Question

Hello..!

If Cos7A=sin(A-6°),where 7A is an acute angle,find the value of A

#Maths

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Answer 1

Answer:

Step-by-step explanation:

$Heya$

Given,

Cos7A=sin(A-6°)

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Answer 2

$\huge \boxed{ \bf{Answer}}$


${ \bf \: Given} : Cos 7A = Sin (A - 6°)$


${\bf \: To \: Find :} \: A$


=> Cos 7A = Sin(A - 6°)

=> Sin(90° - 7A) = Sin (A - 6°)

[ since, CosA = Sin(90°-A) ]

=> 90° - 7A = A - 6°

=> 90° + 6° = A + 7A

=> 96° = 8A

=> A = 12°


So, our required answer is

$\boxed{ \bf \: A \: = 12°}$