Question

if Sin 3A =Cos (A-6°), find the value of A​

Answer 1

Answer:

sin3A=cos(A-6)

sin(90-3A)=Sin (A-6)

90-3A=A-6

A=24

Step-by-step explanation:

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Answer 2

Answer :

• Value of A is 24

Given :

• Sin 3A = cos (A - 6⁰)

To find :

• Value of A

Solution :

Given ,

• Sin 3A = cos (A - 6)

⟿ Sin 3A = cos (A - 6)

⟿ Sin 3A = sin(90 - (A - 6)

⟿ Sin(90 - A) = cos A

Then,

⟿ 3A = 90 (A - 6)

⟿ 3A = 90 - A + 6

⟿ 3A + A = 96

⟿ 4A = 96

⟿ A = 96/4

⟿ A = 24

Hence Value of A is 24