Using the vectors P = î cos 0 + ŷ sin0, Q = î cos 9 – ŷ sin o, R = â cos 4 + ŷ sin ø, prove the familiar trigonometric identities sin(0 +4) = sin 0 cos y + cos 0 sin o, cos(0 + y) = cos 0 cos o – sin 0 sin . %D

Q: B)Prove (cose + i sine)" = cosne + i sin ne

A:

Q: x= a cos4 theta y= a sin4 theta by the given equation, find the equation of a and b when theta is…

A:

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

A:

Q: Explain the maths simply!

A: We have to explain the math done in the given image.

Q: 1-3 1+3 cos 0-sin 0 Q: Find an acute angle 6, when cos 0 + sin O

A: cosθ-sinθcosθ+sinθ=1-31+3cross multipy:(1+3)cosθ-sinθ=(1-3)(cosθ+sinθ)

Q: 2 | (csc 0)(1 + sin? 0 + sin 0 cot? 0) do

A:

Q: d²p If p = a? cos? 0+ b² sin2 0, then show that p+ a²b? %3D COS p3

A:

Q: b) A particle moves in simple harmonic motion according to the equation, s = 0 x Acos(wt)+ 0 ×…

A:

Q: 6. Verify identity (cot2t + 1)(sin² t+ 1) = cot? t + 2 (show your work, step by step)

A:

Q: x= a cos4 theta y= a sin4 theta by the given equation, find the equation of a and b when theta is…

A:

Q: 8) Prove the trigonometric identity. (sin z + cos r)? = 1 + sin (2r)

A:

Q: / sin cas tJ sin)+/sin@to y=

A:

Q: c) do %3D sin*e cos?o

A: