Q. 174.0( 3 Votes )
Find the general solution of each of the following equations:
cos x – sin x = -1
Answer :
To Find: General solution.
Given: cos x - sin x = 1 
cos(x + 
) = 
= cos 
[divide 
on both sides and cos(x-y) = cos x cos y - sin x sin y]
So sin x = 0 or cos x = 0
Formula used: cos
= cos
= 2k
, k
I
x + 
= 2k
x = 2k
- 
x = 2k
- 
or 
x = 2k
- 
x = 2k
- 
or x = 2k
So general solution is x = 2n
+ 
or x = (2n-1)
where n 
I
Rate this question :
How to find General Solution of Trigonometric Equations with RHS as 0, 1 or -136 mins
Practise Questions General Solution of Trigonometric Equations with RHS as 0, 1 or -133 mins
Interactive Quiz on trigonometric identities & equations52 mins
Quiz on Graph of Trigonometric Ratios40 mins
Trigonometry ratios of allied angles | Interactive Quiz38 mins
Graphs of trigonometric ratios | Trigonometric Identities39 mins
Trigonometric Functions - 0568 mins
Trigonometric Series45 mins
Conditional Identities31 mins
Transformation formula in compound angles | Interactive Quiz37 mins
Solve the following equations :
sin x – 3 sin 2x + sin 3x = cos x – 3 cos 2x + cos 3x
RD Sharma - Mathematics3sin2 x – 5 sin x cos x + 8 cos2 x = 2
RD Sharma - MathematicsSolve the following equations :
cos x + sin x = cos 2x + sin 2x
RD Sharma - MathematicsSolve : 
Solve the following equations :
3 tan x + cot x = 5 cosec x
RD Sharma - MathematicsSolve : 
Solve the following equations :
4 sin x cos x + 2 sin x + 2 cos x + 1 = 0
RD Sharma - MathematicsSolve the following equations :
5 cos2 x + 7 sin2 x – 6 = 0
RD Sharma - MathematicsFind the general solutions of the following equations :
Find the general solutions of the following equations :
