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  1. The value of cos
    π
    - θ cos
    π
    - ∅ -sin
    π
    - θ sin
    π
    - ∅will be
    4444

    1. sin(θ – ∅)
    2. sin(θ + ∅)
    3. cos(θ – ∅)
    4. cos(θ + ∅)
Correct Option: B

Here,

cos
π
- θcos
π
- ∅
44

- sin
π
- θsin
π
- ∅ = ?
44

Let
π
- θ = A
4

π
- ∅ = B
4

⇒ cos
π
- θcos
π
- ∅
44

- sin
π
- θsin
π
- ∅ = ?
44

= cos
π
- θ +
π
- ∅
44

= cos
π
- θ - ∅
2

= cos
π
- (θ + ∅)
2

= sin (θ + ∅)
∵ cos
π
- θ = sinθ
2



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