3. Given matris M below, show that [sin² A Msin B sin C det Msin(A-I) sin(B-C) sin(CA) sin A cos A sin B cos B sin C cos C cos2 A cos2 B cos2 cl

Q: The value of 1 cos (tan ¹y) + y sin (tan¯¹y) cot (sin¯¹y) + tan (sin¯¹y) is......... +y¹

A:

Q: sin 60 cos" Od0

A:

Q: Determine the amplitude of the sinusoidal function π -3 sin [2(z − )] + 3 Y = +1

A: Given,             y=-3sin2x-π3+1To find : Determine the amplitude of the sinusoidal function.We…

Q: Show that sin a – sin b < Ja – b), for all a and b. (Hint: MVT) use -

A: Mean Value Theorem :  The mean value theorem states that a function f which is continuous on the…

Q: Prove that eax (a cos bx +b sin bx) + C. ax cos bxdx %3D a2 + b2

A: ∫eaxcosbxdx=eaxacosbx+bsinbxa2+b2+C

Q: tan²(z) cos³(z)dæ

A:

Q: Let z=x+ iy with x and y are real. What is the imaginary part of sin (x + iy)

A:

Q: Prove or disprove: sin(arg(1-2i))=sin(arg(-1+2i))

A: We need to prove or disprove that ,  sinarg1 - 2i = sinarg-1 + 2i We know that , if z = x + iy is…

Q: Let the position vcctor bc R CE) = <3€,2 cos (3€), 2 sin (3€) Compute the curuature

A:

Q: Determine the angular frequency of the sinusoid (a²b² a x =- cos ab

A: Given: x=abcos(a2b2tπ-abπ)

Q: sin 2t Cos 2t I) sec t = 1) sin t COs t

A:

Q: 2. Estimate cos (– 0.1) + cos 4

A: As per given question  We have to solve above question

Q: -2n 1 9. Evaluate : de 6+ sine

A: Given, ∫02π16+sinθdθ=2∫0π16+sinθdθ Let us take…

Q: Equation: Answer:

A: We want to find value of x. For this we use Pythagoras theorem, which states that Hypotenuse2 =…

Q: 10. Prove that 7/2 sin 0 cos (cos a cosec 0) do -(1-cos a). 2 ||

A:

Q: Compute 2° sin(x" + 2) dæ. O -7 cos(x" + 2) + C O 1 cos(x² + 2) + C O - cos(2" + 2) +C 1 cos(2" + 2)…

A:

Q: Compute | cos z dz. cos z +C 3 cos a + sin z +C 3 sin r + cos x +C 3 Cos x - sin I sin z + 5 sin x…

A:

Q: cos () da. COS

A:

Q: Express cos { θ + π/2 ) and sin { θ + π/2 } ) in terms of cosθ and sinθ.

A: Given  cosθ+π2, sinθ+π2

Q: 18 sin=+icos- 3.

A: Given complex number is sinπ6 + icosπ618

Q: Write the differential equation and then determine whether you have overdamped,critically damped,or…

A: Introduction: The differential equation of motion of an unforced damped harmonic oscillation is…

Q: Compute cos æ dæ. cos x +C 3 cos a sin x +C sin r cos a + cos x +C sin a +C 3 sin r + sin I 3 sin a…

A: Given, ∫cos3x dx We can write it as by using the trigonometric identity as, cos2x=1-sin2x∫cos3x…

Q: Is 1 sin u sec u TRUE for all values of u? - COs³ U 1 + sin u

A:

Q: Let A = {1, 2,...,: 10}. Find the closure and the interior of A in the following topo- logical…

A: In mathematics, topology is the study of the properties of spaces that are preserved under…