos…

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Q: 7a6(cos +i Si ) IF USE DE MOIURES TheoREM To Find Z. 23

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Q: e. Find sin (x – y) given that sin x = 8/17 with 0 < x < 90° and cos y = -24/25 with 180° < y< 270°.…

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Q: Photo attached

A: The parametric equations is given by,

Q: (e) Solve for x 4 + sinh(3x) = 4 cosh(3x). (f) Using Euler's formula, ei = cos 0 +j sin 0, derive…

A: This is a question from hyperbolic functions and complex analysis.

Q: 29 yn C ini n0 Ca 22. Evaluate cos-1(sin ). 16 h cowor

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Q: How do you solve this?

A: Given that cos x = 1/3 and x is in the interval (0, π/2).sin y = 1/2 and y is in the interval (π/2,…

Q: 4. sin ||

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Q: 4 sin 2t + 2 tan 2t = 0 %3D

A: 4sin2t+2tan2t=0

Q: 1. Given sinx 12 and cos y : 13 both x and y lie in sxs, determine a) cos(x+y) b) sin 2y

A: Given query is to find cos(x+y) and sin2y.

Q: with B in Q3 find sin (A B). 13 with A in 0l and cos B

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Q: y = C, sin at + C2 cos at, (a not to be eliminated)

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Q: 2. %3D 8. Assume that cos(r) = 15 for r in quadrant IV. Find sin(2.r), cos(2r), and tan(2r).

A: Given - cos(x)=1517, x is in fourth quadrant.To find-sin(2x) , cos(2x) and tan (2x)Here we will use…

Q: 8. Evaluate (a). (20-0y di (b). / COS I sin(sin x) dx -3

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Q: (1) Given that z = 1-iV3, express z in the form r(cos e + i sin e) Hence write down z7 the form

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Q: Find cos (0 + p) given that cos 0 = and cos p = and that 0 and p are %3D between 0 and n/2.

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Q: 22-j is 1. -1+jZ If Z = cos 0 + j(1+ sin 0), show that the magnitude of

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Q: Compute the indicated sin α = 15 17 cos B = cos = (a) (b) - 4 5 quantity using the following data.…

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Q: 2. Is it possible to write sin (37x) as a linear combination of sin(2rx) and sin(Tx) for all values…

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Q: Photo attached

A: Given: