Question

If sin(2x+7) = cos(4x-7) what is the X value

Answer 1

Answer:

☆ ANSWER ☆

$\sin(2x + 7) = \cos(4x - 7) \\ \cos(90 - 2x - 7) = \cos(4x - 7) \\ 90 - 2x - 7 = 4x - 7 \\ 90 - 2x = 4x \\ 6x = 90 \\ x = 90 \div 6 \\ x = 15$

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Answer 2

Answer:

Given, sin(2x+7) = cos(4x-7) ...................(1)

as we know that ,SinФ = Cos(90-Ф)

So take LHS

we have Sin (2x+7) = Cos (90-(2x+7))

i,e Sin(2x+7) = Cos (90-2x-7)

so equation (1) can be written as

⇒Cos(90-2x-7) = Cos(4x-7)

⇒90-2x-7 = 4x-7

⇒6x = 90

and x = 90/6 = 15

hence X = 15