Advertisements
Advertisements
Question
Find the general solution of the equation sin x + sin 3x + sin 5x = 0
Advertisements
Solution


APPEARS IN
RELATED QUESTIONS
Find the principal and general solutions of the equation sec x = 2
Find the general solution of cosec x = –2
Find the general solution of the equation sin 2x + cos x = 0
If \[\cot x \left( 1 + \sin x \right) = 4 m \text{ and }\cot x \left( 1 - \sin x \right) = 4 n,\] \[\left( m^2 + n^2 \right)^2 = mn\]
Prove the:
\[ \sqrt{\frac{1 - \sin x}{1 + \sin x}} + \sqrt{\frac{1 + \sin x}{1 - \sin x}} = - \frac{2}{\cos x},\text{ where }\frac{\pi}{2} < x < \pi\]
If \[T_n = \sin^n x + \cos^n x\], prove that \[2 T_6 - 3 T_4 + 1 = 0\]
Prove that:
\[\tan 4\pi - \cos\frac{3\pi}{2} - \sin\frac{5\pi}{6}\cos\frac{2\pi}{3} = \frac{1}{4}\]
If tan x = \[x - \frac{1}{4x}\], then sec x − tan x is equal to
If x = r sin θ cos ϕ, y = r sin θ sin ϕ and z = r cos θ, then x2 + y2 + z2 is independent of
If tan θ + sec θ =ex, then cos θ equals
The value of \[\tan1^\circ \tan2^\circ \tan3^\circ . . . \tan89^\circ\] is
Find the general solution of the following equation:
Find the general solution of the following equation:
Find the general solution of the following equation:
Find the general solution of the following equation:
Find the general solution of the following equation:
Find the general solution of the following equation:
Solve the following equation:
Solve the following equation:
Solve the following equation:
Solve the following equation:
\[\sqrt{3} \cos x + \sin x = 1\]
Solve the following equation:
\[\sin x - 3\sin2x + \sin3x = \cos x - 3\cos2x + \cos3x\]
Solve the following equation:
cosx + sin x = cos 2x + sin 2x
Write the number of solutions of the equation tan x + sec x = 2 cos x in the interval [0, 2π].
Write the solution set of the equation
The smallest value of x satisfying the equation
The general value of x satisfying the equation
\[\sqrt{3} \sin x + \cos x = \sqrt{3}\]
If \[4 \sin^2 x = 1\], then the values of x are
General solution of \[\tan 5 x = \cot 2 x\] is
Solve the following equations:
sin θ + sin 3θ + sin 5θ = 0
Solve the following equations:
`sin theta + sqrt(3) cos theta` = 1
Solve the following equations:
cos 2θ = `(sqrt(5) + 1)/4`
Choose the correct alternative:
`(cos 6x + 6 cos 4x + 15cos x + 10)/(cos 5x + 5cs 3x + 10 cos x)` is equal to
If 2sin2θ = 3cosθ, where 0 ≤ θ ≤ 2π, then find the value of θ.
Find the general solution of the equation 5cos2θ + 7sin2θ – 6 = 0
