Find the period N of the sequence x(n) = cos 2nn cos 15 + sin sin 8 60 15 120 4

Q: Which expression is equal to cos(6t)?

A: Recall:  cos(2t)=cos2(t)-sin2(t)     Given,   cos(6t)

Q: evaluate exactly cos-1(-3/2)

A: -3/2 lies outside the domain of the function. Hence we will have no solution

Q: (cose – sin0)² = 1 – 2sin@cos0 %3D

A:

Q: to find the 12 Evaluate sin- exact value.

A: Given that

Q: 1 - cos 20 58. Show that tan? 0 1 + cos 20

A: It is known that by double angle formula, 1-cos2θ=2sin2θ1+cos2θ=2cos2θ

Q: Verify the identity: cos2 x - sin2 x = 2 cos2 x - 1

A:

Q: sin20 de 1+cos²0

A:

Q: cos49-sin*0 2. = 1– tan20 cos²0

A:

Q: Proving Identities. Verify the identity. (1-sin²t+ cos² t)² +4sin² t cos² t = 4cos² t

A:

Q: Solue [2 cos 0-31-5 from 0 02360°

A:

Q: Graph y = sin-1 x + cos-1 x in a [-2, 2, 1] by [0, 3, 1] viewing rectangle. What appears to be true…

A: y=sin-1x+cos-1x The graph is,

Q: Verify the identity : cos(α - β)/(cos α .sin β) = tan α + cot β

A: Given : cosα - βcosα sinβ = tanα + cotβ

Q: Show that V2 + V2 cos 2 and cos 16 and use it to find sin 16 Show that

A:

Q: Find the value of tan sin 2 3 3 O-5

A:

Q: Find cos 20 if sin 0 = cos 20

A:

Q: cos 8+sin e ) sec 20 + tan 20 cos 0-sin e

A:

Q: Find the value of 2 sin2 30° tan 60° – 3 cos2 60° sec2 30°

A:

Q: Verify the identity: [sin 2x + (sin 3x + sin x)]/[cos 2x + (cos 3x + cos x)] = tan 2x

A: Consider the identity, sin2x+sin3x+sinxcos2x+cos3x+cosx=tan2x To apply the trigonometric identity,…

Q: sin 60⁰ cos 300⁰

A:

Q: Establish the identity 2 2 cos - sin 0 2, 1 - tan 0 2 = cos 0.

A: To establish the identity

Q: i 4. (3– 3sin@)(3+3sin@)

A: