Question

If Sin θ = cos (θ – 6°), find the value of θ​

Answer 1

Answer:

Ф = 48°

Step-by-step explanation:

Here sinФ = cos(Ф - 6)

cos(90° - Ф) = cos(Ф - 6) [∵ sinФ = cos(90° - Ф)]

Comparing both sides

90° - Ф = Ф - 6

2Ф = 96

Ф = 48°

Answer 2

• sin θ = sin( 90° - θ + 6° )
• 2θ = 96°
• θ = 48°
• Value of θ is 48°

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