HSC Science (Electronics) 12th Board ExamMaharashtra State Board
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# Solution - Find the general solution of : cos x - sin x = 1. - HSC Science (Electronics) 12th Board Exam - Mathematics and Statistics

ConceptGeneral Solution of Trigonometric Equation of the Type

#### 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 marks
Solution for question: Find the general solution of : cos x - sin x = 1. concept: null - General Solution of Trigonometric Equation of the Type. For the courses HSC Science (Electronics), HSC Science (Computer Science), HSC Science (General) , HSC Arts
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