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6cosx-6sinx=3squareroot6,[0,2pi] get your answers in terms of pi

6cosx-6sinx=3squareroot6,[0,2pi] get your answers in terms of pi

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Answer #1

Given, 6 cosx - 6sinx =

cosx-sinx =

squaring on both sides,

cos2x+sin2x-2sinxcox = 3/2

1-2sinxcosx = 1.5

2sinxcox = -0.5..

(sin2a = 2sina cos a formula)

sin2x = -0.5

2x = sin-1(-0.5)

2x = -30

x = -15

which can be represented as 360-15 = 345o

which is represented as 345/180 pi = 1.9167 pi is the answer.

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