Find: L [sin 2 5t ]. 0-co 5 Cos 10t) s² + 25 O A.) B.) 1 5 s² +25 2s 2(s +100) C.) D.)

Q: 8. 9. A) 1−sinx Ĵ (COSX + 1 COS X+X 2(cosx+x)2 E) ·x)³ dx = ? 1+tan²a (2 + tana)² -+C B) +C D)…

A:

Q: For Q=q° cos pb and P=q"sin pb to be canonical, find the values of a and b.

A: For the function Q and P to be canonical, Q,P=1...(i) Q=qacospb,P=qasinpb, therefore it follows:…

Q: Given that 4 cos z - 2 sin z= a cos 2x + b, the values of a = %3D and ||

A:

Q: er j70 a) sin(70) = 7(e+e °) b) cos(70) 2 con ej +e j0 c) cos(0 + ø) = te jø 2 (ej0 te j°) (ej®+e…

A: Use exponential form of sine and cosine

Q: 14.) cos? 0 sin' 0 de

A: We have to find

Q: [3 cot.xsin x dk а.

A:

Q: Evaluate sin (ax + 6) dassuming that a and b are constants and a 0 O cos (az | b) C O cos (az + b)…

A: Given integral, ∫sinax+bdx

Q: 1. Which is equivalent to f sin y cos(/2) dy? [sin (1/2) - sin (³/2)] dy √ [sin(1/₂) + sin(³/2)] dy…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Evaluate. Write your answers in exact form. a) S*(secx tan x - x) dx b) sin x -dx 3+cos x

A: We have to evaluate the following integrals: a)  ∫0π4sec x tan x-xdxb)  ∫sin x3+cos xdx We know the…

Q: Which of the following is equivalent to sin(1 + 2i)? A) 3.17– 1.96i B) 3.17+1.96i C) -3.17+1.96i D)…

A:

Q: What is cos z

A: From the given figure XZ=45 and YZ=36  Using Pythagoras Theorem          cos z=adjacent…

Q: III. Given right triangle DEF, with right angle E, and sin D = 2 Which of the following expressions…

A:

Q: secx - I 10.) sin*x = 11.) 1- CSC X =- 2tan x sec x %3D sec?x I+ CsC X

A:

Q: sin (A+B) cos(A-B)

A:

Q: 4.) AABC ADFE. What is the sin(F)? 15 17 A 8. C F

A:

Q: After substitution is performed, which of the following is equivalent to ²x² cos 4x³ dx? 32 cos u 12…

A:

Q: -) sin A = d.) cos M = 34 25 hy 16 24 30 K e.) sin L = f.) tan G = M. 7. K 8. 15

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

Q: C: Proof that (Answer one only) a)L (cos?t- sin?t) = %3D s2 +36

A:

Q: Determine the following: L {3t e2t + 4et cos 5t + te2t}

A:

Q: dive ges. If it conve ges, find the Determine whether the seavence converges or n+1o Sin(n) 3n+ 2

A:

Q: Let a be a constant. Evaluate 2 | (24 + a² + a) sin(8x³) + 6x²)dx. -2

A:

Q: Find, without using tables, the values of Cos x and Sin x, when Cos 2x is : a) 1/8, b) 7/25, c)…

A: Given: We have to find the values of  and .Calculation:First we find the value of Now we find the…

Q: 7T 12 a) using sum/difference identity b) using half-angle identity Evaluate tan

A:

Q: 3 2 sin 20 cos 2 0 dO= 3/2 .a 64 2. 32 6/2 64

A: Option (a) is correct.

Q: Which of the following is not true? a) cos?t = 1+ sin²t b) sin?t = 1- cos²t c) csc?t = 1 + cot?t d)…

A: From the trigonometric relation: sin2t+cos2t=1 So, sin2t=1-cos2t Therefore, Option (b) is true and…

Q: 1 a E R, calculate: COs a For A = %3D COS a a) A-, use the adjunct b) |A°| c) |(A')-A²| d) 5A –…

A: