Advertisements
Advertisements
प्रश्न
Find the principal solution and general solution of the following:
tan θ = `- 1/sqrt(3)`
उत्तर
The principal value of tan θ lies in `(- pi/2, pi/2)`
Since tan θ = `- 1/sqrt(3) > 0`
The principal value of tan θ lies in the IV quadrant.
tan θ = `- 1/sqrt(3)`
= `- tan pi/6`
tan θ = `tan ( - pi/6)`
θ = `- pi/6` is the principal solution.
The general solution of tan θ is
θ = `"n"pi - pi/6`, n ∈ Z
APPEARS IN
संबंधित प्रश्न
If \[\tan x = \frac{a}{b},\] show that
Prove that: cos 24° + cos 55° + cos 125° + cos 204° + cos 300° = \[\frac{1}{2}\]
In a ∆ABC, prove that:
In a ∆A, B, C, D be the angles of a cyclic quadrilateral, taken in order, prove that cos(180° − A) + cos (180° + B) + cos (180° + C) − sin (90° + D) = 0
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 sec x + tan x = k, cos x =
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:
\[\sqrt{3} \cos x + \sin x = 1\]
Solve the following equation:
3tanx + cot x = 5 cosec x
If \[\tan px - \tan qx = 0\], then the values of θ form a series in
The general solution of the equation \[7 \cos^2 x + 3 \sin^2 x = 4\] is
A solution of the equation \[\cos^2 x + \sin x + 1 = 0\], lies in the interval
Solve the following equations:
cos θ + cos 3θ = 2 cos 2θ
Solve the following equations:
cot θ + cosec θ = `sqrt(3)`
Choose the correct alternative:
If sin α + cos α = b, then sin 2α is equal to
Find the general solution of the equation 5cos2θ + 7sin2θ – 6 = 0
