Question

costita-sintita if a)Tita7π/4 b)Tita=,11π/3​

Answer 1

Answer:

√2

(1 + √3)/2

Step-by-step explanation:

I)cos θ - sin θ

θ = 7π/4

= Cos (7π/4) - Sin (7π/4)

= Cos(2π - π/4) - Sin(2π - π/4)

= Cos(π/4) - (-Sin(π/4))

= Cos(π/4) + Sin(π/4)

= 1/√2  + 1/√2

= 2/√2

ANS= √2

II)cos θ - sin θ

θ = 11π/3

= Cos (11π/3) - Sin (11π/3)

= Cos(4π - π/3) - Sin(4π - π/3)

= Cos(π/3) - (-Sin(π/3))

= Cos(π/3) + Sin(π/3)

= 1/2  + √3/2

ANS= = (1 + √3)/2

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