25 8 with 270° < AS 360° and cos B = with 90° < B < 180° and find the following. 17 Let sin A = %3D cos(A – B)

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

A: Eliminate the parameter and simplify it.

Q: π/4 1 π/4 sin TX cos 2y sin 4z dy dx dz = 0 0 0 (Type an exact answer, using n as needed.)

A: Solution

Q: 5. (a) Expand (1+x) and hence find the value of (1.02) correct to 4 decimal place 1+sin 0 m-1 1-sin…

A: First expand 1+x4 then find the value of 1.044 Using the identity, a+b4=a4+4a3b+6a2b2+4ab3+b4…

Q: Prove the left side equal to right side in the following : 1 L-1 (s² + a²)² [sin at + at cos at] 2a

A:

Q: 3. Simplify x(t) = 3 cos(27200t + + sin(27200t + to the form x(t) = a cos(27200t + 0) where a and 0…

A: To convert an expression of the form Acosx ±Bsinxmultiply and divide by A2+B2=A2+B2AcosxA2+B2…

Q: 2 Given tan 0 = -and sin 0 > 0, find cos 0. %3D Cos 0 _ 3/13 13 О А. O B. cos O 0 = 3/13 COS %3D 13…

A: The given data is: tan θ= -23  and  sin θ&gt; 0

Q: This gives us Ma - + [12 cos(금) + 12 co여(음)+ 12 cos() + 12 cos(용) 49 64 (rounded to six decimal…

A: 1/4(12*cos(1/64)+12*cos(9/64)+12*cos(25/64)+12*cos(49/64))…

Q: 3. у %3D In(5 — е**) 4. x = et (cos 2t + 2 sin 2t)

A: Now the first given function is ln5-e4x The second given function is x=etcos2t+2sin2t To find the…

Q: 6. Setting æ = cos 0 show that T.(e) = [(- + ivI- =')" + (* - ivī- =')"] n where i = V=1.

A: This immediately follows as a consequence of De Moivres formula which states that e^(it)=cos t + i…

Q: Suppose that sin(a) = 4/8 and cos(b) =3/8 define in the first quadrant, determine sin(a+b). (round…

A: We have the relation,                cos2x+sin2x=1   If sina=48= 12                 cosa=1-sin2a…

Q: 10. 3 J√cos z sin ³ zdz COS

A:

Q: A periodic signal is given by r(t) = 3 cos(t) + cos (5t 2n - 2 sin (8t + 3

A:

Q: A B 25/sin² 5 (sec 0 - cos 0) d )* Which of the following is equal to S; x² +25 dx ?

A: The given integral is x2/sqrt(x2+25).

Q: 2. If 0° < 0 < 90° and cos 0 = ÷, find cos . O 42 V42 V6 6

A: Please see the answer in step 2

Q: In the process of calculating that: cos³ (112) de a substitution is made in the variable u, then it…

A: Given query is to find the integral after substitution.

Q: T/4 cos(8) 5r* sin(0) dr de

A:

Q: 9. The position of a moving particle as a function of time is given by: x = (4 - 0.11) sin(0.81)…

A: Hello. Since your question has multiple parts, we will solve the first part for you. If you want…

Q: 8. 3. (1 – cos wt) where w is a positive constant

A: In given options, 4 is taken instead of "w^2".  The solution for the asked question with correct…

Q: Part E

A:

Q: 7) Suppose cos(x – y) = xy. Find at the following points 7.1) (0, 5) 7.2) (0,– 5)

A:

Q: Q1: (1) Show that the value of € (-1, π), for which: sin² 0 1+ sin² 0 sin²0 1 + cos²0 cos² 0 cos²0 4…

A:

Q: Suppose m and n are constants and m #n. Evaluate sin(mx) cos(nx) dx-

A: To evaluate we first multiply and divide by 2 the given function.  Then use the formula: 2(sin(mx)…

Q: 4. sin M= 20 16 30 5. tan L = 6. cos Z = 16

A:

Q: 3 6. Show that [[[ y sinzdxdydz = (1– cos1). 2 COS %3D 00

A: We have to prove given integral

Q: 2 (t) ST ST Problem 8.1 It is known that n(t) - a + bi sin wt + az cos 2ut + as cos dut + ...

A: Consider the given equation:…

Q: Question 3 in picture

A:

Q: 6.3 Trignometric Techniques of fg 439/Ex 31 Evaluate Cos X Sin x dx Sol" Si 4" (-du)

A:

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°.…

A:

Q: 21) (1 + cos 9t) 2 sin 9t dt

A:

Q: 4. In triangle XYZ it is known that XY 1 YZ and sin X = cos Z. Which of the following must be true…

A:

Q: 7.32. Prove that for 05sr, -( . ) cos 2 cos (a) a(e -a) = sin 3r sin ba (6) (r-) - 7.33. Use Problem…

A:

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

A:

Q: 4. Write u = -2 cos Tt – 3 sin at in the form u = Rcos(wot – 8).

A:

Q: 3 s and tin quadrant II. 23. Find cos (s+t) given that cos s =- and sint = 4+6/6 25 4 6/6 25 O 4+6v6…

A: To find- Find coss + t given that cos s = -15 and sin t = 35, s and t in quadrant II.     Formula…

Q: 5. Given 0 < 0 < 27, solve cos² 0 = 1 – sin 0. ○0, 플,T O 0, 플, , 플

A:

Q: 5.3) Suppose that sin(a) = 4/5 and cos(b) =1/6 define in the first quadrant, determine sin(a-b).…

A:

Q: and <B<m 6. Given sin B = %3D 3' 2 Give the exact values for cos B and tan 3 V5 tan 3 3. 2/5 cos B =…

A:

Q: 8. Find all values of 0, if 0 is in the interval [0°, 360°) and cos 0 V3 2

A:

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

A:

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: 6. In right ALMN with right angle at N, sin L 4x-0.22 and the cos M 2x+ 0.28. Determine and state…

A: Given; sin=4x-0.22 and the cosM =2x+0.28.

Q: One of the correct steps to evaluate A sin²20d0 [² B cos 40d0 C) None Ⓒ//ww D do + sin²20d0 Ⓒ = [ √…

A:

Q: 15 2. Find the other 5 functions of the given angle if its sin 3. If cos e = and < e < 2 n n<0< 2n…

A:

Q: 5. Evaluate SO-2²πT ydx = 3π₁ given x = 0 - sine, y = 1- cos -0

A:

Q: 7. 3cos (@t – a), where o and a are constants 8. Show that L(cos 23t – sin 2 3t) = s²+36

A:

Q: Express the number 8/3 – 6i in the form R(cos(0) + i sin(0)) = Re", where R 0 and -T <0 < T. NOTE:…

A: Please check step 2 for solution

Q: Photo attached

A: Given: