HSC Arts 12th Board ExamMaharashtra State Board
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Find the general solution of : cos x - sin x = 1. - HSC Arts 12th Board Exam - Mathematics and Statistics

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Question

Find the general solution of : cos x - sin x = 1.

Solution

cos x − sin x =1
Taking square on both the sides we get,

`therefore (cosx-sinx)^2=1^2`

`thereforecos^2x+sin^2x-2cosxsinx =1`

`therefore 1-2sinxcosx=1`

`therefore 2sinxcosx=0`

`=>sin2x=0`

`=>2x=npi+(-1)^nalpha`

But here α=0

`2x=nπ`

`x=(npi)/2`


The general solution is .

`x=(npi)/2`

  Is there an error in this question or solution?

APPEARS IN

 2014-2015 (March) (with solutions)
Question 3.2.1 | 4.00 marks
Solution Find the general solution of : cos x - sin x = 1. Concept: Trigonometric Functions - General Solution of Trigonometric Equation of the Type.
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