HSC Arts 12th Board ExamMaharashtra State Board
Share

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

ConceptTrigonometric Functions General 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 | 4.00 marks
Solution Find the general solution of : cos x - sin x = 1. Concept: Trigonometric Functions - General Solution of Trigonometric Equation of the Type.
S