Question

8. If Sin 3x =Cos (x-6) ,then x equals

Answer 1

Answer:

Hey Mate!!

sin 3x = cos(x - 6)

••> cos (90 - 3x) = cos (x - 6)

••> 90 - 3x = x - 6

••> 90 + 6= x + 3x

••> 96 = 4x

••> x = 96 ÷ 4

••> x = 24°

Answer 2

$\huge\frak{\underline{\underline{\red{Your\:Answer}}}}$

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sin3x = cos(x-6)

We know that,

cosx = sin(90-x)

cos(x-6) = sin(90-x+6) = sin(96-x)

Hence,

sin3x = cos(x-6) = sin(96-x)

sin3x = sin(96-x)

3x = 96-x

3x+x = 96

4x = 96

x = 24

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$\huge\frak{\underline{\underline{\red{Thanks:)}}}}$