Prove the identity. sin(n-x)сos(n+x)tan(2π − x) T 3π 3π sec+ x)csc(³7-x)cot (³7 + x) = sin^x - sin²x

Q: sinx 4 COS x cos*. COS x

A: In this question, the concept of Integration is applied. Integration Integration is a method of…

Q: sin? x 1- 1-cos x =-COS X

A: Here we have to use the basic trigonometric identity sin2θ+cos2θ =1 and we know that  a2-b2=…

Q: 1//2 x8 Evaluate: sin" (1-2x')+ cos" (2axvi-x")} dx. 2x²)+cos* 1-x4 -1/V2

A:

Q: sin 2x 10. Simplify 1-cos x (a) 2cot x (1+ cos x) (b) sin 2x (1 + cos x) (c) sin 2x (d) – 2 tan x (1…

A:

Q: 2x3 sin? x + x4 sin³ x – 3 sin² x + x* cos x 2 . dx x4 sin² x

A: I have stated the used formulas in the solution

Q: sin (x) – cos²(x) Show that 1 F COS %3D CSC (x)

A:

Q: 1-cosx sinx

A: Using Trigonometry property,

Q: sin x = csc 2x cos x cos 3x sec 2x

A:

Q: 1 + sin x Differentiate y = x + cos x

A: As we know that: The Quotient rule: fg'=f'·g+g'·fg2 The Power rule: ddxxn=nxn-1 Given:…

Q: - sin sin -y = sin (x+y) Prove that cos Xcos 4 -y 4 -x sin 4 X - 4

A:

Q: simplify tan(x) 2 sin(5) x - sin(4) x cos(5) x cos(4) x + sin(x)

A: Please find the solution image in explanation section.Explanation:

Q: sin 4x cos 3x sin 2x tan 3z dx

A: (NOTE- Since it seems to be a typo mistake so, assuming that in the given integral all the variables…

Q: to 11. If sin 18 0.309, determine the value of cos 72.

A: Answering question number 11 since 10th is already been correctly solved.

Q: sin[arcsin(1)] = -1 1 sin 1

A: We know, sin[arcsin(x)]=x