State the sum and difference formulas for the sine. sin (x + y) = sin (x) cos (y) + sin (y) cos(x) sin (x + y) = cos (x) cos (y) - sin (y) sin(x) cos (x) cos (y) + sin (y) sin(x) sin (x - y) = sin (x - y) = sin (x) cos (y) - sin (y) cos(x)

Q: Show that sin?(0) [1+ cot²(8)] = 1

A: Solve the given

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: Use  DeMoivre’s theorem  ( Cos(x) + jSin(x))n = Cos(nx) + jSin(nx) to show that Sin3θ=3sinθ- 4…

A:

Q: Show how sin(2) can be calculated using the fact that sin(7) 2

A: Recall: sinπ-θ=sin θ Given,  sinπ3=32

Q: Express cos (a) in terms of cos(2a). Express sin (a) in terms of cos(2a). cos² (a) COS sin (a)

A: (a) We have to express cos2α in terms of cos2α.

Q: 4 sec(8) = find cot(0) 2

A: Use trigonometric rations

Q: Verify that (sin(0) csc(0))+ (cot(0) tan(0)) = 2

A: We have to verify,

Q: Sin(39)=Cos ( ? )

A: We know, Sin(x) = Cos(90°-x)

Q: sin(cos (2x)), where 0<x<

A:

Q: Sin(x−6)=Cos(54) What does X = ?

A:

Q: sin(x) + cos(y) 1 + sin(x) cos(y).

A: Given query is to find the dy/dx at x = 0 and y = π/2

Q: Use  DeMoivre’s theorem  ( Cos(x) + jSin(x))n = Cos(nx) + jSin(nx) to show that Sin3θ=3sinθ- 4…

A:

Q: sin(2x) 2+ cos(2z) da ++

A:

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

A:

Q: State the sum and difference formulas for the cosine. cos (x + y) = cos (x) cos (y) - sin (y) sin(x)…

A:

Q: Sin (x) = i

A: