14. Find the cosine of ZS 74 24 70 R.

Q: If sinr = In y, show that dyOUTM dr OUTMO (1--- (1– 2) dy = y. dr

A:

Q: Q5: Show that cosa = 1 – 2sin?" = 2cos?"- 1

A:

Q: 6. Write [2(cos15°+isin15°)J in rectangular form. (c) 4+4i (d) 4/7 + 4i/7 (a) 3+3i (b) 3/2 + 3i/7

A: Distribute the exponent 3, then for the polar part 3 will multiply with the angles.

Q: Q2: Evaluate Seas cos²(y s) ds. إضافة ملف

A:

Q: Let u = e-7*sin(7y). Then a harmonic conjugate of u is

A: If two given functions u(x,y) and v(x,y) are harmonic in a domain D and their first-order partial…

Q: 17 8+4 cos 0 %3D

A: The equation of the directrix is in the form of cosine since it is in the denominator hence we use…

Q: If the L[ eat cos2t] = (s-a)/( s2 - bs +31), determine the value of a.

A: Some of the formulas of Laplace transform Leat=1s-aLcosat=1s2+a2Leatcosbt=s-a(s-a)2+b2

Q: :- Find. fCu if f(b)= cos3t Lif(t}= FCS) = %3D s+9 Explain how to unify the denominators ... .....

A:

Q: Evaluate: Jy?cos2ydy

A: The given integral is ∫y2cos2y dy We solve the integral using integration by parts formula. From…

Q: If cos t = - and t is in the 3rd quadrant, then sint = %3D V32 6 V40 6 V32 2 V32 6 O V32 2

A:

Q: Is w = zī harmonic ? if so find its conjugate.

A:

Q: Find the Re(z) and Im(z) z=sin(e^i3)+sinh(5∠30)

A:

Q: iv) z, = ei01 ,Z2 = el62 then z,. z, = ei(81-02)

A:

Q: Z2 in H = {0,4,8} find all left cosettes

A:

Q: Find the quotient where z1 and z2 are given Z2 below. zi = 24 (cos(171°) + i sin(171°)) Z2 = 4…

A: z1=24(cos171°+isin171°)=24ei171°z2=4(cos51°+isin51°)=4ei51°

Q: B)Convert r = √2 cos (0-) to cartesian.

A: we need to convert polar coordinate into cartesian.

Q: Find the four fourth roots of  z = 81(cos 4pi/3 + i sin 4pi/3) w0=  w1= w2= w3= .  Write each…

A:

Q: 3Tt ) Determine; [cos (4t +) 4

A: solution given below..

Q: * If r(t) =8 cos(6t)– 3sin(31), find and sketch R(j@). *

A: Since, you have posted multiple question, we will solve the first for you according to the Bartleby…

Q: Find zw and . Write each answer in polar form and in exponential form. 2т z = COs 3 +i sin 27 and 57…

A: Given:z=cos2π3+isin2π3w=cos5π9+i sin5π9zw=?zw=?

Q: B)Convert r = √2 cos(0-) to cartesian.

A:

Q: Reduce to the form a + bi: a. sin (2 – i); b. cosh (1+ i).

A: Given: sin2-i cosh1+i To do: Reduce the given into the form a+bi.

Q: 1) Find the exact length of the following x = 4y? 1<y< 2 -

A:

Q: T (4) = %3D .a 12.b 0 6.cO 24 dO

A:

Q: lim, o (cos z)= takes which indeterminate form? А. 100 В. 00 С. оо D. Е. 1 х о 8 -18

A: Here, we can solve it by taking the limit of individual terms.

Q: On taking AABC, use cosines law: 450 300 500 Om)* =(450 m)* +(500 m)* – 2×(450 m)(500 m ) cos A…

A:

Q: Reduce to the form a + bi: a. sin (2 – i); b. cosh (1 + i).

A: Solution:-

Q: Write z = 4(cos 120° + isin 120°) in rectangular form, a + bi.

A: z=4cos120°+isin120°

Q: A) S sin edo b)S sec edo )Side Ssec?eddo E)S cos ede

A: We have to find the integral

Q: Convert the ! √ √4-1² 2 0 following to rectangular 32 r³z² sino cos o dz dv do dz dx dy

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: What is the exact value of cos ZPQR? 3. R. 21 16 7 16 3 16 4. 1/4

A:

Q: Sinex dx is a) Conv. to o 6) diverge b) cont. to 프 auou (P

A:

Q: b) (e** cos z) =

A:

Q: 4. Check whether u(x, y) = y³ – 3x²y is harmonic or not. If u(x, y) is harmonic, then find its…

A: Given u(x,y)=y3-3x2y

Q: 1. Identify the secant that intersects OA. B D A a. 1 b. DC с. ВС d. DA

A: Secant: a secant is a line segment on the circle such that the line segment touches exactly 2 points…

Q: 31. Refer to Figure 23(B). Compute cos y, sin , cot , and csc ự. 0.3 (A) (B)

A: Solution: Consider the given figure (B), hypotenuse= h = 1 base = b = 0.3 So, the perpendicular  = p…

Q: 3 Which of the following is the bscto_Ba-d equation written in lo %3D ogarithmie form?

A:

Q: 16. What rotation would carry this regular hexagon onto itself? Select all that apply А. 30 В. 120…

A: Since there are multiple questions the question number 16 is answered.Kindly repost with the…

Q: B. Let ulr,e) = r"sin(ne). Find 4 2n-2 +u -nr Ure or

A: Given

Q: 36sin(t)cos(t)=−16cos(t)

A:

Q: 1 de, where a, b, and d are real and a² + b² < d² a cos e + bsin 0+d

A: The given integral is: ∫02π1acosθ+bsinθ+ddθ Also given that: a2+b2&lt;d2.

Q: 10°+60+16)y=cos ux

A:

Q: Given So(t) = for 00, and = 2-&0 , calculate eo 5-16 %3D %3D

A: Given: S0t=k2-tk   ……1 where: 0&lt;t≤k2 and k&gt;0.   Also, e040=2·e080  ……2   To find: The value of…

Q: Show that w = 2(cos 15° + i sin 15°) is a fourth root of z = 8 + 8iy3 by raising w to the fourth…

A:

Q: Ⓒ'Evaluate Sot So Sox sing ²sin y dy dz dx tim of the

A:

Q: S St. Not e (cos48)² 45 ds

A:

Q: z2 = 2(cos7pi/12+isin7pi/12) what is (z2)^2 ? use de moivre law if needed

A: The given complex number is  z2 = 2(cos7pi/12+isin7pi/12)

Q: 12. Find another representation, (r, &theta), for the point under the given conditions. 1, and 2n…

A: We know that the angle around a point is 2pi. Hence pi/3 = 2pi+ pi/3

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.