Advertisements
Advertisements
प्रश्न
Solve the following equations:
cos 2θ = `(sqrt(5) + 1)/4`
Advertisements
उत्तर
We know cos 36° = `(sqrt(5) + 1)/4`, 36° = `pi/5`
cos 2θ = cos 36° = `cos (pi/5)`
The general solution is
2θ = `2"n"pi +- pi/5`, n ∈ Z
θ = `"n"pi +- pi/10`, n ∈ Z
APPEARS IN
संबंधित प्रश्न
If \[\sin x = \frac{a^2 - b^2}{a^2 + b^2}\], then the values of tan x, sec x and cosec x
Prove that: tan 225° cot 405° + tan 765° cot 675° = 0
Find x from the following equations:
\[cosec\left( \frac{\pi}{2} + \theta \right) + x \cos \theta \cot\left( \frac{\pi}{2} + \theta \right) = \sin\left( \frac{\pi}{2} + \theta \right)\]
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 \[x = - \frac{1}{\sqrt{5}}\] and θ lies in the IV quadrant, then the value of cos x is
Find the general solution of the following equation:
Solve the following equation:
Solve the following equation:
Solve the following equation:
Solve the following equation:
Solve the following equation:
Solve the following equation:
`cosec x = 1 + cot x`
If secx cos5x + 1 = 0, where \[0 < x \leq \frac{\pi}{2}\], find the value of x.
Write the solution set of the equation
Write the number of values of x in [0, 2π] that satisfy the equation \[\sin x - \cos x = \frac{1}{4}\].
The smallest value of x satisfying the equation
The smallest positive angle which satisfies the equation
General solution of \[\tan 5 x = \cot 2 x\] is
Solve the following equations:
sin θ + cos θ = `sqrt(2)`
