4 Se + 5x* + 10 cos x + 2)dx 5e" + x° + 10 sin x + 2x + c 5et + x 10 sin x + 2+c - et x° + cos x + 2 + c - et + x 10 sin x + 2x + c - 5e" + x° +E 10 cos x + 2x + c

Q: he signal is to be sampled, what is the minimum sampling frequency w, to intain the signal without…

A: Given: x(t) = (1 + cos(5t)) sin(15t)

Q: Prove that (1+i)" +1(1-i)" = 2 cos %3D

A: We will solve the following

Q: What is the particular solution of the function 3e" sin 5x – cos 5x? A cos 5æ + Bsin 5x + C'e" cos…

A:

Q: tan 0 de equals to : 1+sece In |1+tane|+c In |1+sece|+c O (tane)^2/2+c -In |1+cose|+c

A:

Q: Evaluate cos x + 2 cos x +1 dx sin' x sin x 主x+c sin 主tC 3 sin x cos x COS X + x +c cos xsin X 3 COs…

A:

Q: 06 Express cos 0 in terms of multiple angles. O (cos50 + cos30 + cos0)/16 O (cos50 + cos30 + cos0)/8…

A: Please find attachment for the details solution

Q: Determine L{"e3r cos(t-7)dr} 0 Select one: (8+3)(82+1) 8 (8+3)(82-1) 8 (8-3)(82+1) 8 (8-3)(82-1)

A:

Q: is there a proof that cos^2t +sin^2t=x^2 + y^2 =1 ? if there is , how?

A: To prove the below statement Consider a right angle triangle as shown below

Q: (1 + cos-1 (5x))³ = O A. O B. O C. O D. O E. -15(1+cos-¹ (5x))2 √(1-25x²) -15(1+cos-¹ (5x))2 1+5x2)…

A:

Q: tan (+) = [² Lt) ton" (+ tan (4+/cmc+)) In 2 4 2 6 • tan À I 12 1²0 (+) - — tan² (+) + & tan² (+) +…

A:

Q: 1-Sin 2x Sin Ge)-Ces c -Sinc- Cosk 1- Sin 2x - Sinx+ Cosc Sinx-Casx -Sin x +CUIX - Sin le)(-Sine +…

A:

Q: 3 1 + cos² x –sin² x ) dx \csc³ x

A:

Q: f6)= Sin () (x 3x26x-8) 1 CosX In Ceos x) | $66)=Sinx+t Cosx. sinsetl -6()=DSin -2053 2.

A:

Q: sin2xdx 1) S7 o sin+x+cos4x

A:

Q: prove that sec-1x = cos-11 = cos-11

A:

Q: Find 1+sin -cos I COS In | sin - z+cos In In 1+tan +C +C +C +C

A: We can evaluate the given integral by using the substitution u = tan (x/2).

Q: Solve the following algebraically:  a) tan (theta)+cos(theta)/1+sin(theta)=sec (theta) b)…

A: a) Here we have to show that  tanθ+cosθ/1+sinθ=secθ Now here we use the formula tan(θ)=sin(θ)cos(θ)…

Q: Show that cos 2x-cos 6x sin 6x-sin 2x b) Hence or otherwise, solve = tan 4x cos 4x cos 2x-cos 4x cos…

A: Hence proved

Q: 18( cos54 + isin54°) 3(cos102" + isin102" )

A:

Q: | -3x cos 4x dx A) - 16 3 cos 48 -x sin 4x + C 3 3 3 B) cos 4x -x sin 3x +C 16 3 cos 4x - 16 3 C) -…

A: To evaluate the given intgral.

Q: which of these possible solutions for cos^2x +n sin^2x - 1 = 0 in the interval x R [0,2pi]

A: This question is based on Trigonometric equation.

Q: 5. y + 4y = sin x + 3 cos x Ans: y = C₁ + C₂ cos 2x + C3 sin 2x + sinx-cosx

A:

Q: J. (cos x + |cos x| ) dx S. %3D 2

A: see 2nd step

Q: 6) Prove cos4x -sin+x= cos 2x

A:

Q: sin 4t sin 2t dt 1 sin 6t + C 12 cos 6t + C sin 2t + B) sin 2t 1 · sin 6t + C 12 D) 1 sin 2t + C 12…

A:

Q: if cos alpha + 2 cos beta + 3 cos gamma = 0 ; sin alpha + 2 Sin beta + 3 sin gamma = 0 then  cos 3…

A:

Q: c) (cos 2x)² + cos 2x + 1 = 0 [-π, π]

A:

Q: 2(csc270°)+7(cos90°)^2+sec0°=

A: Solving by trigonometric ratios we have