a sin (cos X) b cos (cos x) c sin (sin x) d cos (sin x) a By expressingy = x in the form y = sin (sin-x) where %3D -골<*<, prove that dr (sin (x) : cos (sin (x))' Pro b Use the identity cos x = VI - sin' x to mp help you express cos (sin x) in terms of sin (sin x) and si c Hence express the derivative of sinx in terms of x without the use of trigonometric functions. -1 d Differentiate cosx.

Q: cos( - x) = O sin( - x) O cos( + x) cos( - x) sin( + x)

A: The given expression is: cos π3-x Note that: cos θ=sin π2-θ

Q: sin 0 cos Od0 -u'du FC = - 1 cos“ 0 + C 19.

A:

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

A:

Q: f(x)= 2 sin x / 2 + cos x Find f’(x)= Simplify your answer. (Quotient Rule) Please explain it step…

A: Given query is to find the derivative of the function.

Q: (cos A + sin A)/(cos A - sin A) = (1+ sin(2A))/ cos(2A)

A:

Q: cos(4x) cos(2x) sin(4x) sec(2x) 12. Verify: - sin(2x)

A: cos(2x ) =cos2(x)-sin2(x) = 2cos2(x)-1 =1-2sin2(x) sin(2x) = 2sin(x) cos(x)

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: